Figures for the paper "Beam energy dependent two-pion interferomety and the freeze-out anisotropy of pions in heavy ion collisions at STAR"

Figure 01 - PID through dEdx

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Figure 02 - 2D projections of correlation function

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Figure 03 - Event plane resolutions

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Event plane resolution for different energies and event centrality:

Centrality 7.7 GeV 11.5 GeV 19.6 GeV 27 GeV 39 GeV 62.4 GeV 200 GeV

2.5% +/- 2.5% 0.228913 +/- 0.00600148 0.309921 +/- 0.00254953 0.379449 +/- 0.00165998 0.411038 +/- 0.00110326 0.452447 +/- 0.00177987 0.483038 +/- 0.00143532 0.568757 +/- 0.00102626

7.5% +/- 2.5% 0.361014 +/- 0.00359198 0.436305 +/- 0.00169684 0.506435 +/- 0.00116297 0.535728 +/- 0.000760123 0.575764 +/- 0.00124915 0.60677 +/- 0.000985758 0.68853 +/- 0.000679762

15% +/- 5% 0.460842 +/- 0.00180234 0.533357 +/- 0.00088142 0.60304 +/- 0.000598659 0.633474 +/- 0.000392718 0.671081 +/- 0.000642828 0.702087 +/- 0.000498835 0.777469 +/- 0.000333885

25% +/- 5% 0.487466 +/- 0.00167042 0.557636 +/- 0.000819627 0.625955 +/- 0.000551855 0.658535 +/- 0.000359048 0.694423 +/- 0.000585425 0.725618 +/- 0.000456284 0.802481 +/- 0.000296436

35% +/- 5% 0.443088 +/- 0.00186423 0.512762 +/- 0.000941984 0.578229 +/- 0.000647427 0.61512 +/- 0.000413187 0.650278 +/- 0.000687499 0.684982 +/- 0.000537919 0.77084 +/- 0.000349419

45% +/- 5% 0.35324 +/- 0.00251698 0.418769 +/- 0.00123852 0.482227 +/- 0.000861226 0.522484 +/- 0.000546177 0.558298 +/- 0.000933789 0.597639 +/- 0.000721514 0.691352 +/- 0.00049583

55% +/- 5% 0.255452 +/- 0.00372035 0.306499 +/- 0.00179972 0.362552 +/- 0.00128129 0.400075 +/- 0.000812569 0.434289 +/- 0.00133439 0.466447 +/- 0.00105836 0.566057 +/- 0.000752038

65% +/- 5% 0.172905 +/- 0.00546952 0.210951 +/- 0.00280238 0.254669 +/- 0.00192086 0.278748 +/- 0.0011989 0.309425 +/- 0.0021068 0.335144 +/- 0.00168634 0.420943 +/- 0.00120597

Figure 04 - Oscillating HBT radii

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HHLW Radii uncorrected for resolution and binning

phi (degrees) R²_o (fm) R²_s (fm) R²_l (fm) R²_os (fm) R²_ol (fm)

0 16.1086 +- 0.12145 13.6324 +- 0.08589 15.251 +- 0.110257 0.081804 +- 0.080633 -0.072017 +- 0.096275

45 17.888 +- 0.143439 12.6518 +- 0.08762 15.8374 +- 0.123653 1.57445 +- 0.088914 -0.04961 +- 0.109901

90 19.4379 +- 0.166004 11.7969 +- 0.086532 15.7127 +- 0.130976 0.056834 +- 0.095244 -0.04253 +- 0.121552

135 17.8953 +- 0.14216 12.5882 +- 0.085219 15.4571 +- 0.120172 -1.33469 +- 0.085575 0.017272 +- 0.108072

180 16.1086 +- 0.12145 13.6324 +- 0.08589 15.251 +- 0.110257 0.081804 +- 0.080633 -0.072017 +- 0.096275

HHLW Radii corrected for resolution and binning

phi (degrees) R²_o (fm) R²_s (fm) R²_l (fm) R²_os (fm) R²_ol (fm)

0 15.2858 +- 0.110113 14.1614 +- 0.084765 15.1125 +- 0.10417 0.078562 +- 0.076381 -0.071404 +- 0.089389

45 17.9893 +- 0.143299 12.7722 +- 0.08684 15.9628 +- 0.124242 2.71212 +- 0.08927 -0.065109 +- 0.109498

90 21.4532 +- 0.193069 10.8289 +- 0.08508 15.9056 +- 0.141642 0.018152 +- 0.102792 -0.00506 +- 0.135819

135 17.9961 +- 0.14146 12.6523 +- 0.085228 15.2923 +- 0.119746 -2.41393 +- 0.084831 0.053997 +- 0.10599

180 15.2858 +- 0.110113 14.1614 +- 0.084765 15.1125 +- 0.10417 0.078562 +- 0.076381 -0.071404 +- 0.089389

Radius values according to global fit of Fourier Coefficients

phi (degrees) R²_o (fm) R²_s (fm) R²_l (fm) R²_os (fm) R²_ol (fm)

0 15.3359 +- 0.167334 14.2022 +- 0.115881 14.6681 +- 0.160747 0.0905958 +- 0.0429621 -0.103748 +- 0.171248

4.5 15.3718 +- 0.165827 14.1828 +- 0.114741 14.6806 +- 0.159188 0.505948 +- 0.0463849 -0.102767 +- 0.169416

9 15.4787 +- 0.161372 14.1251 +- 0.111367 14.7178 +- 0.154577 0.911073 +- 0.0551279 -0.0998466 +- 0.163983

13.5 15.6539 +- 0.154177 14.0306 +- 0.105896 14.7786 +- 0.147108 1.296 +- 0.0664938 -0.0950598 +- 0.155142

18 15.8932 +- 0.144603 13.9015 +- 0.0985724 14.8617 +- 0.137117 1.65124 +- 0.0785066 -0.0885242 +- 0.143227

22.5 16.1906 +- 0.133187 13.7411 +- 0.0897578 14.965 +- 0.125114 1.96805 +- 0.0899675 -0.0804006 +- 0.128737

27 16.5387 +- 0.120696 13.5532 +- 0.0799776 15.0859 +- 0.11183 2.23863 +- 0.100125 -0.0708891 +- 0.112395

31.5 16.9292 +- 0.108198 13.3426 +- 0.0699919 15.2215 +- 0.0983184 2.45633 +- 0.108475 -0.0602239 +- 0.0952761

36 17.3522 +- 0.097142 13.1143 +- 0.060913 15.3684 +- 0.0860993 2.61576 +- 0.11467 -0.0486677 +- 0.0790965

40.5 17.7974 +- 0.089325 12.8741 +- 0.0542896 15.5231 +- 0.0772418 2.71303 +- 0.118477 -0.0365049 +- 0.0666701

45 18.2539 +- 0.0864679 12.6278 +- 0.0518115 15.6816 +- 0.0739443 2.74572 +- 0.11976 -0.024035 +- 0.0618122

49.5 18.7104 +- 0.089325 12.3815 +- 0.0542896 15.8401 +- 0.0772418 2.71303 +- 0.118477 -0.0115651 +- 0.0666701

54 19.1556 +- 0.097142 12.1413 +- 0.060913 15.9948 +- 0.0860993 2.61576 +- 0.11467 0.000597672 +- 0.0790965

58.5 19.5786 +- 0.108198 11.913 +- 0.0699919 16.1417 +- 0.0983184 2.45633 +- 0.108475 0.0121539 +- 0.0952761

63 19.9691 +- 0.120696 11.7024 +- 0.0799776 16.2773 +- 0.11183 2.23863 +- 0.100125 0.0228191 +- 0.112395

67.5 20.3172 +- 0.133187 11.5145 +- 0.0897578 16.3982 +- 0.125114 1.96805 +- 0.0899675 0.0323306 +- 0.128737

72 20.6146 +- 0.144603 11.3541 +- 0.0985724 16.5015 +- 0.137117 1.65124 +- 0.0785066 0.0404542 +- 0.143227

76.5 20.8539 +- 0.154177 11.225 +- 0.105896 16.5846 +- 0.147108 1.296 +- 0.0664938 0.0469898 +- 0.155142

81 21.0291 +- 0.161372 11.1305 +- 0.111367 16.6454 +- 0.154577 0.911073 +- 0.0551279 0.0517766 +- 0.163983

85.5 21.136 +- 0.165827 11.0728 +- 0.114741 16.6826 +- 0.159188 0.505948 +- 0.0463849 0.0546966 +- 0.169416

90 21.1719 +- 0.167334 11.0534 +- 0.115881 16.695 +- 0.160747 0.0905958 +- 0.0429621 0.055678 +- 0.171248

94.5 21.136 +- 0.165827 11.0728 +- 0.114741 16.6826 +- 0.159188 -0.324756 +- 0.0463849 0.0546966 +- 0.169416

99 21.0291 +- 0.161372 11.1305 +- 0.111367 16.6454 +- 0.154577 -0.729881 +- 0.0551279 0.0517766 +- 0.163983

103.5 20.8539 +- 0.154177 11.225 +- 0.105896 16.5846 +- 0.147108 -1.1148 +- 0.0664938 0.0469898 +- 0.155142

108 20.6146 +- 0.144603 11.3541 +- 0.0985724 16.5015 +- 0.137117 -1.47004 +- 0.0785066 0.0404542 +- 0.143227

112.5 20.3172 +- 0.133187 11.5145 +- 0.0897578 16.3982 +- 0.125114 -1.78686 +- 0.0899675 0.0323306 +- 0.128737

117 19.9691 +- 0.120696 11.7024 +- 0.0799776 16.2773 +- 0.11183 -2.05744 +- 0.100125 0.0228191 +- 0.112395

121.5 19.5786 +- 0.108198 11.913 +- 0.0699919 16.1417 +- 0.0983184 -2.27513 +- 0.108475 0.0121539 +- 0.0952761

126 19.1556 +- 0.097142 12.1413 +- 0.060913 15.9948 +- 0.0860993 -2.43457 +- 0.11467 0.000597672 +- 0.0790965

130.5 18.7104 +- 0.089325 12.3815 +- 0.0542896 15.8401 +- 0.0772418 -2.53184 +- 0.118477 -0.0115651 +- 0.0666701

135 18.2539 +- 0.0864679 12.6278 +- 0.0518115 15.6816 +- 0.0739443 -2.56452 +- 0.11976 -0.024035 +- 0.0618122

139.5 17.7974 +- 0.089325 12.8741 +- 0.0542896 15.5231 +- 0.0772418 -2.53184 +- 0.118477 -0.0365049 +- 0.0666701

144 17.3522 +- 0.097142 13.1143 +- 0.060913 15.3684 +- 0.0860993 -2.43457 +- 0.11467 -0.0486677 +- 0.0790965

148.5 16.9292 +- 0.108198 13.3426 +- 0.0699919 15.2215 +- 0.0983184 -2.27513 +- 0.108475 -0.0602239 +- 0.0952761

153 16.5387 +- 0.120696 13.5532 +- 0.0799776 15.0859 +- 0.11183 -2.05744 +- 0.100125 -0.0708891 +- 0.112395

157.5 16.1906 +- 0.133187 13.7411 +- 0.0897578 14.965 +- 0.125114 -1.78686 +- 0.0899675 -0.0804006 +- 0.128737

162 15.8932 +- 0.144603 13.9015 +- 0.0985724 14.8617 +- 0.137117 -1.47004 +- 0.0785066 -0.0885242 +- 0.143227

166.5 15.6539 +- 0.154177 14.0306 +- 0.105896 14.7786 +- 0.147108 -1.1148 +- 0.0664938 -0.0950598 +- 0.155142

171 15.4787 +- 0.161372 14.1251 +- 0.111367 14.7178 +- 0.154577 -0.729881 +- 0.0551279 -0.0998466 +- 0.163983

175.5 15.3718 +- 0.165827 14.1828 +- 0.114741 14.6806 +- 0.159188 -0.324756 +- 0.0463849 -0.102767 +- 0.169416

180 15.3359 +- 0.167334 14.2022 +- 0.115881 14.6681 +- 0.160747 0.0905958 +- 0.0429621 -0.103748 +- 0.171248

Figure 05 - 1D projections and fits

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Phi = 0 degrees
q (GeV/c) C(q_o) data C(q_o) fit C(q_s) data C(q_s) fit C(q_l) data C(q_l) fit

-0.195 0.988085 +- 0.00388725 0.993681 +- 0.00160101 1.00292 +- 0.00258712 0.99931 +- 0.00105171 0.995176 +- 0.0039182 0.999309 +- 0.00160677

-0.185 0.987059 +- 0.00381092 0.993042 +- 0.00157036 0.994888 +- 0.00256348 0.999237 +- 0.00104563 0.987406 +- 0.00375332 0.999237 +- 0.00154438

-0.175 0.986888 +- 0.00374152 0.992343 +- 0.00153935 0.998959 +- 0.00255588 0.999142 +- 0.00104111 1.00055 +- 0.00363836 0.999141 +- 0.00149072

-0.165 0.982034 +- 0.00366562 0.991571 +- 0.00151096 0.991703 +- 0.00253581 0.999054 +- 0.00103589 0.997708 +- 0.00352198 0.999052 +- 0.00144212

-0.155 0.980738 +- 0.00359515 0.990691 +- 0.00148039 0.997324 +- 0.00253442 0.998965 +- 0.00103379 0.998959 +- 0.00341105 0.998959 +- 0.00139791

-0.145 0.990384 +- 0.00354523 0.989725 +- 0.00145279 0.998577 +- 0.0025248 0.998846 +- 0.00102983 1.00493 +- 0.00333908 0.998826 +- 0.00136346

-0.135 0.990488 +- 0.00347617 0.988644 +- 0.0014239 0.997404 +- 0.00251719 0.998768 +- 0.00102755 1.00548 +- 0.00324481 0.998708 +- 0.00132522

-0.125 0.987434 +- 0.00341001 0.987517 +- 0.00139565 0.996548 +- 0.00250809 0.998849 +- 0.00102562 1.00348 +- 0.00316632 0.998685 +- 0.00129273

-0.115 0.977892 +- 0.00334596 0.986434 +- 0.00137318 0.992686 +- 0.00249868 0.999379 +- 0.00102315 1.00122 +- 0.00308553 0.998976 +- 0.00126179

-0.105 0.984162 +- 0.00329222 0.985848 +- 0.00134652 0.9994 +- 0.00249857 1.00088 +- 0.00102138 1.01162 +- 0.0030392 0.999978 +- 0.0012362

-0.095 0.991774 +- 0.00323984 0.986592 +- 0.00132161 1.00676 +- 0.00249832 1.00426 +- 0.00102117 1.014 +- 0.00296574 1.00247 +- 0.00120748

-0.085 0.988364 +- 0.003177 0.990424 +- 0.00130219 1.00327 +- 0.00248975 1.01195 +- 0.00102381 1.01772 +- 0.002913 1.00875 +- 0.00118841

-0.075 0.998148 +- 0.00313131 1.0001 +- 0.00128677 1.0266 +- 0.00251984 1.02686 +- 0.00103481 1.02707 +- 0.0028547 1.02181 +- 0.00117135

-0.065 1.01507 +- 0.00310603 1.01928 +- 0.00128303 1.04538 +- 0.00253786 1.05208 +- 0.00105182 1.05058 +- 0.00282764 1.04504 +- 0.00116709

-0.055 1.03947 +- 0.00307738 1.05129 +- 0.00128531 1.08846 +- 0.00259229 1.0896 +- 0.00108075 1.07507 +- 0.00280135 1.08116 +- 0.0011726

-0.045 1.07922 +- 0.0030702 1.09722 +- 0.0012985 1.14239 +- 0.00266242 1.13888 +- 0.00111972 1.11414 +- 0.00279216 1.13031 +- 0.00118772

-0.035 1.13795 +- 0.00308692 1.15376 +- 0.00131839 1.2017 +- 0.00273072 1.19461 +- 0.00116048 1.16738 +- 0.00280267 1.18764 +- 0.00120775

-0.025 1.21066 +- 0.00310796 1.21218 +- 0.00133416 1.26022 +- 0.00281967 1.24196 +- 0.00120548 1.23219 +- 0.00285545 1.23796 +- 0.00123333

-0.015 1.27144 +- 0.00313096 1.26056 +- 0.00134678 1.27901 +- 0.00310389 1.26416 +- 0.00133354 1.26701 +- 0.00308862 1.2638 +- 0.00133289

-0.005 1.30651 +- 0.00313598 1.28742 +- 0.00135046 1.25277 +- 0.00360309 1.26093 +- 0.00156315 1.30317 +- 0.00353484 1.26578 +- 0.00150552

0.005 1.30714 +- 0.0031413 1.28742 +- 0.00135154 1.25125 +- 0.00359745 1.26096 +- 0.00156169 1.30097 +- 0.00354057 1.26585 +- 0.00150754

0.015 1.26239 +- 0.00311677 1.26059 +- 0.00134451 1.27345 +- 0.00309626 1.2642 +- 0.00133297 1.27456 +- 0.00309706 1.26372 +- 0.00133342

0.025 1.21305 +- 0.00310918 1.21217 +- 0.00133407 1.25709 +- 0.0028171 1.24196 +- 0.00120578 1.22569 +- 0.00285072 1.23793 +- 0.001234

0.035 1.14102 +- 0.00309682 1.15377 +- 0.0013198 1.20244 +- 0.00273574 1.19458 +- 0.00116147 1.16796 +- 0.00280307 1.18766 +- 0.00120736

0.045 1.08181 +- 0.00307714 1.09722 +- 0.00130011 1.14132 +- 0.00265908 1.13888 +- 0.00111854 1.1103 +- 0.00278984 1.1303 +- 0.00118698

0.055 1.0332 +- 0.0030702 1.05128 +- 0.00128549 1.0858 +- 0.00259169 1.0896 +- 0.00108107 1.06938 +- 0.00279534 1.08116 +- 0.00117154

0.065 1.0214 +- 0.00311212 1.01927 +- 0.0012832 1.05176 +- 0.00254672 1.05209 +- 0.00105339 1.04925 +- 0.00282619 1.04506 +- 0.00116765

0.075 0.992791 +- 0.00312846 1.00011 +- 0.00128668 1.02236 +- 0.00251336 1.02687 +- 0.00103472 1.02859 +- 0.00285549 1.02181 +- 0.00117136

0.085 0.987168 +- 0.00317597 0.990431 +- 0.001301 1.00518 +- 0.00249458 1.01195 +- 0.00102507 1.02733 +- 0.00292304 1.00875 +- 0.00118879

0.095 0.989371 +- 0.00323524 0.986602 +- 0.00132167 0.997891 +- 0.00248803 1.00426 +- 0.00101997 1.01588 +- 0.0029695 1.00247 +- 0.00120878

0.105 0.985307 +- 0.00329177 0.985851 +- 0.00134555 0.999018 +- 0.00249935 1.00088 +- 0.00102171 1.01079 +- 0.00302963 0.999978 +- 0.00123463

0.115 0.983456 +- 0.00334752 0.986435 +- 0.00137107 0.991344 +- 0.00249809 0.999379 +- 0.00102287 1.00205 +- 0.00309024 0.998976 +- 0.00126241

0.125 0.987758 +- 0.00341143 0.987506 +- 0.00139637 1.00195 +- 0.00251598 0.998849 +- 0.00102588 1.00245 +- 0.00316816 0.998685 +- 0.00129438

0.135 0.976043 +- 0.00345158 0.988646 +- 0.00142189 0.996437 +- 0.0025136 0.998769 +- 0.00102766 1.00481 +- 0.00324761 0.998708 +- 0.00132633

0.145 0.99019 +- 0.00353105 0.989721 +- 0.00144914 0.998865 +- 0.00252936 0.998846 +- 0.00103133 1.0052 +- 0.00333505 0.998826 +- 0.0013626

0.155 0.980517 +- 0.00358985 0.990702 +- 0.00147826 0.989547 +- 0.00252428 0.998965 +- 0.00103268 0.99816 +- 0.00341112 0.998959 +- 0.0013974

0.165 0.982868 +- 0.00365527 0.991577 +- 0.00150624 0.996597 +- 0.00254142 0.999054 +- 0.00103693 1.00057 +- 0.0035279 0.999052 +- 0.00144313

0.175 0.976698 +- 0.00371063 0.992344 +- 0.00153414 1.00252 +- 0.00255834 0.999142 +- 0.00104099 0.995961 +- 0.00363601 0.999141 +- 0.00149015

0.185 0.992965 +- 0.0038189 0.993047 +- 0.00156845 0.996192 +- 0.00256657 0.999237 +- 0.00104687 1.00667 +- 0.00377804 0.999237 +- 0.00154415

0.195 0.986048 +- 0.00387164 0.993681 +- 0.00159581 0.990432 +- 0.00257522 0.99931 +- 0.00105189 0.999154 +- 0.00392485 0.999309 +- 0.00160813

Phi = 45 degrees
q (GeV/c) C(q_o) data C(q_o) fit C(q_s) data C(q_s) fit C(q_l) data C(q_l) fit

-0.195 0.983772 +- 0.00461438 0.993787 +- 0.00184918 1.00157 +- 0.00287797 0.99931 +- 0.00114883 0.997859 +- 0.00455542 0.999309 +- 0.00182021

-0.185 0.987628 +- 0.00452719 0.993157 +- 0.0018105 0.98942 +- 0.00285931 0.999238 +- 0.00114585 0.999821 +- 0.00437888 0.999237 +- 0.00174843

-0.175 0.990558 +- 0.00443894 0.992466 +- 0.00177176 0.999745 +- 0.00286474 0.999143 +- 0.00114309 1.00967 +- 0.00424307 0.999141 +- 0.00168818

-0.165 0.981302 +- 0.00432389 0.991701 +- 0.00173237 0.995414 +- 0.00285241 0.999058 +- 0.00114036 1.00588 +- 0.00407925 0.999052 +- 0.00162631

-0.155 0.990015 +- 0.00425059 0.990827 +- 0.00169568 0.993103 +- 0.00284469 0.998976 +- 0.00113826 1.00225 +- 0.00395347 0.998956 +- 0.00157838

-0.145 0.983803 +- 0.00415975 0.989876 +- 0.00166227 0.997465 +- 0.0028471 0.998879 +- 0.00113754 1.0011 +- 0.00385319 0.998816 +- 0.00153645

-0.135 0.987179 +- 0.00407442 0.988778 +- 0.00162431 0.993719 +- 0.0028461 0.998861 +- 0.00113811 0.999123 +- 0.00375132 0.998675 +- 0.00149723

-0.125 0.980533 +- 0.00398718 0.987598 +- 0.00159282 0.996451 +- 0.00285289 0.999082 +- 0.00113912 1.00698 +- 0.0036704 0.998586 +- 0.00146007

-0.115 0.982076 +- 0.00391238 0.98638 +- 0.0015587 0.996548 +- 0.00284133 0.999913 +- 0.00113745 1.00816 +- 0.00358373 0.998711 +- 0.0014253

-0.105 0.973695 +- 0.00382525 0.985406 +- 0.0015272 0.999462 +- 0.00284824 1.00198 +- 0.0011393 1.00903 +- 0.00350153 0.999345 +- 0.00139131

-0.095 0.99034 +- 0.00377099 0.985383 +- 0.00149793 1.00446 +- 0.00284916 1.00632 +- 0.00114026 1.00988 +- 0.00343204 1.00112 +- 0.00136221

-0.085 0.993493 +- 0.00369328 0.987763 +- 0.00146907 1.00797 +- 0.00285468 1.01539 +- 0.0011474 1.02037 +- 0.00337234 1.0062 +- 0.00133828

-0.075 0.995347 +- 0.00362861 0.995195 +- 0.00144788 1.0245 +- 0.00287501 1.03192 +- 0.00116057 1.03097 +- 0.00330295 1.01752 +- 0.00131634

-0.065 0.991042 +- 0.00355555 1.01158 +- 0.00143564 1.0563 +- 0.00292484 1.05857 +- 0.00118604 1.0519 +- 0.00326643 1.03874 +- 0.00130908

-0.055 1.03005 +- 0.00354412 1.04095 +- 0.00143777 1.09082 +- 0.00298374 1.09666 +- 0.00122009 1.06352 +- 0.00321794 1.0731 +- 0.00131268

-0.045 1.0725 +- 0.00353399 1.08563 +- 0.00144969 1.14104 +- 0.00305756 1.14496 +- 0.00126284 1.10494 +- 0.00321371 1.12148 +- 0.00132936

-0.035 1.128 +- 0.00353741 1.14326 +- 0.00147047 1.20593 +- 0.00314896 1.19804 +- 0.00131005 1.16071 +- 0.00322487 1.17953 +- 0.00135292

-0.025 1.19809 +- 0.00354918 1.20505 +- 0.00148847 1.25734 +- 0.00323768 1.24164 +- 0.00135556 1.21772 +- 0.00327238 1.23201 +- 0.00138382

-0.015 1.26453 +- 0.00356932 1.25754 +- 0.00150405 1.26903 +- 0.00353739 1.26002 +- 0.00148896 1.26467 +- 0.00352165 1.26085 +- 0.00148639

-0.005 1.30039 +- 0.00358586 1.28705 +- 0.00151404 1.24332 +- 0.00408448 1.25354 +- 0.00173231 1.3048 +- 0.00404021 1.2653 +- 0.00168374

0.005 1.3098 +- 0.00358548 1.28707 +- 0.00151139 1.2474 +- 0.00408572 1.25358 +- 0.00173158 1.28744 +- 0.0040157 1.26511 +- 0.00168191

0.015 1.26298 +- 0.00356577 1.25752 +- 0.00150365 1.2658 +- 0.00353168 1.26005 +- 0.00148819 1.27036 +- 0.003529 1.2608 +- 0.00148675

0.025 1.19923 +- 0.00355397 1.20499 +- 0.00149014 1.25454 +- 0.00323941 1.24153 +- 0.00135737 1.22343 +- 0.00327354 1.23204 +- 0.00138227

0.035 1.13371 +- 0.00354296 1.14328 +- 0.00147026 1.20181 +- 0.00314319 1.19802 +- 0.00130969 1.15637 +- 0.00321843 1.17951 +- 0.00135317

0.045 1.06524 +- 0.00351952 1.08569 +- 0.00144765 1.14672 +- 0.0030599 1.14503 +- 0.00126269 1.09796 +- 0.00320136 1.1215 +- 0.00132832

0.055 1.03235 +- 0.00354462 1.04097 +- 0.00143665 1.09361 +- 0.00298439 1.09666 +- 0.00122035 1.07237 +- 0.00322783 1.07307 +- 0.00131261

0.065 1.01111 +- 0.00358455 1.01155 +- 0.00143719 1.05654 +- 0.0029297 1.0586 +- 0.00118664 1.04838 +- 0.00325834 1.03875 +- 0.00130875

0.075 0.991838 +- 0.00362024 0.995192 +- 0.0014481 1.03462 +- 0.00289448 1.03191 +- 0.00116357 1.02796 +- 0.00330769 1.01752 +- 0.00131924

0.085 0.988567 +- 0.0036887 0.987754 +- 0.00146964 1.01299 +- 0.00286724 1.01538 +- 0.0011504 1.01953 +- 0.00336624 1.0062 +- 0.00133598

0.095 0.981922 +- 0.00376075 0.985381 +- 0.00149926 1.00845 +- 0.00286147 1.00632 +- 0.0011432 1.01946 +- 0.00344728 1.00112 +- 0.00136486

0.105 0.98384 +- 0.00382908 0.985404 +- 0.00152633 1.00066 +- 0.00285487 1.00198 +- 0.00114137 1.00575 +- 0.00349869 0.999346 +- 0.00139164

0.115 0.992571 +- 0.0039234 0.986375 +- 0.00155806 1.00089 +- 0.00286322 0.999913 +- 0.00114232 1.00322 +- 0.00357682 0.998711 +- 0.0014239

0.125 0.985664 +- 0.00399835 0.987586 +- 0.00159325 0.994654 +- 0.00285856 0.999082 +- 0.00114196 1.00483 +- 0.00367181 0.998586 +- 0.00146186

0.135 0.987227 +- 0.00407723 0.988775 +- 0.00162831 0.997351 +- 0.00286191 0.998861 +- 0.00114273 1.00521 +- 0.00375821 0.998675 +- 0.0014955

0.145 0.982697 +- 0.00414992 0.989858 +- 0.0016594 0.997555 +- 0.00286286 0.998879 +- 0.00114386 1.00373 +- 0.00386941 0.998816 +- 0.00154013

0.155 0.984613 +- 0.0042394 0.990827 +- 0.00169588 0.998675 +- 0.00285985 0.998976 +- 0.00114223 1.00653 +- 0.00397442 0.998956 +- 0.00158213

0.165 0.987492 +- 0.00434081 0.991695 +- 0.00173382 1.00734 +- 0.00287429 0.999058 +- 0.00114423 1.00668 +- 0.00410006 0.999052 +- 0.00163092

0.175 0.987033 +- 0.00443778 0.992466 +- 0.00177389 1.00358 +- 0.00287922 0.999143 +- 0.00114788 0.997999 +- 0.00421896 0.999141 +- 0.00168403

0.185 0.984953 +- 0.00452439 0.993159 +- 0.00181028 1.0129 +- 0.00289487 0.999238 +- 0.00115045 0.99804 +- 0.00437495 0.999237 +- 0.00174696

0.195 0.99394 +- 0.00463546 0.993782 +- 0.00184998 1.01182 +- 0.00290862 0.99931 +- 0.00115615 1.00485 +- 0.00458001 0.999309 +- 0.00182487

Phi = 90 degrees
q (GeV/c) C(q_o) data C(q_o) fit C(q_s) data C(q_s) fit C(q_l) data C(q_l) fit

-0.195 0.989131 +- 0.00576489 0.993947 +- 0.00222035 1.00043 +- 0.00328075 0.99931 +- 0.00127928 1.0111 +- 0.00551791 0.999309 +- 0.00212607

-0.185 0.978541 +- 0.00559015 0.993337 +- 0.0021625 1.00382 +- 0.00327544 0.999239 +- 0.00127667 1.0075 +- 0.00525824 0.999237 +- 0.0020326

-0.175 0.987508 +- 0.00547974 0.992636 +- 0.00211257 1.00164 +- 0.00327292 0.999148 +- 0.00127533 0.987498 +- 0.00502698 0.999141 +- 0.00195376

-0.165 0.977728 +- 0.00529934 0.991874 +- 0.0020533 1.01003 +- 0.00329265 0.999073 +- 0.00127932 1.00605 +- 0.00489645 0.999051 +- 0.0018908

-0.155 0.987398 +- 0.00521402 0.991027 +- 0.00201213 1.00119 +- 0.00328372 0.999021 +- 0.00127864 0.992825 +- 0.00473683 0.998955 +- 0.00183705

-0.145 0.979385 +- 0.0050762 0.990047 +- 0.00196118 1.00197 +- 0.00330573 0.999001 +- 0.00128527 0.99601 +- 0.00459234 0.99881 +- 0.00177836

-0.135 0.972997 +- 0.00495572 0.988976 +- 0.00191793 1.00094 +- 0.00330758 0.999163 +- 0.00128649 0.993626 +- 0.00448015 0.998655 +- 0.00173526

-0.125 0.984305 +- 0.00486325 0.987735 +- 0.00187413 0.991934 +- 0.00330651 0.999771 +- 0.00129059 1.00482 +- 0.00438142 0.998522 +- 0.00169069

-0.115 0.98309 +- 0.004714 0.986409 +- 0.00182121 1.00257 +- 0.00332482 1.00135 +- 0.00129442 1.00096 +- 0.00426789 0.998528 +- 0.00164988

-0.105 0.982988 +- 0.00462136 0.985053 +- 0.0017818 1.00393 +- 0.00333358 1.00471 +- 0.00129866 1.01394 +- 0.00419073 0.998878 +- 0.00161046

-0.095 0.97792 +- 0.004511 0.984052 +- 0.00173949 1.00158 +- 0.00333877 1.01102 +- 0.0013062 1.01568 +- 0.00410538 1.00006 +- 0.0015769

-0.085 0.96989 +- 0.00437582 0.984402 +- 0.00169557 1.01761 +- 0.00335603 1.02269 +- 0.00131767 1.02382 +- 0.00401256 1.00408 +- 0.00154155

-0.075 0.975352 +- 0.00430823 0.988304 +- 0.00166829 1.04447 +- 0.00340873 1.04205 +- 0.00133989 1.02745 +- 0.00393902 1.01375 +- 0.00152012

-0.065 0.989686 +- 0.00422902 0.999591 +- 0.00164048 1.06557 +- 0.0034541 1.07089 +- 0.00137269 1.04086 +- 0.00387805 1.03292 +- 0.00150654

-0.055 1.0144 +- 0.00419385 1.02367 +- 0.00163631 1.10422 +- 0.00353018 1.10949 +- 0.00141454 1.06166 +- 0.00382432 1.06519 +- 0.00150637

-0.045 1.0549 +- 0.00416861 1.06507 +- 0.00164501 1.15232 +- 0.00361279 1.1557 +- 0.0014608 1.09098 +- 0.00379415 1.11229 +- 0.00152311

-0.035 1.11438 +- 0.00415237 1.12398 +- 0.00166327 1.21063 +- 0.00372631 1.20382 +- 0.00151506 1.14814 +- 0.00380739 1.17033 +- 0.00155068

-0.025 1.18283 +- 0.00416324 1.19197 +- 0.00169314 1.25199 +- 0.00382693 1.24115 +- 0.0015627 1.21908 +- 0.00386357 1.22447 +- 0.00158246

-0.015 1.26391 +- 0.00418683 1.25307 +- 0.00171652 1.27232 +- 0.00414309 1.25393 +- 0.00169377 1.26698 +- 0.00412479 1.25608 +- 0.00169428

-0.005 1.30599 +- 0.00419138 1.28876 +- 0.00172903 1.23615 +- 0.0047474 1.24282 +- 0.00195676 1.28761 +- 0.00471082 1.26347 +- 0.00192289

0.005 1.31451 +- 0.00420457 1.28882 +- 0.00173004 1.23673 +- 0.00475155 1.2427 +- 0.00195805 1.29962 +- 0.00471959 1.26337 +- 0.00192043

0.015 1.27336 +- 0.00421069 1.253 +- 0.00172248 1.27285 +- 0.00414367 1.25393 +- 0.00169482 1.25967 +- 0.00411059 1.25607 +- 0.00169091

0.025 1.17787 +- 0.00416042 1.19202 +- 0.00169406 1.25095 +- 0.00382153 1.24123 +- 0.00156187 1.22065 +- 0.00385974 1.22443 +- 0.00158168

0.035 1.12461 +- 0.00417276 1.12397 +- 0.00166492 1.21935 +- 0.00374211 1.20386 +- 0.00151711 1.15169 +- 0.00381464 1.17029 +- 0.00155151

0.045 1.05254 +- 0.00416096 1.06507 +- 0.00164309 1.15729 +- 0.00362703 1.15571 +- 0.00146394 1.10634 +- 0.00381322 1.11234 +- 0.00152362

0.055 1.01573 +- 0.00418533 1.02365 +- 0.0016342 1.11007 +- 0.00353583 1.10949 +- 0.00141459 1.07501 +- 0.00384219 1.06517 +- 0.00150748

0.065 0.980624 +- 0.00422467 0.99961 +- 0.00164229 1.05609 +- 0.00343988 1.0709 +- 0.00137064 1.0337 +- 0.00385192 1.03291 +- 0.00150121

0.075 0.99051 +- 0.00432626 0.988294 +- 0.00166753 1.03803 +- 0.00339799 1.04204 +- 0.00133973 1.02342 +- 0.00393414 1.01376 +- 0.00152006

0.085 0.983571 +- 0.00441132 0.984393 +- 0.00170024 1.01498 +- 0.00335097 1.02269 +- 0.0013168 1.01213 +- 0.00399824 1.00407 +- 0.00154022

0.095 0.974784 +- 0.00450758 0.984059 +- 0.00174082 1.01145 +- 0.00334519 1.01103 +- 0.00130581 1.00709 +- 0.0040848 1.00006 +- 0.00157393

0.105 0.985312 +- 0.00463481 0.985053 +- 0.0017846 1.00498 +- 0.00333335 1.00471 +- 0.00129824 0.999868 +- 0.00417078 0.998879 +- 0.001611

0.115 0.980947 +- 0.00473014 0.986415 +- 0.00182615 1.00958 +- 0.00333705 1.00135 +- 0.00129588 1.00681 +- 0.00427487 0.998528 +- 0.00164898

0.125 0.981184 +- 0.00485613 0.987755 +- 0.00187363 0.996683 +- 0.00331599 0.999771 +- 0.00129079 1.0009 +- 0.00436906 0.998522 +- 0.00168908

0.135 0.984095 +- 0.00497094 0.988971 +- 0.0019205 0.990991 +- 0.00329745 0.999163 +- 0.00128748 0.996422 +- 0.0044847 0.998655 +- 0.00173558

0.145 0.969632 +- 0.00508197 0.990062 +- 0.00196905 1.00147 +- 0.00329707 0.999001 +- 0.00128258 0.989242 +- 0.00457872 0.99881 +- 0.00177742

0.155 0.991342 +- 0.00523912 0.99102 +- 0.00201797 1.00815 +- 0.00329643 0.999021 +- 0.00128145 1.00051 +- 0.00474988 0.998955 +- 0.0018371

0.165 0.983551 +- 0.00534932 0.991872 +- 0.00206571 0.999932 +- 0.00327966 0.999073 +- 0.00127833 1.00205 +- 0.00488734 0.999051 +- 0.00188942

0.175 0.989985 +- 0.00549663 0.992654 +- 0.00211963 0.997113 +- 0.00326843 0.999148 +- 0.00127503 1.00726 +- 0.0050728 0.999141 +- 0.00195828

0.185 0.987194 +- 0.0056264 0.993325 +- 0.00216646 0.997346 +- 0.00326517 0.999239 +- 0.00127579 0.987908 +- 0.00523243 0.999237 +- 0.00203046

0.195 0.995722 +- 0.00580101 0.993941 +- 0.00222806 1.00608 +- 0.0032786 0.99931 +- 0.00127846 0.999868 +- 0.00548775 0.999309 +- 0.00212228

Phi = 135 degrees
q (GeV/c) C(q_o) data C(q_o) fit C(q_s) data C(q_s) fit C(q_l) data C(q_l) fit

-0.195 0.985796 +- 0.00461461 0.993784 +- 0.00184867 0.996813 +- 0.00289428 0.99931 +- 0.00115576 0.997875 +- 0.00456367 0.999309 +- 0.00182326

-0.185 0.985882 +- 0.00452546 0.993162 +- 0.00181095 1.0023 +- 0.00287879 0.999238 +- 0.00114917 0.994715 +- 0.00436514 0.999237 +- 0.00174614

-0.175 0.986561 +- 0.00442941 0.992465 +- 0.00177048 1.00186 +- 0.00287413 0.999144 +- 0.00114586 0.988855 +- 0.0041981 0.999141 +- 0.00168143

-0.165 0.983782 +- 0.00433087 0.991699 +- 0.00173399 1.00135 +- 0.00286969 0.999059 +- 0.00114477 0.990739 +- 0.00408495 0.999052 +- 0.00163417

-0.155 0.98494 +- 0.00425735 0.990837 +- 0.00170023 1.00189 +- 0.00286617 0.99898 +- 0.00114335 0.989165 +- 0.00394984 0.998956 +- 0.00158218

-0.145 0.982709 +- 0.00414863 0.989854 +- 0.00165919 0.99872 +- 0.00286117 0.998891 +- 0.00114212 0.99978 +- 0.00385453 0.998815 +- 0.0015376

-0.135 0.987225 +- 0.00409148 0.988768 +- 0.00163024 1.00269 +- 0.00286152 0.998892 +- 0.00114114 0.99765 +- 0.00375011 0.998674 +- 0.00149757

-0.125 0.983435 +- 0.00399305 0.987574 +- 0.00159393 1.0057 +- 0.0028637 0.999158 +- 0.00114057 0.997269 +- 0.0036569 0.998582 +- 0.00145904

-0.115 0.991362 +- 0.00392469 0.986339 +- 0.00155964 0.99274 +- 0.00284928 1.00008 +- 0.00114145 0.995725 +- 0.00356613 0.998699 +- 0.00142368

-0.105 0.994345 +- 0.0038407 0.985313 +- 0.00152516 0.999845 +- 0.00285009 1.00232 +- 0.0011403 1.00511 +- 0.00350118 0.999317 +- 0.00139263

-0.095 0.979919 +- 0.00374747 0.985125 +- 0.00149363 1.00672 +- 0.00285559 1.00692 +- 0.00114254 1.01995 +- 0.003438 1.00106 +- 0.00136122

-0.085 0.975565 +- 0.00367065 0.987209 +- 0.0014672 1.01655 +- 0.00286577 1.01635 +- 0.00114995 1.01797 +- 0.00335897 1.00607 +- 0.00133462

-0.075 0.989802 +- 0.00361712 0.994176 +- 0.00144494 1.03074 +- 0.00288816 1.03334 +- 0.00116485 1.02284 +- 0.00329867 1.0173 +- 0.0013173

-0.065 1.01036 +- 0.00356975 1.00994 +- 0.00143245 1.0525 +- 0.00292009 1.06034 +- 0.00118717 1.04043 +- 0.00325333 1.03841 +- 0.00130786

-0.055 1.0258 +- 0.0035333 1.03878 +- 0.0014333 1.10438 +- 0.00299282 1.09862 +- 0.00122157 1.06897 +- 0.0032215 1.07259 +- 0.00131203

-0.045 1.07041 +- 0.00353101 1.08327 +- 0.00144703 1.15329 +- 0.00306607 1.14673 +- 0.00126434 1.11278 +- 0.00321782 1.1209 +- 0.00132822

-0.035 1.12874 +- 0.00353468 1.14126 +- 0.00146743 1.20687 +- 0.00314631 1.19906 +- 0.00130997 1.16386 +- 0.00322739 1.17891 +- 0.00135257

-0.025 1.20319 +- 0.00355767 1.2037 +- 0.00148885 1.25433 +- 0.00323744 1.24191 +- 0.00135674 1.22526 +- 0.00326459 1.23154 +- 0.00137867

-0.015 1.26872 +- 0.00357449 1.25721 +- 0.00150459 1.27804 +- 0.00353524 1.25965 +- 0.00148542 1.2732 +- 0.00353103 1.26051 +- 0.0014872

-0.005 1.31409 +- 0.00357809 1.28759 +- 0.00150795 1.2508 +- 0.00409531 1.25256 +- 0.00173283 1.29569 +- 0.00403565 1.26543 +- 0.00168549

0.005 1.30288 +- 0.00357515 1.28761 +- 0.00151041 1.245 +- 0.00408779 1.25253 +- 0.00173225 1.30163 +- 0.00403395 1.26551 +- 0.00168452

0.015 1.26663 +- 0.00357078 1.25726 +- 0.00150436 1.27834 +- 0.00353405 1.25963 +- 0.0014852 1.27114 +- 0.00352573 1.26054 +- 0.00148532

0.025 1.20029 +- 0.00355362 1.20377 +- 0.00148869 1.2535 +- 0.00323278 1.24185 +- 0.00135575 1.22273 +- 0.00326849 1.23145 +- 0.00138032

0.035 1.12572 +- 0.00353359 1.14126 +- 0.00146759 1.20566 +- 0.0031426 1.19912 +- 0.00130963 1.15691 +- 0.00321116 1.17892 +- 0.00135007

0.045 1.07325 +- 0.00353509 1.08322 +- 0.0014481 1.14227 +- 0.00304955 1.14676 +- 0.00126196 1.10911 +- 0.00320732 1.12091 +- 0.00132687

0.055 1.02672 +- 0.003537 1.03877 +- 0.00143369 1.09497 +- 0.00298011 1.09862 +- 0.00122044 1.06573 +- 0.00321772 1.07262 +- 0.00131081

0.065 1.00066 +- 0.00356328 1.00994 +- 0.00143186 1.05981 +- 0.0029248 1.06034 +- 0.00118583 1.03357 +- 0.00324041 1.03841 +- 0.00130687

0.075 0.982584 +- 0.00360614 0.994185 +- 0.00144554 1.02756 +- 0.00287786 1.03333 +- 0.00116123 1.02328 +- 0.00329056 1.0173 +- 0.00131486

0.085 0.977717 +- 0.00366826 0.987211 +- 0.0014661 1.01066 +- 0.00285037 1.01635 +- 0.00114635 1.02144 +- 0.00336605 1.00607 +- 0.00133542

0.095 0.978838 +- 0.00374311 0.985122 +- 0.00149436 1.00421 +- 0.002847 1.00692 +- 0.00114016 1.00779 +- 0.00342272 1.00106 +- 0.00136044

0.105 0.975972 +- 0.00381882 0.98531 +- 0.00152582 0.997188 +- 0.00283995 1.00232 +- 0.00113773 1.00682 +- 0.00350044 0.999317 +- 0.00139207

0.115 0.983673 +- 0.00391937 0.986347 +- 0.00156014 0.998832 +- 0.00284453 1.00008 +- 0.00113692 1.00467 +- 0.00357933 0.9987 +- 0.00142448

0.125 0.985312 +- 0.00399455 0.987577 +- 0.00159235 1.00344 +- 0.00284979 0.999157 +- 0.00113696 0.996525 +- 0.00365296 0.998582 +- 0.00145855

0.135 0.970315 +- 0.00404686 0.988776 +- 0.00162478 0.997521 +- 0.00284552 0.998892 +- 0.00113739 1.00323 +- 0.00376844 0.998673 +- 0.00149983

0.145 0.984374 +- 0.00416383 0.989864 +- 0.00166369 0.990788 +- 0.00283382 0.998891 +- 0.00113606 1.00303 +- 0.00385736 0.998815 +- 0.00153658

0.155 0.980448 +- 0.00424115 0.990848 +- 0.0016984 0.993685 +- 0.00284672 0.99898 +- 0.00113931 0.994964 +- 0.00395374 0.998956 +- 0.00157966

0.165 0.985997 +- 0.00433301 0.991703 +- 0.00173209 0.991824 +- 0.00285092 0.999059 +- 0.00114065 1.00204 +- 0.00409633 0.999052 +- 0.00163166

0.175 0.985024 +- 0.00441908 0.992468 +- 0.00176872 0.990993 +- 0.00284911 0.999144 +- 0.00114127 1.00274 +- 0.00422257 0.999141 +- 0.00168367

0.185 0.990021 +- 0.0045287 0.993164 +- 0.00180989 0.987719 +- 0.00285832 0.999238 +- 0.00114502 1.00166 +- 0.00438667 0.999237 +- 0.0017497

0.195 0.985122 +- 0.00462154 0.993793 +- 0.00184939 0.988088 +- 0.00286413 0.99931 +- 0.0011477 0.994382 +- 0.00454983 0.999309 +- 0.00181942

Figure 06 - Traditional HBT excitation function

eps | pdf | png

Expt sqrt(s) (GeV) λ R_o (fm) R_s (fm) R_l (fm)

E895 2.347 0.990 +- 0.060 6.220 +- 0.260 6.280 +- 0.200 5.150 +- 0.190

E895 3.040 0.740 +- 0.030 5.790 +- 0.160 5.370 +- 0.110 5.150 +- 0.140

E895 3.608 0.630 +- 0.030 5.760 +- 0.230 5.050 +- 0.120 4.720 +- 0.180

E895 4.095 0.650 +- 0.050 5.480 +- 0.310 4.830 +- 0.210 4.640 +- 0.240

E866 4.849 0.542 +- 0.041 5.410 +- 0.330 4.550 +- 0.420 3.610 +- 0.300

CERES 8.760 - 4.515 +- 0.316 5.110 +- 0.292 4.667 +- 0.304

CERES 12.320 - 5.061 +- 0.340 4.858 +- 0.282 5.075 +- 0.294

CERES 17.270 - 5.600 +- 0.333 4.865 +- 0.240 5.849 +- 0.254

NA49 6.3 0.64 +- 0.11 4.98 +- 0.45 4.73 +- 0.22 4.42 +- 0.32

NA49 7.6 0.58 +- 0.10 5.21 +- 0.45 4.65 +- 0.22 4.51 +- 0.32

NA49 8.8 0.57 +- 0.09 5.37 +- 0.44 4.63 +- 0.21 4.74 +- 0.32

NA49 12.3 0.66 +- 0.12 5.55 +- 0.46 4.74 +- 0.22 5.17 +- 0.34

NA49 17.3 0.52 +- 0.10 5.29 +- 0.50 4.66 +- 0.20 5.19 +- 0.32

NA44 17.270 0.524 +- 0.026 5.350 +- 0.250 5.070 +- 0.350 6.680 +- 0.390

WA98 17.270 0.324 +- 0.066 6.290 +- 0.650 5.130 +- 0.390 5.450 +- 0.870

STAR 7.7 0.53162 +- 0.0073233 5.56851 +- 0.13416 4.93449 +- 0.0966063 5.01443 +- 0.113695

STAR 11.5 0.508369 +- 0.00381846 5.67653 +- 0.0739899 4.78635 +- 0.0507441 5.42759 +- 0.0701463

STAR 19.6 0.498419 +- 0.00239838 5.84087 +- 0.047361 4.83625 +- 0.0332015 5.7974 +- 0.0472674

STAR 27 0.491693 +- 0.00169039 5.81775 +- 0.0336146 4.8907 +- 0.0242054 5.98998 +- 0.0350745

STAR 39 0.490873 +- 0.003524 5.8604 +- 0.0661505 4.96732 +- 0.0496485 6.18026 +- 0.0780461

STAR 62.4 0.468 +- 0.00272 5.91412 +- 0.0602392 5.00157 +- 0.041259 6.32953 +- 0.0662081

STAR 200 0.450022 +- 0.002655 5.88623 +- 0.0572241 5.20713 +- 0.042596 6.64397 +- 0.0688818

ALICE 2760 - 6.92 +- 0.73 6.36 +- 0.66 8.03 +- 0.57

Expt	sqrt(s) (GeV)	λ	R_o (fm)	R_s (fm)	R_l (fm)
E895	2.347	0.990 +- 0.060	6.220 +- 0.260	6.280 +- 0.200	5.150 +- 0.190
E895	3.040	0.740 +- 0.030	5.790 +- 0.160	5.370 +- 0.110	5.150 +- 0.140
E895	3.608	0.630 +- 0.030	5.760 +- 0.230	5.050 +- 0.120	4.720 +- 0.180
E895	4.095	0.650 +- 0.050	5.480 +- 0.310	4.830 +- 0.210	4.640 +- 0.240
E866	4.849	0.542 +- 0.041	5.410 +- 0.330	4.550 +- 0.420	3.610 +- 0.300
CERES	8.760	-	4.515 +- 0.316	5.110 +- 0.292	4.667 +- 0.304
CERES	12.320	-	5.061 +- 0.340	4.858 +- 0.282	5.075 +- 0.294
CERES	17.270	-	5.600 +- 0.333	4.865 +- 0.240	5.849 +- 0.254
NA49	6.3	0.64 +- 0.11	4.98 +- 0.45	4.73 +- 0.22	4.42 +- 0.32
NA49	7.6	0.58 +- 0.10	5.21 +- 0.45	4.65 +- 0.22	4.51 +- 0.32
NA49	8.8	0.57 +- 0.09	5.37 +- 0.44	4.63 +- 0.21	4.74 +- 0.32
NA49	12.3	0.66 +- 0.12	5.55 +- 0.46	4.74 +- 0.22	5.17 +- 0.34
NA49	17.3	0.52 +- 0.10	5.29 +- 0.50	4.66 +- 0.20	5.19 +- 0.32
NA44	17.270	0.524 +- 0.026	5.350 +- 0.250	5.070 +- 0.350	6.680 +- 0.390
WA98	17.270	0.324 +- 0.066	6.290 +- 0.650	5.130 +- 0.390	5.450 +- 0.870
STAR	7.7	0.53162 +- 0.0073233	5.56851 +- 0.13416	4.93449 +- 0.0966063	5.01443 +- 0.113695
STAR	11.5	0.508369 +- 0.00381846	5.67653 +- 0.0739899	4.78635 +- 0.0507441	5.42759 +- 0.0701463
STAR	19.6	0.498419 +- 0.00239838	5.84087 +- 0.047361	4.83625 +- 0.0332015	5.7974 +- 0.0472674
STAR	27	0.491693 +- 0.00169039	5.81775 +- 0.0336146	4.8907 +- 0.0242054	5.98998 +- 0.0350745
STAR	39	0.490873 +- 0.003524	5.8604 +- 0.0661505	4.96732 +- 0.0496485	6.18026 +- 0.0780461
STAR	62.4	0.468 +- 0.00272	5.91412 +- 0.0602392	5.00157 +- 0.041259	6.32953 +- 0.0662081
STAR	200	0.450022 +- 0.002655	5.88623 +- 0.0572241	5.20713 +- 0.042596	6.64397 +- 0.0688818
ALICE	2760	-	6.92 +- 0.73	6.36 +- 0.66	8.03 +- 0.57

Figure 07 - Difference and Ratio between Rout and Rside

eps | pdf | png

R_o²-R_s² (fm²) for 0-5% centrality

sqrt(s_NN) (GeV) m_T=0.26 GeV/c² m_T=0.33 GeV/c² m_T=0.42 GeV/c² m_T=0.52 GeV/c²

7.7 6.66395 +- 0.754333 6.20862 +- 0.495515 5.53896 +- 0.58701 2.61178 +- 0.674004

11.5 9.31385 +- 0.416658 7.42692 +- 0.270369 4.85407 +- 0.311093 3.42518 +- 0.344682

19.6 10.7264 +- 0.271488 8.29929 +- 0.196279 5.0623 +- 0.220152 3.59449 +- 0.244504

27 9.92626 +- 0.190896 8.08658 +- 0.139077 5.07597 +- 0.155585 2.97769 +- 0.164613

39 9.67002 +- 0.389301 7.51504 +- 0.258715 4.5653 +- 0.284136 3.05384 +- 0.301585

62.4 9.96111 +- 0.346262 7.06339 +- 0.220283 4.11584 +- 0.243667 2.25301 +- 0.250054

200 7.5335 +- 0.338957 4.48709 +- 0.21517 1.44198 +- 0.208401 -0.156474 +- 0.204486

sqrt(s_NN) (GeV) m_T=0.29 GeV/c² m_T=0.38 GeV/c² m_T=0.46 GeV/c² m_T=0.56 GeV/c²

2760 (ALICE) 7.437 +- 1.6 -1.216 +- 1.04 -3.62 +- 0.8 -3.476 +- 0.85

sqrt(s_NN) (GeV)	m_T=0.26 GeV/c²	m_T=0.33 GeV/c²	m_T=0.42 GeV/c²	m_T=0.52 GeV/c²
7.7	6.66395 +- 0.754333	6.20862 +- 0.495515	5.53896 +- 0.58701	2.61178 +- 0.674004
11.5	9.31385 +- 0.416658	7.42692 +- 0.270369	4.85407 +- 0.311093	3.42518 +- 0.344682
19.6	10.7264 +- 0.271488	8.29929 +- 0.196279	5.0623 +- 0.220152	3.59449 +- 0.244504
27	9.92626 +- 0.190896	8.08658 +- 0.139077	5.07597 +- 0.155585	2.97769 +- 0.164613
39	9.67002 +- 0.389301	7.51504 +- 0.258715	4.5653 +- 0.284136	3.05384 +- 0.301585
62.4	9.96111 +- 0.346262	7.06339 +- 0.220283	4.11584 +- 0.243667	2.25301 +- 0.250054
200	7.5335 +- 0.338957	4.48709 +- 0.21517	1.44198 +- 0.208401	-0.156474 +- 0.204486

sqrt(s_NN) (GeV)	m_T=0.29 GeV/c²	m_T=0.38 GeV/c²	m_T=0.46 GeV/c²	m_T=0.56 GeV/c²
2760 (ALICE)	7.437 +- 1.6	-1.216 +- 1.04	-3.62 +- 0.8	-3.476 +- 0.85

R_o/R_s for 0-5% centrality

sqrt(s_NN) (GeV) m_T=0.26 GeV/c² m_T=0.33 GeV/c² m_T=0.42 GeV/c² m_T=0.52 GeV/c²

7.7 1.1286 +- 0.0150187 1.14542 +- 0.0121748 1.1563 +- 0.0173714 1.0859 +- 0.022739

11.5 1.18598 +- 0.00866763 1.17089 +- 0.00652907 1.13162 +- 0.00877815 1.11001 +- 0.0114557

19.6 1.20773 +- 0.00553337 1.18485 +- 0.00464479 1.13242 +- 0.00598367 1.11314 +- 0.00797981

27 1.18953 +- 0.00379415 1.17718 +- 0.00320795 1.13041 +- 0.00415111 1.09194 +- 0.00522132

39 1.17979 +- 0.00763251 1.16051 +- 0.00578653 1.11483 +- 0.00739336 1.09353 +- 0.00949797

62.4 1.18245 +- 0.00659924 1.1473 +- 0.00479616 1.10217 +- 0.00627405 1.06656 +- 0.00753237

200 1.13042 +- 0.00607776 1.08858 +- 0.00438809 1.03451 +- 0.00505858 0.995464 +- 0.00591999

sqrt(s_NN) (GeV) m_T=0.29 GeV/c² m_T=0.38 GeV/c² m_T=0.46 GeV/c² m_T=0.56 GeV/c²

2760 (ALICE) 1.088 +- 0.028 0.9837 +- 0.019 0.938 +- 0.019 0.9319 +- 0.02

sqrt(s_NN) (GeV)	m_T=0.26 GeV/c²	m_T=0.33 GeV/c²	m_T=0.42 GeV/c²	m_T=0.52 GeV/c²
7.7	1.1286 +- 0.0150187	1.14542 +- 0.0121748	1.1563 +- 0.0173714	1.0859 +- 0.022739
11.5	1.18598 +- 0.00866763	1.17089 +- 0.00652907	1.13162 +- 0.00877815	1.11001 +- 0.0114557
19.6	1.20773 +- 0.00553337	1.18485 +- 0.00464479	1.13242 +- 0.00598367	1.11314 +- 0.00797981
27	1.18953 +- 0.00379415	1.17718 +- 0.00320795	1.13041 +- 0.00415111	1.09194 +- 0.00522132
39	1.17979 +- 0.00763251	1.16051 +- 0.00578653	1.11483 +- 0.00739336	1.09353 +- 0.00949797
62.4	1.18245 +- 0.00659924	1.1473 +- 0.00479616	1.10217 +- 0.00627405	1.06656 +- 0.00753237
200	1.13042 +- 0.00607776	1.08858 +- 0.00438809	1.03451 +- 0.00505858	0.995464 +- 0.00591999

sqrt(s_NN) (GeV)	m_T=0.29 GeV/c²	m_T=0.38 GeV/c²	m_T=0.46 GeV/c²	m_T=0.56 GeV/c²
2760 (ALICE)	1.088 +- 0.028	0.9837 +- 0.019	0.938 +- 0.019	0.9319 +- 0.02

Figure 8 - m_T, energy and centrality dependence of HBT radii

eps | pdf | png

7 GeV 0-5% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260902 5.56851 +- 0.0568528 4.93449 +- 0.0434895 5.01443 +- 0.0507727

0.326568 5.10971 +- 0.0393788 4.4605 +- 0.0327137 4.26782 +- 0.0348636

0.415655 4.68763 +- 0.051171 4.05423 +- 0.0423567 3.64874 +- 0.0412629

0.521936 4.14595 +- 0.0645967 3.81793 +- 0.0526935 3.18044 +- 0.0506763

7 GeV 5-10% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260744 5.17754 +- 0.0589361 4.51277 +- 0.0465409 4.76954 +- 0.0564927

0.326445 4.85312 +- 0.0428824 4.32554 +- 0.0364709 4.10771 +- 0.0399083

0.415614 4.43351 +- 0.0546445 3.87709 +- 0.045747 3.46908 +- 0.0458615

0.522011 3.98005 +- 0.0662794 3.66356 +- 0.059209 2.88446 +- 0.0538087

7 GeV 10-20% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260614 4.8969 +- 0.0456905 4.18866 +- 0.034073 4.52079 +- 0.0426159

0.326329 4.52428 +- 0.0317348 3.90644 +- 0.0264014 3.87808 +- 0.0292997

0.415566 4.10939 +- 0.0406664 3.62522 +- 0.0343595 3.191 +- 0.0350529

0.521997 3.67226 +- 0.0515179 3.30174 +- 0.0433925 2.69761 +- 0.0400045

7 GeV 20-30% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260496 4.41981 +- 0.0508988 3.79047 +- 0.0376951 4.16821 +- 0.0485509

0.326179 4.16857 +- 0.0372046 3.50191 +- 0.0300661 3.51568 +- 0.0346993

0.415476 3.74217 +- 0.0480467 3.21622 +- 0.0408591 2.93381 +- 0.042385

0.521857 3.47308 +- 0.0613782 3.07176 +- 0.0527565 2.4676 +- 0.0487349

7 GeV 30-40% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260389 3.96082 +- 0.0593778 3.35866 +- 0.0427416 3.70763 +- 0.0557103

0.326059 3.76562 +- 0.0417431 3.17249 +- 0.0339668 3.23677 +- 0.0401823

0.415383 3.4128 +- 0.0569449 3.01216 +- 0.0477499 2.64593 +- 0.048483

0.521721 3.10642 +- 0.0689759 2.89124 +- 0.0611697 2.37091 +- 0.0550662

7 GeV 40-50% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260316 3.52677 +- 0.0758981 3.01275 +- 0.0525973 3.36785 +- 0.0686502

0.325916 3.39377 +- 0.0533752 2.80278 +- 0.0427254 2.8864 +- 0.0494708

0.415319 3.09517 +- 0.0716007 2.74631 +- 0.0593552 2.51626 +- 0.0615624

0.521455 2.79819 +- 0.095867 2.68048 +- 0.0809718 1.9553 +- 0.0706231

7 GeV 50-60% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.26025 3.41391 +- 0.110608 2.72484 +- 0.0699299 3.27857 +- 0.100168

0.325818 2.92041 +- 0.0681324 2.44022 +- 0.0540036 2.38068 +- 0.05983

0.415294 2.76114 +- 0.0995 2.42485 +- 0.0790753 2.06277 +- 0.0814392

0.521408 2.42989 +- 0.172613 2.73047 +- 0.165911 1.62464 +- 0.141358

11.5 GeV 0-5% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.261515 5.67653 +- 0.031055 4.78635 +- 0.0231944 5.42759 +- 0.0301093

0.327164 5.23898 +- 0.021273 4.47437 +- 0.017118 4.63496 +- 0.0196736

0.415994 4.70699 +- 0.0267413 4.15953 +- 0.0219757 3.92191 +- 0.0232791

0.522246 4.26399 +- 0.032387 3.84141 +- 0.0268464 3.35687 +- 0.027643

11.5 GeV 5-10% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.26136 5.30505 +- 0.0330938 4.52837 +- 0.0247571 5.19753 +- 0.0343116

0.327036 4.98622 +- 0.0227196 4.21488 +- 0.0182856 4.47358 +- 0.0218405

0.415956 4.46697 +- 0.0291937 3.87258 +- 0.0240697 3.79193 +- 0.0265013

0.52227 4.03093 +- 0.0352827 3.65355 +- 0.0304348 3.16522 +- 0.0301673

11.5 GeV 10-20% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.261221 4.95076 +- 0.0252313 4.16168 +- 0.0185679 4.87334 +- 0.0249214

0.326887 4.61018 +- 0.0172336 3.93869 +- 0.0143094 4.19879 +- 0.0171122

0.415896 4.20745 +- 0.0220892 3.64419 +- 0.0181972 3.50994 +- 0.0207083

0.522255 3.82723 +- 0.0266842 3.39264 +- 0.0220797 3.03051 +- 0.0220263

11.5 GeV 20-30% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.261068 4.49004 +- 0.0287062 3.78551 +- 0.0204632 4.44522 +- 0.0280714

0.326711 4.19894 +- 0.0199237 3.52722 +- 0.0162421 3.7532 +- 0.0193181

0.415795 3.82919 +- 0.0249066 3.28559 +- 0.0207272 3.23156 +- 0.0227616

0.52217 3.44809 +- 0.0317285 3.04785 +- 0.0263437 2.70346 +- 0.0267146

11.5 GeV 30-40% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260936 4.00652 +- 0.0333286 3.35599 +- 0.0231103 4.01125 +- 0.0323834

0.326548 3.79124 +- 0.0233115 3.22126 +- 0.0194145 3.41551 +- 0.023551

0.415703 3.49533 +- 0.0303455 2.97691 +- 0.0248637 2.89071 +- 0.0276563

0.522008 3.17322 +- 0.0370276 2.78247 +- 0.0306551 2.43994 +- 0.031111

11.5 GeV 40-50% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260858 3.58004 +- 0.0401329 2.96333 +- 0.0272543 3.64934 +- 0.0400335

0.326396 3.47622 +- 0.0283952 2.86008 +- 0.0225408 3.08102 +- 0.0277512

0.415572 3.18846 +- 0.0366495 2.61146 +- 0.0300491 2.53892 +- 0.0335807

0.521771 2.9854 +- 0.0494631 2.51163 +- 0.0410725 2.20491 +- 0.0393691

11.5 GeV 50-60% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260782 3.23721 +- 0.0542012 2.59468 +- 0.0347239 3.27295 +- 0.0547751

0.326271 3.04139 +- 0.0362684 2.46379 +- 0.0281901 2.74316 +- 0.036156

0.415473 2.90168 +- 0.0509273 2.31016 +- 0.0393052 2.36963 +- 0.046829

0.521544 2.55568 +- 0.0661306 2.24829 +- 0.0559046 1.91929 +- 0.0551033

19.6 GeV 0-5% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259659 5.84087 +- 0.0195966 4.83625 +- 0.0150974 5.7974 +- 0.0196311

0.326347 5.37106 +- 0.0148756 4.5331 +- 0.0125819 4.97864 +- 0.0153343

0.416095 4.79477 +- 0.0186787 4.23409 +- 0.0151165 4.23506 +- 0.0167063

0.523699 4.31619 +- 0.0226372 3.87759 +- 0.0189522 3.57462 +- 0.0197918

19.6 GeV 5-10% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259491 5.45255 +- 0.0213813 4.5719 +- 0.0156818 5.52101 +- 0.0216258

0.326215 5.07053 +- 0.0162963 4.27373 +- 0.0138457 4.75479 +- 0.0161368

0.416067 4.54586 +- 0.0209061 4.00397 +- 0.0174162 4.01172 +- 0.0193989

0.523784 4.10696 +- 0.0248342 3.69064 +- 0.0203692 3.42746 +- 0.0213767

19.6 GeV 10-20% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.25933 5.07215 +- 0.0166367 4.24965 +- 0.0122515 5.19521 +- 0.0174068

0.326069 4.70162 +- 0.0120755 3.98241 +- 0.00982156 4.43703 +- 0.0121614

0.416013 4.24411 +- 0.0155592 3.73007 +- 0.0129996 3.76785 +- 0.0147367

0.523846 3.81595 +- 0.0183742 3.43746 +- 0.0151234 3.21584 +- 0.0159047

19.6 GeV 20-30% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259161 4.56516 +- 0.0188045 3.81836 +- 0.0135812 4.6873 +- 0.0196429

0.325885 4.26748 +- 0.0136939 3.59575 +- 0.0116497 4.02044 +- 0.0146235

0.415924 3.87451 +- 0.0175341 3.36289 +- 0.0145794 3.38523 +- 0.0165197

0.523838 3.45468 +- 0.0207569 3.13035 +- 0.0176817 2.85863 +- 0.018152

19.6 GeV 30-40% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259014 4.10758 +- 0.02129 3.41702 +- 0.0148072 4.22129 +- 0.0218179

0.325706 3.85988 +- 0.0165087 3.23748 +- 0.0133205 3.58515 +- 0.0169053

0.415809 3.54969 +- 0.0212434 3.0574 +- 0.0176292 3.06264 +- 0.0200923

0.523741 3.18834 +- 0.025922 2.86271 +- 0.0220463 2.6166 +- 0.0230791

19.6 GeV 40-50% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.258904 3.65847 +- 0.0259861 3.01695 +- 0.0175561 3.80774 +- 0.0261902

0.325534 3.47053 +- 0.019714 2.8443 +- 0.0162801 3.21409 +- 0.0209591

0.415682 3.18671 +- 0.0266586 2.70468 +- 0.0217686 2.73736 +- 0.02519

0.523561 2.88448 +- 0.03156 2.58156 +- 0.0276102 2.29856 +- 0.027142

19.6 GeV 50-60% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.258824 3.25427 +- 0.0347945 2.61795 +- 0.0225604 3.35109 +- 0.0350784

0.325385 3.10913 +- 0.0264288 2.56404 +- 0.0214569 2.80079 +- 0.0265297

0.415524 2.94054 +- 0.0366862 2.42225 +- 0.0296916 2.43778 +- 0.0332895

0.523332 2.59976 +- 0.0438102 2.39815 +- 0.0392913 2.12795 +- 0.0396518

19.6 GeV 60-70% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.258768 2.87327 +- 0.0517564 2.30078 +- 0.0323298 2.947 +- 0.0492725

0.325313 2.78043 +- 0.0384365 2.19342 +- 0.0297554 2.47764 +- 0.0380653

0.415435 2.62414 +- 0.053349 2.07487 +- 0.0413305 2.1224 +- 0.0466413

0.523133 2.23642 +- 0.0731281 2.00803 +- 0.060413 1.82494 +- 0.0638663

27 GeV 0-5% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259854 5.81768 +- 0.0139355 4.89072 +- 0.0103016 5.98991 +- 0.0143081

0.326576 5.38982 +- 0.0106266 4.57868 +- 0.0086146 5.12317 +- 0.0106064

0.416243 4.83173 +- 0.0130918 4.27431 +- 0.0105959 4.37769 +- 0.0120139

0.523904 4.29655 +- 0.0153779 3.93483 +- 0.0124853 3.71914 +- 0.0132135

27 GeV 5-10% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259667 5.49272 +- 0.014779 4.63358 +- 0.0109645 5.7064 +- 0.015312

0.326432 5.10953 +- 0.0111871 4.34202 +- 0.00900423 4.90775 +- 0.0112179

0.416205 4.60469 +- 0.0139839 4.0318 +- 0.0113845 4.17223 +- 0.0130061

0.524004 4.14491 +- 0.0165649 3.72106 +- 0.0140381 3.52684 +- 0.0150045

27 GeV 10-20% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.25949 5.12114 +- 0.0111061 4.30681 +- 0.00875764 5.33973 +- 0.0121776

0.326274 4.75145 +- 0.00887297 4.03785 +- 0.00732234 4.53085 +- 0.00922277

0.416147 4.27355 +- 0.0105084 3.78864 +- 0.00876977 3.89221 +- 0.0100178

0.52407 3.84455 +- 0.0124763 3.53163 +- 0.0105887 3.31489 +- 0.0112304

27 GeV 20-30% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259299 4.62445 +- 0.012523 3.87794 +- 0.00898145 4.84479 +- 0.0129687

0.326074 4.31548 +- 0.00958039 3.65602 +- 0.00787974 4.11507 +- 0.0098974

0.416052 3.89139 +- 0.0118847 3.43166 +- 0.0100268 3.49505 +- 0.0114924

0.524068 3.49916 +- 0.0142287 3.17717 +- 0.0122046 2.99546 +- 0.0129216

27 GeV 30-40% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259143 4.14521 +- 0.0144736 3.46513 +- 0.0101008 4.36538 +- 0.0148559

0.32588 3.93581 +- 0.0109624 3.27199 +- 0.00887473 3.70226 +- 0.0113778

0.415933 3.53309 +- 0.013859 3.09522 +- 0.0117171 3.17602 +- 0.0135423

0.523975 3.19537 +- 0.0170991 2.89013 +- 0.0143741 2.64205 +- 0.0149634

27 GeV 40-50% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259017 3.70779 +- 0.0175296 3.07605 +- 0.0119653 3.90178 +- 0.0185455

0.32569 3.55191 +- 0.0133662 2.91885 +- 0.0106892 3.31225 +- 0.0138767

0.415784 3.237 +- 0.0175111 2.78938 +- 0.0151138 2.7881 +- 0.0166299

0.523792 2.91903 +- 0.0214058 2.61003 +- 0.0181994 2.37922 +- 0.019154

27 GeV 50-60% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.258921 3.28471 +- 0.0236889 2.66894 +- 0.0152988 3.43127 +- 0.0238354

0.325519 3.19489 +- 0.0177089 2.56295 +- 0.0138754 2.93447 +- 0.0183374

0.415627 2.89719 +- 0.0237789 2.46675 +- 0.0194712 2.47352 +- 0.0222695

0.523505 2.70085 +- 0.0306056 2.34611 +- 0.0251815 2.14312 +- 0.0262655

27 GeV 60-70% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.258875 2.84314 +- 0.0320716 2.33063 +- 0.0208117 2.98022 +- 0.0314177

0.325389 2.82147 +- 0.024114 2.22859 +- 0.0188877 2.56569 +- 0.024533

0.415506 2.54447 +- 0.0331703 2.13665 +- 0.0270283 2.10983 +- 0.030288

0.523265 2.40222 +- 0.0460855 2.05775 +- 0.0380158 1.86883 +- 0.038043

39 GeV 0-5% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260841 5.8604 +- 0.0273256 4.96732 +- 0.0222764 6.18026 +- 0.0313941

0.32734 5.4024 +- 0.0196522 4.65527 +- 0.0158752 5.24162 +- 0.0194921

0.416555 4.83368 +- 0.0237319 4.33585 +- 0.0193301 4.5042 +- 0.022003

0.523792 4.31853 +- 0.0279768 3.94916 +- 0.0228475 3.87035 +- 0.0250719

39 GeV 5-10% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260617 5.63372 +- 0.031006 4.71111 +- 0.0236693 5.83472 +- 0.033029

0.327165 5.1168 +- 0.0209145 4.41774 +- 0.0170911 4.97745 +- 0.0212067

0.416502 4.56558 +- 0.0252246 4.11005 +- 0.0210543 4.29693 +- 0.0243921

0.523873 4.09722 +- 0.029622 3.78741 +- 0.024654 3.67455 +- 0.0264638

39 GeV 10-20% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260393 5.14655 +- 0.0222986 4.33038 +- 0.0163536 5.47098 +- 0.0237557

0.326974 4.76617 +- 0.0162011 4.07767 +- 0.012727 4.66576 +- 0.0170407

0.416441 4.27192 +- 0.0188755 3.80303 +- 0.015758 3.99081 +- 0.018248

0.523911 3.77358 +- 0.0218189 3.55414 +- 0.018796 3.32949 +- 0.0199323

39 GeV 20-30% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260135 4.66128 +- 0.0245904 3.92706 +- 0.0178399 4.95111 +- 0.0256279

0.326733 4.32551 +- 0.0175413 3.69889 +- 0.0143863 4.2289 +- 0.0182437

0.416335 3.87638 +- 0.0216264 3.46818 +- 0.0188289 3.59722 +- 0.0207149

0.523889 3.48175 +- 0.0251944 3.23142 +- 0.021951 2.99482 +- 0.0226364

39 GeV 30-40% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259928 4.22625 +- 0.0284145 3.53 +- 0.020181 4.5077 +- 0.0300795

0.326508 3.89714 +- 0.0209454 3.30578 +- 0.0169742 3.78908 +- 0.0219241

0.416196 3.49677 +- 0.025955 3.11631 +- 0.0220373 3.17682 +- 0.0257103

0.523769 3.18152 +- 0.0295391 2.95223 +- 0.0260704 2.78589 +- 0.0279008

39 GeV 40-50% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259752 3.66168 +- 0.0340557 3.0875 +- 0.0238628 3.89465 +- 0.0350349

0.326304 3.5715 +- 0.0253457 2.97835 +- 0.0205259 3.37932 +- 0.0267894

0.416055 3.27561 +- 0.0328478 2.8003 +- 0.0271074 2.90106 +- 0.0315674

0.523507 2.90162 +- 0.039591 2.60762 +- 0.0339296 2.38044 +- 0.0350734

39 GeV 50-60% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259631 3.25335 +- 0.0425686 2.72062 +- 0.0292053 3.50558 +- 0.0436514

0.326076 3.14859 +- 0.0315154 2.59898 +- 0.0251174 2.94044 +- 0.0333042

0.415889 2.9388 +- 0.0432331 2.47524 +- 0.0344389 2.54392 +- 0.0401729

0.523176 2.65396 +- 0.0552666 2.33702 +- 0.045902 2.14108 +- 0.0474817

39 GeV 60-70% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.259563 2.9656 +- 0.0675945 2.35157 +- 0.0411456 3.18668 +- 0.0675006

0.32591 2.89456 +- 0.0472284 2.30099 +- 0.0370516 2.55979 +- 0.0457344

0.415706 2.6003 +- 0.0657752 2.15134 +- 0.0515154 2.29515 +- 0.0600945

0.522974 2.54508 +- 0.0986471 1.99484 +- 0.0712242 1.95102 +- 0.0808518

62.4 GeV 0-5% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.261745 5.91412 +- 0.0247705 5.00157 +- 0.0184487 6.32953 +- 0.0263163

0.327724 5.42166 +- 0.0165795 4.72557 +- 0.0134692 5.40931 +- 0.0169408

0.416682 4.8249 +- 0.0198033 4.37765 +- 0.0172671 4.69021 +- 0.020412

0.524283 4.31668 +- 0.0230453 4.04731 +- 0.0187121 3.96587 +- 0.0215229

62.4 GeV 5-10% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.261517 5.59594 +- 0.0267199 4.7904 +- 0.02053 6.02125 +- 0.0290289

0.327531 5.14302 +- 0.0173266 4.47027 +- 0.0150923 5.14906 +- 0.0191331

0.416632 4.61095 +- 0.0210851 4.15202 +- 0.0174233 4.41898 +- 0.0203332

0.524368 4.08088 +- 0.024266 3.86683 +- 0.0205124 3.79352 +- 0.0224061

62.4 GeV 10-20% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.261279 5.20276 +- 0.0188713 4.41286 +- 0.0140479 5.58627 +- 0.0200169

0.327324 4.77877 +- 0.0129466 4.13841 +- 0.0106835 4.77729 +- 0.0142292

0.416556 4.27323 +- 0.0157852 3.86181 +- 0.0134078 4.08336 +- 0.0156914

0.524443 3.81557 +- 0.0180931 3.56809 +- 0.0155207 3.47307 +- 0.0167068

62.4 GeV 20-30% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.261012 4.6266 +- 0.0208907 3.94326 +- 0.0153922 5.01238 +- 0.0230405

0.327068 4.31241 +- 0.014377 3.75225 +- 0.0126832 4.34198 +- 0.016073

0.416444 3.87742 +- 0.0177538 3.49976 +- 0.0152682 3.67743 +- 0.0173514

0.524435 3.49079 +- 0.0203095 3.26015 +- 0.0175866 3.15168 +- 0.0190413

62.4 GeV 30-40% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260796 4.18303 +- 0.0241699 3.57027 +- 0.0174071 4.5067 +- 0.0253977

0.326826 3.87963 +- 0.0169739 3.33098 +- 0.0143378 3.87823 +- 0.0184471

0.416303 3.53963 +- 0.0209714 3.18412 +- 0.0183723 3.28525 +- 0.0206938

0.524347 3.20657 +- 0.0244439 2.96537 +- 0.0218278 2.86876 +- 0.0232456

62.4 GeV 40-50% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260611 3.74617 +- 0.029317 3.15278 +- 0.0200158 4.01853 +- 0.0299963

0.326579 3.55947 +- 0.0208278 2.96409 +- 0.0170759 3.47651 +- 0.0221802

0.416138 3.19839 +- 0.0258152 2.83773 +- 0.0226568 2.97087 +- 0.0260447

0.524131 2.87135 +- 0.0306389 2.67498 +- 0.0276406 2.56324 +- 0.0291519

62.4 GeV 50-60% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260446 3.22503 +- 0.0365564 2.75148 +- 0.0244526 3.56581 +- 0.0376596

0.326349 3.15649 +- 0.0257793 2.63052 +- 0.0211982 3.08186 +- 0.0274285

0.415975 2.87463 +- 0.0342235 2.48594 +- 0.0286817 2.61682 +- 0.0337486

0.523857 2.65625 +- 0.0436156 2.41339 +- 0.0377442 2.21248 +- 0.0384252

62.4 GeV 60-70% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260305 2.84162 +- 0.056392 2.34726 +- 0.036294 3.17569 +- 0.0568774

0.326127 2.75088 +- 0.0388143 2.21974 +- 0.0306664 2.55812 +- 0.0380172

0.415756 2.59394 +- 0.0540033 2.13763 +- 0.0423097 2.32431 +- 0.0506763

0.523444 2.28003 +- 0.0701441 2.06313 +- 0.0581484 2.03495 +- 0.067208

200 GeV 0-5% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.262197 5.88623 +- 0.0235863 5.20713 +- 0.0186668 6.64397 +- 0.0267233

0.328421 5.36104 +- 0.0156105 4.9248 +- 0.013728 5.80251 +- 0.0160585

0.417164 4.68839 +- 0.0166256 4.532 +- 0.0152585 4.96302 +- 0.0181593

0.524964 4.13888 +- 0.0191299 4.15774 +- 0.0155588 4.34703 +- 0.0178103

200 GeV 5-10% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.261902 5.62342 +- 0.0225075 4.93469 +- 0.0185243 6.30332 +- 0.0261458

0.328167 5.12386 +- 0.0146684 4.66952 +- 0.0124062 5.48477 +- 0.015864

0.417082 4.50129 +- 0.0168094 4.34595 +- 0.0145618 4.72166 +- 0.0172435

0.525045 3.99388 +- 0.0188995 3.97151 +- 0.0165696 4.06245 +- 0.0183965

200 GeV 10-20% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.261589 5.19246 +- 0.0162752 4.60779 +- 0.0125847 5.84876 +- 0.0177964

0.327888 4.7173 +- 0.0108589 4.30443 +- 0.00925802 5.04122 +- 0.0117965

0.41699 4.21355 +- 0.0126066 4.03165 +- 0.0110111 4.36922 +- 0.0129835

0.525108 3.7131 +- 0.014325 3.72077 +- 0.0130999 3.74956 +- 0.0145198

200 GeV 20-30% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.261225 4.70398 +- 0.0184947 4.12645 +- 0.0142614 5.33634 +- 0.0195327

0.327544 4.29394 +- 0.012548 3.90416 +- 0.0111244 4.57213 +- 0.0140871

0.416849 3.84329 +- 0.0142582 3.68447 +- 0.0129176 3.95305 +- 0.0150233

0.525124 3.43377 +- 0.0158074 3.41898 +- 0.0143846 3.38169 +- 0.0157312

200 GeV 30-40% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260913 4.21394 +- 0.0204706 3.71263 +- 0.0154815 4.82185 +- 0.0224088

0.327235 3.88334 +- 0.0137939 3.51214 +- 0.011951 4.12271 +- 0.0151745

0.416687 3.50813 +- 0.0165987 3.30994 +- 0.0150637 3.58624 +- 0.0177424

0.52502 3.1131 +- 0.018784 3.0682 +- 0.0168027 3.05169 +- 0.018657

200 GeV 40-50% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260668 3.70253 +- 0.0240613 3.33144 +- 0.0180874 4.24751 +- 0.0263728

0.326933 3.51296 +- 0.0171409 3.13365 +- 0.0147462 3.69035 +- 0.0191102

0.416489 3.182 +- 0.0207569 2.95681 +- 0.0187499 3.16164 +- 0.0218543

0.524838 2.84123 +- 0.0242235 2.7728 +- 0.0223969 2.74526 +- 0.0244257

200 GeV 50-60% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260449 3.30257 +- 0.0315334 2.83294 +- 0.0219842 3.73484 +- 0.0327558

0.32665 3.16631 +- 0.0213909 2.76408 +- 0.0182585 3.29443 +- 0.0238939

0.416301 2.91422 +- 0.0281201 2.63774 +- 0.0244818 2.84197 +- 0.0294031

0.524564 2.61863 +- 0.0341701 2.46021 +- 0.0308047 2.42336 +- 0.032979

200GeV: +- centralitybin +- =7 +-

200 GeV 60-70% centrality

m_T (GeV/c) R_out (fm) R_side (fm) R_long (fm)

0.260269 2.99089 +- 0.0466689 2.50067 +- 0.0304672 3.38263 +- 0.0475906

0.326368 2.81962 +- 0.0321483 2.45742 +- 0.0262849 2.87415 +- 0.0343839

0.416072 2.60438 +- 0.0430074 2.34398 +- 0.0374033 2.46197 +- 0.0425756

0.524177 2.29887 +- 0.0555543 2.15061 +- 0.0479052 2.0557 +- 0.0499911

Figure 9 - Multiplicity dependence of radii

eps | pdf | png

STAR 7 GeV, Au+Au k_T~0.22 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

5.91025 5.56851 +- 0.0568528 4.93449 +- 0.0434895 5.01443 +- 0.0507727

5.52149 5.17754 +- 0.0589361 4.51277 +- 0.0465409 4.76954 +- 0.0564927

5.03949 4.8969 +- 0.0456905 4.18866 +- 0.034073 4.52079 +- 0.0426159

4.44087 4.41981 +- 0.0508988 3.79047 +- 0.0376951 4.16821 +- 0.0485509

3.86582 3.96082 +- 0.0593778 3.35866 +- 0.0427416 3.70763 +- 0.0557103

3.30077 3.52677 +- 0.0758981 3.01275 +- 0.0525973 3.36785 +- 0.0686502

2.763 3.41391 +- 0.110608 2.72484 +- 0.0699299 3.27857 +- 0.100168

STAR 11.5 GeV, Au+Au k_T~0.22 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

6.2576 5.67653 +- 0.031055 4.78635 +- 0.0231944 5.42759 +- 0.0301093

5.84671 5.30505 +- 0.0330938 4.52837 +- 0.0247571 5.19753 +- 0.0343116

5.33979 4.95076 +- 0.0252313 4.16168 +- 0.0185679 4.87334 +- 0.0249214

4.70594 4.49004 +- 0.0287062 3.78551 +- 0.0204632 4.44522 +- 0.0280714

4.10622 4.00652 +- 0.0333286 3.35599 +- 0.0231103 4.01125 +- 0.0323834

3.51788 3.58004 +- 0.0401329 2.96333 +- 0.0272543 3.64934 +- 0.0400335

2.93532 3.23721 +- 0.0542012 2.59468 +- 0.0347239 3.27295 +- 0.0547751

2.38484 2.85976 +- 0.0856859 2.35861 +- 0.0538057 2.95121 +- 0.0827804

STAR 19.6 GeV, Au+Au k_T~0.22 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

6.65175 5.84087 +- 0.0195966 4.83625 +- 0.0150974 5.7974 +- 0.0196311

6.22019 5.45255 +- 0.0213813 4.5719 +- 0.0156818 5.52101 +- 0.0216258

5.6864 5.07215 +- 0.0166367 4.24965 +- 0.0122515 5.19521 +- 0.0174068

5.0059 4.56516 +- 0.0188045 3.81836 +- 0.0135812 4.6873 +- 0.0196429

4.35697 4.10758 +- 0.02129 3.41702 +- 0.0148072 4.22129 +- 0.0218179

3.7285 3.65847 +- 0.0259861 3.01695 +- 0.0175561 3.80774 +- 0.0261902

3.12419 3.25427 +- 0.0347945 2.61795 +- 0.0225604 3.35109 +- 0.0350784

2.55121 2.87327 +- 0.0517564 2.30078 +- 0.0323298 2.947 +- 0.0492725

STAR 27 GeV, Au+Au k_T~0.22 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

6.84025 5.81768 +- 0.0139355 4.89072 +- 0.0103016 5.98991 +- 0.0143081

6.41111 5.49272 +- 0.014779 4.63358 +- 0.0109645 5.7064 +- 0.015312

5.86996 5.12114 +- 0.0111061 4.30681 +- 0.00875764 5.33973 +- 0.0121776

5.18445 4.62445 +- 0.012523 3.87794 +- 0.00898145 4.84479 +- 0.0129687

4.52407 4.14521 +- 0.0144736 3.46513 +- 0.0101008 4.36538 +- 0.0148559

3.87613 3.70779 +- 0.0175296 3.07605 +- 0.0119653 3.90178 +- 0.0185455

3.25298 3.28471 +- 0.0236889 2.66894 +- 0.0152988 3.43127 +- 0.0238354

2.64362 2.84314 +- 0.0320716 2.33063 +- 0.0208117 2.98022 +- 0.0314177

STAR 39 GeV, Au+Au k_T~0.22 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

7.05353 5.8604 +- 0.0273256 4.96732 +- 0.0222764 6.18026 +- 0.0313941

6.6135 5.63372 +- 0.031006 4.71111 +- 0.0236693 5.83472 +- 0.033029

6.05962 5.14655 +- 0.0222986 4.33038 +- 0.0163536 5.47098 +- 0.0237557

5.35025 4.66128 +- 0.0245904 3.92706 +- 0.0178399 4.95111 +- 0.0256279

4.66358 4.22625 +- 0.0284145 3.53 +- 0.020181 4.5077 +- 0.0300795

4.00317 3.66168 +- 0.0340557 3.0875 +- 0.0238628 3.89465 +- 0.0350349

3.35485 3.25335 +- 0.0425686 2.72062 +- 0.0292053 3.50558 +- 0.0436514

2.7373 2.9656 +- 0.0675945 2.35157 +- 0.0411456 3.18668 +- 0.0675006

STAR 62.4 GeV, Au+Au k_T~0.22 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

7.20916 5.91412 +- 0.0247705 5.00157 +- 0.0184487 6.32953 +- 0.0263163

6.77464 5.59594 +- 0.0267199 4.7904 +- 0.02053 6.02125 +- 0.0290289

6.21034 5.20276 +- 0.0188713 4.41286 +- 0.0140479 5.58627 +- 0.0200169

5.4865 4.6266 +- 0.0208907 3.94326 +- 0.0153922 5.01238 +- 0.0230405

4.79045 4.18303 +- 0.0241699 3.57027 +- 0.0174071 4.5067 +- 0.0253977

4.11338 3.74617 +- 0.029317 3.15278 +- 0.0200158 4.01853 +- 0.0299963

3.43966 3.22503 +- 0.0365564 2.75148 +- 0.0244526 3.56581 +- 0.0376596

2.80084 2.84162 +- 0.056392 2.34726 +- 0.036294 3.17569 +- 0.0568774

STAR 200 GeV, Au+Au k_T~0.22 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

7.77437 5.88623 +- 0.0235863 5.20713 +- 0.0186668 6.64397 +- 0.0267233

7.34792 5.62342 +- 0.0225075 4.93469 +- 0.0185243 6.30332 +- 0.0261458

6.76794 5.19246 +- 0.0162752 4.60779 +- 0.0125847 5.84876 +- 0.0177964

6.0039 4.70398 +- 0.0184947 4.12645 +- 0.0142614 5.33634 +- 0.0195327

5.2443 4.21394 +- 0.0204706 3.71263 +- 0.0154815 4.82185 +- 0.0224088

4.49718 3.70253 +- 0.0240613 3.33144 +- 0.0180874 4.24751 +- 0.0263728

3.76876 3.30257 +- 0.0315334 2.83294 +- 0.0219842 3.73484 +- 0.0327558

3.06327 2.99089 +- 0.0466689 2.50067 +- 0.0304672 3.38263 +- 0.0475906

STAR 7.7 GeV, Au+Au k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

5.91025 5.56851 +- 0.0568528 4.05423 +- 0.0423567 3.64874 +- 0.0412629

5.52149 5.17754 +- 0.0589361 3.87709 +- 0.045747 3.46908 +- 0.0458615

5.03949 4.8969 +- 0.0456905 3.62522 +- 0.0343595 3.191 +- 0.0350529

4.44087 4.41981 +- 0.0508988 3.21622 +- 0.0408591 2.93381 +- 0.042385

3.86582 3.96082 +- 0.0593778 3.01216 +- 0.0477499 2.64593 +- 0.048483

3.30077 3.52677 +- 0.0758981 2.74631 +- 0.0593552 2.51626 +- 0.0615624

2.763 3.41391 +- 0.110608 2.42485 +- 0.0790753 2.06277 +- 0.0814392

2.23607 -99999 +- 0 -99999 +- 0 -99999 +- 0

STAR 11.5 GeV, Au+Au k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

6.2576 5.67653 +- 0.031055 4.15953 +- 0.0219757 3.92191 +- 0.0232791

5.84671 5.30505 +- 0.0330938 3.87258 +- 0.0240697 3.79193 +- 0.0265013

5.33979 4.95076 +- 0.0252313 3.64419 +- 0.0181972 3.50994 +- 0.0207083

4.70594 4.49004 +- 0.0287062 3.28559 +- 0.0207272 3.23156 +- 0.0227616

4.10622 4.00652 +- 0.0333286 2.97691 +- 0.0248637 2.89071 +- 0.0276563

3.51788 3.58004 +- 0.0401329 2.61146 +- 0.0300491 2.53892 +- 0.0335807

2.93532 3.23721 +- 0.0542012 2.31016 +- 0.0393052 2.36963 +- 0.046829

2.38484 2.85976 +- 0.0856859 2.0502 +- 0.0607177 1.92399 +- 0.0624203

STAR 19.6 GeV, Au+Au k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

6.65175 5.84087 +- 0.0195966 4.23409 +- 0.0151165 4.23506 +- 0.0167063

6.22019 5.45255 +- 0.0213813 4.00397 +- 0.0174162 4.01172 +- 0.0193989

5.6864 5.07215 +- 0.0166367 3.73007 +- 0.0129996 3.76785 +- 0.0147367

5.0059 4.56516 +- 0.0188045 3.36289 +- 0.0145794 3.38523 +- 0.0165197

4.35697 4.10758 +- 0.02129 3.0574 +- 0.0176292 3.06264 +- 0.0200923

3.7285 3.65847 +- 0.0259861 2.70468 +- 0.0217686 2.73736 +- 0.02519

3.12419 3.25427 +- 0.0347945 2.42225 +- 0.0296916 2.43778 +- 0.0332895

2.55121 2.87327 +- 0.0517564 2.07487 +- 0.0413305 2.1224 +- 0.0466413

STAR 27 GeV, Au+Au k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

6.84025 5.81768 +- 0.0139355 4.27431 +- 0.0105959 4.37769 +- 0.0120139

6.41111 5.49272 +- 0.014779 4.0318 +- 0.0113845 4.17223 +- 0.0130061

5.86996 5.12114 +- 0.0111061 3.78864 +- 0.00876977 3.89221 +- 0.0100178

5.18445 4.62445 +- 0.012523 3.43166 +- 0.0100268 3.49505 +- 0.0114924

4.52407 4.14521 +- 0.0144736 3.09522 +- 0.0117171 3.17602 +- 0.0135423

3.87613 3.70779 +- 0.0175296 2.78938 +- 0.0151138 2.7881 +- 0.0166299

3.25298 3.28471 +- 0.0236889 2.46675 +- 0.0194712 2.47352 +- 0.0222695

2.64362 2.84314 +- 0.0320716 2.13665 +- 0.0270283 2.10983 +- 0.030288

STAR 39 GeV, Au+Au k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

7.05353 5.8604 +- 0.0273256 4.33585 +- 0.0193301 4.5042 +- 0.022003

6.6135 5.63372 +- 0.031006 4.11005 +- 0.0210543 4.29693 +- 0.0243921

6.05962 5.14655 +- 0.0222986 3.80303 +- 0.015758 3.99081 +- 0.018248

5.35025 4.66128 +- 0.0245904 3.46818 +- 0.0188289 3.59722 +- 0.0207149

4.66358 4.22625 +- 0.0284145 3.11631 +- 0.0220373 3.17682 +- 0.0257103

4.00317 3.66168 +- 0.0340557 2.8003 +- 0.0271074 2.90106 +- 0.0315674

3.35485 3.25335 +- 0.0425686 2.47524 +- 0.0344389 2.54392 +- 0.0401729

2.7373 2.9656 +- 0.0675945 2.15134 +- 0.0515154 2.29515 +- 0.0600945

STAR 62.4 GeV, Au+Au k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

7.20916 5.91412 +- 0.0247705 4.37765 +- 0.0172671 4.69021 +- 0.020412

6.77464 5.59594 +- 0.0267199 4.15202 +- 0.0174233 4.41898 +- 0.0203332

6.21034 5.20276 +- 0.0188713 3.86181 +- 0.0134078 4.08336 +- 0.0156914

5.4865 4.6266 +- 0.0208907 3.49976 +- 0.0152682 3.67743 +- 0.0173514

4.79045 4.18303 +- 0.0241699 3.18412 +- 0.0183723 3.28525 +- 0.0206938

4.11338 3.74617 +- 0.029317 2.83773 +- 0.0226568 2.97087 +- 0.0260447

3.43966 3.22503 +- 0.0365564 2.48594 +- 0.0286817 2.61682 +- 0.0337486

2.80084 2.84162 +- 0.056392 2.13763 +- 0.0423097 2.32431 +- 0.0506763

STAR 200 GeV, Au+Au k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

7.77437 5.88623 +- 0.0235863 4.532 +- 0.0152585 4.96302 +- 0.0181593

7.34792 5.62342 +- 0.0225075 4.34595 +- 0.0145618 4.72166 +- 0.0172435

6.76794 5.19246 +- 0.0162752 4.03165 +- 0.0110111 4.36922 +- 0.0129835

6.0039 4.70398 +- 0.0184947 3.68447 +- 0.0129176 3.95305 +- 0.0150233

5.2443 4.21394 +- 0.0204706 3.30994 +- 0.0150637 3.58624 +- 0.0177424

4.49718 3.70253 +- 0.0240613 2.95681 +- 0.0187499 3.16164 +- 0.0218543

3.76876 3.30257 +- 0.0315334 2.63774 +- 0.0244818 2.84197 +- 0.0294031

3.06327 2.99089 +- 0.0466689 2.34398 +- 0.0374033 2.46197 +- 0.0425756

E802 4.8 GeV, Au+Au k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

3.53569 4.66 +- 0.26 3 +- 0.33 2.62 +- 0.23

5.15263 5.35 +- 0.33 3.84 +- 0.46 3.25 +- 0.32

5.19743 5.6 +- 0.43 3.79 +- 0.45 3.92 +- 0.37

E802 5.4 GeV, Si+Al k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

1.35721 2.61 +- 0.13 1.05 +- 0.31 1.76 +- 0.17

1.7967 3.21 +- 0.18 1.63 +- 0.43 2.25 +- 0.22

E802 5.4 GeV, Si+Au k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

1.87578 3.43 +- 0.18 2.12 +- 0.3 2.29 +- 0.21

2.31459 3.34 +- 0.17 2.3 +- 0.24 2.96 +- 0.23

3.03659 3.89 +- 0.13 2.65 +- 0.18 2.82 +- 0.14

3.03659 3.97 +- 0.28 2.56 +- 0.39 2.57 +- 0.27

CERES 17.3 GeV, Pb+Au k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

5.03968 3.999 +- 0.252 3.698 +- 0.145 3.731 +- 0.162

5.32507 3.839 +- 0.189 3.756 +- 0.126 3.942 +- 0.146

5.70827 4.099 +- 0.157 4.158 +- 0.104 4.174 +- 0.121

6.10017 4.349 +- 0.144 4.252 +- 0.094 4.134 +- 0.105

ALICE 2.76 TeV, Pb+Pb k_T~0.39 GeV/c
(dN/deta)^1/3 R_out (fm) R_side (fm) R_long (fm)

11.6985 5.59 +- 0.288 5.81 +- 0.2074 6.77 +- 0.2908

Figure 10 - Extracted system lifetime

eps | pdf | png

Experiment sqrt(sNN) Volume (fm³)

STAR Au+Au 7.7 GeV 1922.99 +- 87.0084

STAR Au+Au 11.5 GeV 1958.32 +- 48.6291

STAR Au+Au 19.6 GeV 2135.6 +- 34.1025

STAR Au+Au 27 GeV 2256.51 +- 25.9516

STAR Au+Au 39 GeV 2401.71 +- 56.788

STAR Au+Au 62.4 GeV 2493.76 +- 48.7154

STAR Au+Au 200 GeV 2837.23 +- 54.9542

E895 Au+Au 2.347 GeV 3198.87 +- 235.461

E895 Au+Au 3.04 GeV 2338.98 +- 115.001

E895 Au+Au 3.608 GeV 1895.81 +- 115.519

E895 Au+Au 4.095 GeV 1704.83 +- 172.49

E866 Au+Au 4.73 GeV 1487.77 +- 342.255

WA98 Au+Au 17.27 GeV 2258.92 +- 497.888

CERES Pb+Au 8.76 GeV 1919.33 +- 252.719

CERES Pb+Au 12.3 GeV 1894.12 +- 242.196

CERES Pb+Au 17.2 GeV 2180.3 +- 236.09

NA49 Pb+Au 6.3 GeV 1557.45 +- 183.587

NA49 Pb+Au 7.6 GeV 1535.86 +- 181.648

NA49 Pb+Au 8.7 GeV 1600.33 +- 180.961

NA49 Pb+Au 12.5 GeV 1829.44 +- 208.12

NA49 Pb+Au 17.27 GeV 1775.04 +- 187.598

NA44 Pb+Au 17.27 GeV 2704.35 +- 405.391

PHOBOS Au+Au 71.76 GeV 2285.8 +- 1298.55

PHOBOS Au+Au 230 GeV 2478.93 +- 2056.5

ALICE Pb+Pb 2760 GeV 5115.64 +- 1122.12

Figure 11 - Extracted system lifetime

eps | pdf | png

Experiment sqrt(sNN) (GeV) tau (fm/c)

STAR 7.7 5.607 +- 0.029

STAR 11.5 6.059 +- 0.017

STAR 19.6 6.485 +- 0.012

STAR 27 6.699 +- 0.009

STAR 39 6.904 +- 0.016

STAR 62.4 7.125 +- 0.014

STAR 200 7.628 +- 0.013

E895 2.347 4.444 +- 0.108

E895 3.04 4.671 +- 0.075

E895 3.608 4.464 +- 0.103

E895 4.095 4.510 +- 0.143

CERES 17.3 6.197 +- ??

NA49 6.3 5.240 +- 0.044

NA49 7.6 5.456 +- 0.042

NA49 8.7 5.754 +- 0.039

NA49 12.5 5.939 +- 0.052

NA49 17.3 6.144 +- 0.038

PHOBOS 62.4 6.688 +- 0.217

PHOBOS 200 7.173 +- 0.185

ALICE 2760 10.441 +- 0.074

Figure 12 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 7.7 GeV

eps | pdf | png

Azimuthally-integrated

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²)

337.414 +/- 0 25.6907 +/- 0.274047 19.5577 +/- 0.187389 17.3972 +/- 0.192441 -0.185954 +/- 0.162435 0.352482 +/- 0.168776

290.417 +/- 0 22.8919 +/- 0.273366 17.6617 +/- 0.192753 15.8541 +/- 0.201802 0.086083 +/- 0.164002 -0.08845 +/- 0.169932

226.22 +/- 0 19.9189 +/- 0.193823 14.9389 +/- 0.131654 14.1453 +/- 0.145063 0.037288 +/- 0.112659 0.159842 +/- 0.120542

160.153 +/- 0 16.7017 +/- 0.205234 12.2631 +/- 0.138433 12.0048 +/- 0.160324 -0.076315 +/- 0.116956 0.064598 +/- 0.127835

109.878 +/- 0 13.4977 +/- 0.211118 10.0635 +/- 0.141461 9.85758 +/- 0.165235 -0.116376 +/- 0.116092 0.085108 +/- 0.127871

HHLW method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

337.414 +/- 2.14824 26.3554 +/- 0.288728 19.4874 +/- 0.169366 18.0032 +/- 0.177805 -0.40861 +/- 0.172853 0.553638 +/- 0.18267 -0.0579912 +/- 0.0116122 0.0215318 +/- 0.00645066 -0.0157486 +/- 0.00736071 0.0924533 +/- 0.00576175 -0.214856 +/- 0.138481

290.417 +/- 5.97254 23.3896 +/- 0.274899 17.6052 +/- 0.170948 16.0213 +/- 0.178397 0.0273873 +/- 0.169555 -0.171497 +/- 0.178033 -0.0717797 +/- 0.0117187 0.0369364 +/- 0.0070584 -0.00410859 +/- 0.00791127 0.0825803 +/- 0.00654375 0.398494 +/- 0.131483

226.22 +/- 7.94492 20.8025 +/- 0.197048 14.8872 +/- 0.114269 14.4291 +/- 0.132385 0.0546548 +/- 0.116792 0.0653883 +/- 0.128091 -0.123057 +/- 0.0101064 0.0736725 +/- 0.00540351 -0.0403284 +/- 0.00692081 0.095238 +/- 0.00541035 0.139351 +/- 0.0951089

160.153 +/- 10.1969 17.715 +/- 0.212769 12.0888 +/- 0.117681 12.0275 +/- 0.140147 -0.21577 +/- 0.121976 0.218793 +/- 0.135339 -0.122069 +/- 0.0136985 0.0846987 +/- 0.00674548 -0.0273894 +/- 0.00870717 0.133754 +/- 0.00711536 -0.0647937 +/- 0.102148

109.878 +/- 11.01 15.2596 +/- 0.251247 9.96748 +/- 0.120219 10.4541 +/- 0.160052 -0.376809 +/- 0.132061 0.724629 +/- 0.168219 -0.235089 +/- 0.0210158 0.109378 +/- 0.00849415 -0.0786692 +/- 0.0121297 0.12787 +/- 0.00867073 -0.770143 +/- 0.14103

Global fit method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

226.22 +/- 7.94492 20.8223 +/- 0.24136 14.9264 +/- 0.151598 14.5882 +/- 0.164722 0.00604599 +/- 0.112012 -0.0578897 +/- 0.164706 -0.0996523 +/- 0.0157029 0.0610631 +/- 0.0127334 -0.0591141 +/- 0.0121877 0.102925 +/- 0.0135878 0.440212 +/- 0.230548

160.153 +/- 10.1969 17.567 +/- 0.287155 12.202 +/- 0.148521 12.1451 +/- 0.190748 -0.0847337 +/- 0.114103 -0.0314714 +/- 0.164835 -0.0857302 +/- 0.0220322 0.0634317 +/- 0.0145396 -0.0380754 +/- 0.0172757 0.142047 +/- 0.015586 0.324726 +/- 0.23224

109.878 +/- 11.01 14.5385 +/- 0.273905 9.78372 +/- 0.153989 10.1413 +/- 0.191249 -0.100627 +/- 0.11417 0.266525 +/- 0.17864 -0.1371 +/- 0.023391 0.0847649 +/- 0.0197858 -0.0356104 +/- 0.0183382 0.121582 +/- 0.0198626 -0.321932 +/- 0.203869

Figure 13 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 7.7 GeV
eps | pdf | png
Midrapidity: -0.5 < y < 0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

226.22 +/- 7.94492 20.8223 +/- 0.24136 14.9264 +/- 0.151598 14.5882 +/- 0.164722 0.00604599 +/- 0.112012 -0.0578897 +/- 0.164706 -0.0996523 +/- 0.0157029 0.0610631 +/- 0.0127334 -0.0591141 +/- 0.0121877 0.102925 +/- 0.0135878 0.440212 +/- 0.230548

160.153 +/- 10.1969 17.567 +/- 0.287155 12.202 +/- 0.148521 12.1451 +/- 0.190748 -0.0847337 +/- 0.114103 -0.0314714 +/- 0.164835 -0.0857302 +/- 0.0220322 0.0634317 +/- 0.0145396 -0.0380754 +/- 0.0172757 0.142047 +/- 0.015586 0.324726 +/- 0.23224

109.878 +/- 11.01 14.5385 +/- 0.273905 9.78372 +/- 0.153989 10.1413 +/- 0.191249 -0.100627 +/- 0.11417 0.266525 +/- 0.17864 -0.1371 +/- 0.023391 0.0847649 +/- 0.0197858 -0.0356104 +/- 0.0183382 0.121582 +/- 0.0198626 -0.321932 +/- 0.203869

Backwards rapidity: -1 < y < -0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

226.22 +/- 7.94492 22.7285 +/- 0.407346 15.776 +/- 0.271793 15.5542 +/- 0.330442 -0.0977639 +/- 0.21131 -4.34154 +/- 0.281747 -0.111845 +/- 0.0257729 0.0418682 +/- 0.0200639 -0.0980378 +/- 0.0205651 0.0790726 +/- 0.0241548 0.984111 +/- 0.350832

160.153 +/- 10.1969 18.6778 +/- 0.405669 12.5168 +/- 0.265417 12.7669 +/- 0.344732 -0.263614 +/- 0.209699 -3.80251 +/- 0.284918 -0.153176 +/- 0.0279701 0.113749 +/- 0.0246777 -0.083046 +/- 0.0282513 0.0607597 +/- 0.0298804 0.253646 +/- 0.325494

109.878 +/- 11.01 16.9825 +/- 0.501748 10.6274 +/- 0.299343 11.2359 +/- 0.406222 0.18581 +/- 0.219149 -2.92355 +/- 0.344615 -0.083277 +/- 0.0438789 0.0302481 +/- 0.033261 -0.0912059 +/- 0.032935 0.157593 +/- 0.0338515 0.331492 +/- 0.390057

Forward rapidity: 0.5 < y < 1

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

290.417 +/- 5.97254 26.4784 +/- 0.639001 19.1442 +/- 0.425028 18.3369 +/- 0.441252 -0.0681857 +/- 0.265632 4.64469 +/- 0.452029 -0.0802441 +/- 0.0299539 -0.021827 +/- 0.0221439 -0.0552465 +/- 0.0281064 0.130709 +/- 0.0346175 0.450015 +/- 0.650069

226.22 +/- 7.94492 21.99 +/- 0.382198 15.9959 +/- 0.236832 15.7915 +/- 0.325654 -0.152118 +/- 0.181425 3.96572 +/- 0.275213 -0.0619691 +/- 0.0277348 0.0400481 +/- 0.018788 -0.0379497 +/- 0.0294212 0.120704 +/- 0.0179733 -0.288654 +/- 0.472314

160.153 +/- 10.1969 18.0309 +/- 0.366036 13.1101 +/- 0.246402 13.044 +/- 0.317207 -0.259446 +/- 0.187225 3.28022 +/- 0.370749 -0.0726169 +/- 0.0302619 0.0868941 +/- 0.0237515 -0.0639331 +/- 0.03298 0.0875615 +/- 0.0239384 0.141868 +/- 0.546196

109.878 +/- 11.01 15.66 +/- 0.410077 10.689 +/- 0.254836 11.2817 +/- 0.362913 0.114033 +/- 0.185292 2.43085 +/- 0.370869 -0.141258 +/- 0.0337918 0.0889891 +/- 0.0303007 -0.111137 +/- 0.0295753 0.136756 +/- 0.025774 -0.289466 +/- 0.403902

Figure 14 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 11.5 GeV
eps | pdf | png
Azimuthally-integrated

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²)

338.222 +/- 0 26.6529 +/- 0.15607 19.2766 +/- 0.104116 20.0396 +/- 0.125389 -0.089674 +/- 0.087131 -0.00551 +/- 0.098405

290.638 +/- 0 23.7575 +/- 0.151032 17.1936 +/- 0.103989 18.583 +/- 0.1313 0.090682 +/- 0.088003 0.255092 +/- 0.101631

226.01 +/- 0 20.6047 +/- 0.105487 14.9574 +/- 0.069517 16.4759 +/- 0.088565 0.046413 +/- 0.061091 0.045587 +/- 0.070911

159.62 +/- 0 16.9476 +/- 0.110229 12.2658 +/- 0.072041 13.5862 +/- 0.09614 0.101162 +/- 0.062068 0.020097 +/- 0.07262

109.982 +/- 0 13.7738 +/- 0.116346 10.0416 +/- 0.076165 11.2268 +/- 0.10069 -0.138461 +/- 0.064191 -0.017267 +/- 0.076763

HHLW method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

338.222 +/- 1.96944 27.0276 +/- 0.146301 19.2087 +/- 0.0861907 20.231 +/- 0.103346 -0.0081475 +/- 0.0897836 -0.0137588 +/- 0.101223 -0.033287 +/- 0.00556344 0.0145988 +/- 0.00324209 -0.0271737 +/- 0.00370295 0.0399683 +/- 0.00320699 -0.00637025 +/- 0.0734762

290.638 +/- 6.16983 24.3866 +/- 0.150086 17.2051 +/- 0.0870664 18.8155 +/- 0.109535 0.164939 +/- 0.0906754 0.341034 +/- 0.106152 -0.0919233 +/- 0.0064191 0.0374148 +/- 0.00358793 -0.0164426 +/- 0.00422002 0.0646737 +/- 0.00366899 -0.198748 +/- 0.077204

226.01 +/- 8.17216 21.3118 +/- 0.10455 14.9103 +/- 0.0609412 16.5758 +/- 0.0775933 0.0711872 +/- 0.0623491 0.0984035 +/- 0.0738273 -0.101797 +/- 0.00515555 0.0488623 +/- 0.00286533 -0.0175693 +/- 0.0033647 0.0845328 +/- 0.00291983 0.0580087 +/- 0.054139

159.62 +/- 9.45027 17.8379 +/- 0.111224 12.2234 +/- 0.0620678 13.7577 +/- 0.0815944 0.135066 +/- 0.0641601 0.0345525 +/- 0.077508 -0.16333 +/- 0.00694877 0.0766706 +/- 0.00353019 -0.0175211 +/- 0.00429955 0.11274 +/- 0.00363289 0.034741 +/- 0.0582694

109.982 +/- 10.3007 15.0286 +/- 0.127421 9.70571 +/- 0.0644065 11.2686 +/- 0.0916624 -0.116951 +/- 0.0683062 0.0744522 +/- 0.0855656 -0.232778 +/- 0.0105486 0.0945021 +/- 0.00458509 -0.0420794 +/- 0.00616558 0.172368 +/- 0.00492172 -0.0466183 +/- 0.0666918

Global fit method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

290.638 +/- 6.16983 24.4455 +/- 0.179058 17.1426 +/- 0.116485 19.0283 +/- 0.126387 0.159341 +/- 0.0877336 0.270987 +/- 0.150233 -0.0922153 +/- 0.00979559 0.0379496 +/- 0.00707755 -0.0550496 +/- 0.00751399 0.074459 +/- 0.0103128 0.0367397 +/- 0.253707

226.01 +/- 8.17216 21.3368 +/- 0.119353 14.9131 +/- 0.078117 16.6874 +/- 0.0912232 0.0135377 +/- 0.0606683 0.033788 +/- 0.0899564 0 -0.0913982 +/- 0.00732139 0.0429842 +/- 0.00543549 -0.037488 +/- 0.00657552 0.0887669 +/- 0.00631183 0.224225 +/- 0.138608

159.62 +/- 9.45027 17.7929 +/- 0.119752 12.1636 +/- 0.0768134 13.8267 +/- 0.096657 0.130078 +/- 0.0614946 0.0144681 +/- 0.104955 -0.138177 +/- 0.0087707 0.0652544 +/- 0.00668789 -0.0388247 +/- 0.00718479 0.112409 +/- 0.00700237 0.134841 +/- 0.137386

109.982 +/- 10.3007 15.0212 +/- 0.132136 9.85439 +/- 0.0871352 11.6725 +/- 0.106079 -0.109126 +/- 0.0618997 0.13007 +/- 0.104682 -0.180209 +/- 0.0104212 0.0681486 +/- 0.00998564 -0.0727336 +/- 0.00819674 0.160403 +/- 0.00923728 -0.178315 +/- 0.11028

Figure 15 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 11.5 GeV
eps | pdf | png
Midrapidity: -0.5 < y < 0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

290.638 +/- 6.16983 24.4455 +/- 0.179058 17.1426 +/- 0.116485 19.0283 +/- 0.126387 0.159341 +/- 0.0877336 0.270987 +/- 0.150233 -0.0922153 +/- 0.00979559 0.0379496 +/- 0.00707755 -0.0550496 +/- 0.00751399 0.074459 +/- 0.0103128 0.0367397 +/- 0.253707

226.01 +/- 8.17216 21.3368 +/- 0.119353 14.9131 +/- 0.078117 16.6874 +/- 0.0912232 0.0135377 +/- 0.0606683 0.033788 +/- 0.0899564 -0.0913982 +/- 0.00732139 0.0429842 +/- 0.00543549 -0.037488 +/- 0.00657552 0.0887669 +/- 0.00631183 0.224225 +/- 0.138608

159.62 +/- 9.45027 17.7929 +/- 0.119752 12.1636 +/- 0.0768134 13.8267 +/- 0.096657 0.130078 +/- 0.0614946 0.0144681 +/- 0.104955 -0.138177 +/- 0.0087707 0.0652544 +/- 0.00668789 -0.0388247 +/- 0.00718479 0.112409 +/- 0.00700237 0.134841 +/- 0.137386

109.982 +/- 10.3007 15.0212 +/- 0.132136 9.85439 +/- 0.0871352 11.6725 +/- 0.106079 -0.109126 +/- 0.0618997 0.13007 +/- 0.104682 -0.180209 +/- 0.0104212 0.0681486 +/- 0.00998564 -0.0727336 +/- 0.00819674 0.160403 +/- 0.00923728 -0.178315 +/- 0.11028

Backwards rapidity: -1 < y < -0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

226.01 +/- 8.17216 22.7226 +/- 0.214965 15.5798 +/- 0.136167 17.2553 +/- 0.185824 0.141398 +/- 0.106064 -2.97045 +/- 0.145666 -0.105258 +/- 0.013684 0.0388499 +/- 0.0103272 -0.040764 +/- 0.0126416 0.0977188 +/- 0.0103634 -0.0198545 +/- 0.199861

159.62 +/- 9.45027 19.0808 +/- 0.208559 12.8181 +/- 0.13815 14.3441 +/- 0.182389 -0.0318574 +/- 0.106546 -2.28031 +/- 0.148021 -0.117326 +/- 0.0152105 0.0762957 +/- 0.0121279 -0.024634 +/- 0.0148693 0.123574 +/- 0.0116428 -0.165598 +/- 0.203092

109.982 +/- 10.3007 15.7369 +/- 0.245195 10.1116 +/- 0.142176 11.5986 +/- 0.216224 0.0716812 +/- 0.107707 -1.50056 +/- 0.175615 -0.125711 +/- 0.0218694 0.0993898 +/- 0.0162877 -0.0807731 +/- 0.0192294 0.143227 +/- 0.0161695 0.571289 +/- 0.221285

Forward rapidity: 0.5 < y < 1

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

226.01 +/- 8.17216 22.9635 +/- 0.188337 15.8302 +/- 0.120689 17.3377 +/- 0.167218 -0.114493 +/- 0.0966886 3.41765 +/- 0.207946 -0.0899306 +/- 0.0151772 0.049637 +/- 0.00857609 -0.0344337 +/- 0.0161258 0.094652 +/- 0.00916309 -0.289642 +/- 0.391498

159.62 +/- 9.45027 19.1802 +/- 0.218957 12.751 +/- 0.123124 14.5531 +/- 0.195644 -0.0580803 +/- 0.0966341 2.44109 +/- 0.151872 -0.105278 +/- 0.0171829 0.0693525 +/- 0.0104076 -0.0575574 +/- 0.0155723 0.100151 +/- 0.0109889 0.0187131 +/- 0.223446

109.982 +/- 10.3007 15.9104 +/- 0.206721 10.4209 +/- 0.124589 12.3639 +/- 0.191792 0.0486685 +/- 0.09846 1.88137 +/- 0.220861 -0.138979 +/- 0.0189846 0.11052 +/- 0.0142722 -0.0821731 +/- 0.0182114 0.133102 +/- 0.0139096 -0.00308889 +/- 0.299964

Figure 16 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 19.6 GeV
eps | pdf | png
Azimuthally-integrated

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²)

338.048 +/- 0 28.4099 +/- 0.110637 19.9154 +/- 0.0705 23.479 +/- 0.096028 -0.018504 +/- 0.061538 -0.05933 +/- 0.074799

289.22 +/- 0 25.0732 +/- 0.108502 17.8582 +/- 0.069387 21.4751 +/- 0.09567 0.109631 +/- 0.063083 0.022947 +/- 0.077404

224.913 +/- 0 21.6018 +/- 0.075026 15.5787 +/- 0.048412 18.9562 +/- 0.068118 -0.074447 +/- 0.043448 -0.004178 +/- 0.053614

158.103 +/- 0 17.6227 +/- 0.076842 12.7637 +/- 0.052015 15.5171 +/- 0.074209 0.068839 +/- 0.043841 -0.054468 +/- 0.05421

108.043 +/- 0 14.415 +/- 0.082516 10.4486 +/- 0.054733 12.6593 +/- 0.076476 0.028258 +/- 0.045754 -0.011122 +/- 0.057034

HHLW method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

338.048 +/- 2.29358 28.711 +/- 0.104082 19.9739 +/- 0.0590752 23.5784 +/- 0.079243 -0.0416265 +/- 0.0628488 0.0315842 +/- 0.0769399 -0.0640899 +/- 0.00383102 0.0110244 +/- 0.00210668 -0.00597158 +/- 0.0024191 0.0364228 +/- 0.00217773 -0.322876 +/- 0.0561042

289.22 +/- 5.99589 25.3603 +/- 0.105137 17.8199 +/- 0.0618827 21.6036 +/- 0.0852454 0.150707 +/- 0.0638867 -0.0543552 +/- 0.0791443 -0.0639916 +/- 0.00430445 0.0254729 +/- 0.00247124 -0.0253696 +/- 0.00286105 0.049834 +/- 0.0024894 0.127936 +/- 0.0575271

224.913 +/- 8.61768 22.0206 +/- 0.0731756 15.5211 +/- 0.0422488 19.1146 +/- 0.0602063 -0.017809 +/- 0.0441169 -0.0041525 +/- 0.0552029 -0.0917881 +/- 0.00348709 0.0473324 +/- 0.00191352 -0.0286666 +/- 0.00227104 0.075079 +/- 0.00198828 0.122767 +/- 0.0402917

158.103 +/- 10.4776 18.1811 +/- 0.0749775 12.6037 +/- 0.042741 15.5683 +/- 0.0615879 0.098726 +/- 0.0444168 -0.021894 +/- 0.0557118 -0.122333 +/- 0.00442815 0.0661016 +/- 0.00239274 -0.0127358 +/- 0.00282387 0.101677 +/- 0.00246691 -0.016586 +/- 0.0406488

108.043 +/- 10.6434 15.4131 +/- 0.0848916 10.2591 +/- 0.0453421 12.7702 +/- 0.0674083 0.0954405 +/- 0.0478224 0.05645 +/- 0.0606694 -0.181901 +/- 0.00640477 0.0779182 +/- 0.00308284 -0.0275955 +/- 0.00391137 0.147508 +/- 0.00324265 -0.111758 +/- 0.0460323

Global fit method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

289.22 +/- 5.99589 25.4502 +/- 0.122322 17.8232 +/- 0.0795347 21.6868 +/- 0.0964211 0.115385 +/- 0.0627768 -0.0924392 +/- 0.09873 -0.0682756 +/- 0.00665007 0.0259592 +/- 0.00459002 -0.0424454 +/- 0.00488394 0.0554932 +/- 0.00586506 0.30549 +/- 0.176946

224.913 +/- 8.61768 22.0566 +/- 0.0827274 15.5278 +/- 0.0547908 19.223 +/- 0.0687938 -0.026237 +/- 0.0430085 -0.00982416 +/- 0.0626992 -0.0854571 +/- 0.00471353 0.045213 +/- 0.00334058 -0.048331 +/- 0.00357075 0.0801195 +/- 0.00385824 0.155176 +/- 0.0865308

158.103 +/- 10.4776 18.2539 +/- 0.0864679 12.6278 +/- 0.0518115 15.6816 +/- 0.0739443 0.0905958 +/- 0.0429621 -0.024035 +/- 0.0618122 -0.115539 +/- 0.00569227 0.0623383 +/- 0.00411214 -0.0323133 +/- 0.00455341 0.10513 +/- 0.00444728 -0.0398565 +/- 0.0798515

108.043 +/- 10.6434 15.4438 +/- 0.0902569 10.2972 +/- 0.0581115 12.9426 +/- 0.0781512 0.0230799 +/- 0.0444736 0.0785446 +/- 0.0704739 -0.151224 +/- 0.00719681 0.0649963 +/- 0.00566665 -0.0436868 +/- 0.0058524 0.144215 +/- 0.00577706 -0.144209 +/- 0.083425

Figure 17 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 19.6 GeV
eps | pdf | png
Midrapidity: -0.5 < y < 0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

289.22 +/- 5.99589 25.4502 +/- 0.122322 17.8232 +/- 0.0795347 21.6868 +/- 0.0964211 0.115385 +/- 0.0627768 -0.0924392 +/- 0.09873 -0.0682756 +/- 0.00665007 0.0259592 +/- 0.00459002 -0.0424454 +/- 0.00488394 0.0554932 +/- 0.00586506 0.30549 +/- 0.176946

224.913 +/- 8.61768 22.0566 +/- 0.0827274 15.5278 +/- 0.0547908 19.223 +/- 0.0687938 -0.026237 +/- 0.0430085 -0.00982416 +/- 0.0626992 -0.0854571 +/- 0.00471353 0.045213 +/- 0.00334058 -0.048331 +/- 0.00357075 0.0801195 +/- 0.00385824 0.155176 +/- 0.0865308

158.103 +/- 10.4776 18.2539 +/- 0.0864679 12.6278 +/- 0.0518115 15.6816 +/- 0.0739443 0.0905958 +/- 0.0429621 -0.024035 +/- 0.0618122 -0.115539 +/- 0.00569227 0.0623383 +/- 0.00411214 -0.0323133 +/- 0.00455341 0.10513 +/- 0.00444728 -0.0398565 +/- 0.0798515

108.043 +/- 10.6434 15.4438 +/- 0.0902569 10.2972 +/- 0.0581115 12.9426 +/- 0.0781512 0.0230799 +/- 0.0444736 0.0785446 +/- 0.0704739 -0.151224 +/- 0.00719681 0.0649963 +/- 0.00566665 -0.0436868 +/- 0.0058524 0.144215 +/- 0.00577706 -0.144209 +/- 0.083425

Backwards rapidity: -1 < y < -0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

289.22 +/- 5.99589 26.8352 +/- 0.177962 18.4678 +/- 0.118969 22.1722 +/- 0.175432 -0.163651 +/- 0.0997442 -2.45938 +/- 0.132204 -0.0467166 +/- 0.0118834 0.019331 +/- 0.00762818 0.0106767 +/- 0.00992531 0.060743 +/- 0.00894839 -0.902971 +/- 0.215751

224.913 +/- 8.61768 23.4361 +/- 0.128287 16.034 +/- 0.0818943 19.4983 +/- 0.123497 0.0494188 +/- 0.0680783 -1.99373 +/- 0.0939873 -0.0937583 +/- 0.00781604 0.0435646 +/- 0.00534624 -0.0173137 +/- 0.00711654 0.0716434 +/- 0.00570704 -0.371042 +/- 0.131207

158.103 +/- 10.4776 19.2077 +/- 0.126021 13.1347 +/- 0.0824729 16.2575 +/- 0.123044 0.105405 +/- 0.0669369 -1.43251 +/- 0.0982096 -0.125519 +/- 0.00894887 0.0681641 +/- 0.00629804 -0.0498924 +/- 0.00757288 0.108771 +/- 0.00654483 0.149028 +/- 0.123151

108.043 +/- 10.6434 16.1675 +/- 0.141799 10.71 +/- 0.0881695 13.4527 +/- 0.140195 -0.0544523 +/- 0.0701092 -1.15652 +/- 0.111737 -0.128006 +/- 0.0117167 0.0731012 +/- 0.0088845 -0.062395 +/- 0.0100375 0.131856 +/- 0.00868524 0.0284749 +/- 0.136466

Forward rapidity: 0.5 < y < 1

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

289.22 +/- 5.99589 26.8125 +/- 0.176225 18.6758 +/- 0.122037 22.367 +/- 0.161091 0.0158895 +/- 0.096989 2.5355 +/- 0.148709 -0.0611379 +/- 0.0107431 0.023106 +/- 0.00701873 -0.0290913 +/- 0.00933606 0.0639758 +/- 0.00866664 -0.634073 +/- 0.286272

224.913 +/- 8.61768 23.0925 +/- 0.123864 16.1115 +/- 0.0824315 19.7232 +/- 0.118844 0.151316 +/- 0.0661577 1.98354 +/- 0.116615 -0.0770059 +/- 0.00813573 0.0409221 +/- 0.00523143 -0.024808 +/- 0.00746509 0.0900344 +/- 0.0056898 0.115911 +/- 0.20264

158.103 +/- 10.4776 19.4734 +/- 0.130451 13.3116 +/- 0.0787195 16.525 +/- 0.126405 0.0133125 +/- 0.0658021 1.42403 +/- 0.101457 -0.120896 +/- 0.00920342 0.0733934 +/- 0.00624634 -0.0429572 +/- 0.00759168 0.109345 +/- 0.00620311 0.152312 +/- 0.131027

108.043 +/- 10.6434 16.2239 +/- 0.147348 10.7996 +/- 0.0906023 13.2923 +/- 0.139471 0.0109869 +/- 0.0688735 0.959741 +/- 0.110957 -0.128095 +/- 0.0115904 0.0681585 +/- 0.00861321 -0.0539511 +/- 0.010384 0.126319 +/- 0.00886627 -0.0299539 +/- 0.14136

Figure 18 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 27 GeV
eps | pdf | png
Azimuthally-integrated

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²)

343.266 +/- 0 28.3704 +/- 0.074276 20.2364 +/- 0.047256 24.886 +/- 0.066187 0.023929 +/- 0.043897 0.007203 +/- 0.054249

299.26 +/- 0 25.4481 +/- 0.074757 18.2106 +/- 0.047971 22.7443 +/- 0.068288 -0.010716 +/- 0.043873 0.085588 +/- 0.054791

233.646 +/- 0 21.9408 +/- 0.053036 15.9733 +/- 0.034845 19.8271 +/- 0.049823 -0.032602 +/- 0.030652 -0.019315 +/- 0.038165

165.517 +/- 0 17.9767 +/- 0.053155 13.1667 +/- 0.034854 16.4437 +/- 0.050478 0.052306 +/- 0.030705 0.017878 +/- 0.038444

114.034 +/- 0 14.7417 +/- 0.055607 10.6863 +/- 0.03585 13.4848 +/- 0.053054 -0.014827 +/- 0.031364 0.071177 +/- 0.039724

HHLW method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

343.266 +/- 2.0094 28.533 +/- 0.0719692 20.2235 +/- 0.0419271 24.9992 +/- 0.0586761 0.038442 +/- 0.044306 -0.001293 +/- 0.0550423 -0.0363772 +/- 0.00257312 0.0099006 +/- 0.00147278 -0.0093963 +/- 0.00167673 0.0349433 +/- 0.00152566 -0.0441818 +/- 0.039611

299.26 +/- 6.1923 25.7212 +/- 0.0722213 18.1786 +/- 0.0420788 22.8263 +/- 0.0600765 0.016613 +/- 0.0441947 0.0837535 +/- 0.0555434 -0.0624787 +/- 0.00288515 0.0298304 +/- 0.00163129 -0.0118613 +/- 0.00189737 0.0508115 +/- 0.00170477 -0.0282975 +/- 0.0400801

233.646 +/- 8.9821 22.2902 +/- 0.0506429 15.9104 +/- 0.0297678 19.9507 +/- 0.0427193 -0.0313195 +/- 0.0311157 0.00229075 +/- 0.0389483 -0.0795455 +/- 0.00231405 0.0385314 +/- 0.00131597 -0.0175921 +/- 0.00152975 0.0757704 +/- 0.00138355 -0.0335707 +/- 0.028119

165.517 +/- 10.7114 18.5529 +/- 0.0524489 13.1029 +/- 0.0302023 16.5 +/- 0.0442061 0.0709707 +/- 0.031358 -0.0340547 +/- 0.0394462 -0.124654 +/- 0.0029855 0.0646861 +/- 0.00161705 -0.0200955 +/- 0.00193881 0.102987 +/- 0.00169698 0.0780363 +/- 0.0288151

114.034 +/- 11.2798 15.4671 +/- 0.0559053 10.5599 +/- 0.0309996 13.5535 +/- 0.0469225 -0.0378257 +/- 0.0322819 0.0157448 +/- 0.0415768 -0.153161 +/- 0.00400654 0.0755182 +/- 0.00205644 -0.0138082 +/- 0.00250579 0.126051 +/- 0.0021477 0.00890425 +/- 0.0307926

Global fit method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

299.26 +/- 6.1923 25.7783 +/- 0.0789766 18.1802 +/- 0.0563905 22.8853 +/- 0.0690492 -0.0021206 +/- 0.0437279 0.126394 +/- 0.0632577 -0.0631264 +/- 0.0044462 0.0280486 +/- 0.00312707 -0.0226155 +/- 0.00339619 0.0565577 +/- 0.00374542 -0.152214 +/- 0.114498

233.646 +/- 8.9821 22.368 +/- 0.0545895 15.9251 +/- 0.0378527 20.0418 +/- 0.0490634 -0.0217566 +/- 0.0303225 0.0225379 +/- 0.0425115 -0.079381 +/- 0.0031659 0.037485 +/- 0.00228144 -0.0319702 +/- 0.00243968 0.080807 +/- 0.00249017 -0.0958352 +/- 0.0584131

165.517 +/- 10.7114 18.6141 +/- 0.0554466 13.1084 +/- 0.0383548 16.5944 +/- 0.0507108 0.0618434 +/- 0.0301184 -0.0328112 +/- 0.0435052 -0.118366 +/- 0.00360072 0.061315 +/- 0.00272962 -0.0352758 +/- 0.00289812 0.106957 +/- 0.00285663 0.0849121 +/- 0.0530794

114.034 +/- 11.2798 15.5344 +/- 0.0630994 10.5867 +/- 0.0401407 13.7049 +/- 0.0569582 -0.0147381 +/- 0.0306844 0.0514682 +/- 0.0475344 -0.137096 +/- 0.00479615 0.0681481 +/- 0.00361238 -0.0351142 +/- 0.00394738 0.127029 +/- 0.00381969 -0.0390091 +/- 0.057601

Figure 19 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 27 GeV
eps | pdf | png
Midrapidity: -0.5 < y < 0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

299.26 +/- 6.1923 25.7783 +/- 0.0789766 18.1802 +/- 0.0563905 22.8853 +/- 0.0690492 -0.0021206 +/- 0.0437279 0.126394 +/- 0.0632577 -0.0631264 +/- 0.0044462 0.0280486 +/- 0.00312707 -0.0226155 +/- 0.00339619 0.0565577 +/- 0.00374542 -0.152214 +/- 0.114498

233.646 +/- 8.9821 22.368 +/- 0.0545895 15.9251 +/- 0.0378527 20.0418 +/- 0.0490634 -0.0217566 +/- 0.0303225 0.0225379 +/- 0.0425115 -0.079381 +/- 0.0031659 0.037485 +/- 0.00228144 -0.0319702 +/- 0.00243968 0.080807 +/- 0.00249017 -0.0958352 +/- 0.0584131

165.517 +/- 10.7114 18.6141 +/- 0.0554466 13.1084 +/- 0.0383548 16.5944 +/- 0.0507108 0.0618434 +/- 0.0301184 -0.0328112 +/- 0.0435052 -0.118366 +/- 0.00360072 0.061315 +/- 0.00272962 -0.0352758 +/- 0.00289812 0.106957 +/- 0.00285663 0.0849121 +/- 0.0530794

114.034 +/- 11.2798 15.5344 +/- 0.0630994 10.5867 +/- 0.0401407 13.7049 +/- 0.0569582 -0.0147381 +/- 0.0306844 0.0514682 +/- 0.0475344 -0.137096 +/- 0.00479615 0.0681481 +/- 0.00361238 -0.0351142 +/- 0.00394738 0.127029 +/- 0.00381969 -0.0390091 +/- 0.057601

Backwards rapidity: -1 < y < -0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

299.26 +/- 6.1923 27.14 +/- 0.126326 18.8195 +/- 0.0834172 23.7376 +/- 0.121035 0.0690747 +/- 0.067564 -2.21582 +/- 0.0944173 -0.0509495 +/- 0.00692284 0.0247399 +/- 0.00489147 -0.0280097 +/- 0.00573808 0.053782 +/- 0.00567864 -0.294479 +/- 0.169084

233.646 +/- 8.9821 23.6468 +/- 0.087301 16.5001 +/- 0.0551195 20.9277 +/- 0.0868761 0.0899624 +/- 0.0467778 -1.67729 +/- 0.0664696 -0.0844686 +/- 0.00484182 0.041037 +/- 0.00343231 -0.0413423 +/- 0.00403114 0.0756189 +/- 0.00370319 0.0468903 +/- 0.0893435

165.517 +/- 10.7114 19.6701 +/- 0.0862743 13.6897 +/- 0.0587289 17.4942 +/- 0.0875086 -0.013378 +/- 0.0467903 -1.25863 +/- 0.0678023 -0.103277 +/- 0.00565335 0.0495853 +/- 0.00407736 -0.0387535 +/- 0.00486795 0.0980854 +/- 0.00423935 0.104604 +/- 0.0836907

114.034 +/- 11.2798 16.4213 +/- 0.0938702 11.0123 +/- 0.059863 14.064 +/- 0.0946863 -0.0285096 +/- 0.0474582 -0.787957 +/- 0.0750612 -0.139067 +/- 0.00734122 0.0796031 +/- 0.0055705 -0.0408501 +/- 0.00686742 0.12616 +/- 0.00549183 -0.00736962 +/- 0.0915351

Forward rapidity: 0.5 < y < 1

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

299.26 +/- 6.1923 27.4214 +/- 0.127729 18.8527 +/- 0.0826869 23.7865 +/- 0.127161 -0.0805001 +/- 0.0698332 2.24349 +/- 0.109198 -0.0521178 +/- 0.0073863 0.0252055 +/- 0.00510236 -0.0298994 +/- 0.00635402 0.0454732 +/- 0.00581288 0.0309351 +/- 0.20761

233.646 +/- 8.9821 23.5535 +/- 0.0861296 16.4688 +/- 0.0561842 20.9116 +/- 0.0855763 -0.0380331 +/- 0.0479799 1.78165 +/- 0.07015 -0.0749314 +/- 0.00505676 0.0357071 +/- 0.00351049 -0.0327594 +/- 0.00424475 0.0721152 +/- 0.00377552 -0.153231 +/- 0.097352

165.517 +/- 10.7114 19.591 +/- 0.0924445 13.5392 +/- 0.0576704 17.1916 +/- 0.0926248 -0.0291298 +/- 0.0472637 1.36731 +/- 0.0780867 -0.106249 +/- 0.00596061 0.05675 +/- 0.00419843 -0.0370968 +/- 0.00535439 0.107932 +/- 0.00432698 -0.196931 +/- 0.100435

114.034 +/- 11.2798 16.416 +/- 0.0957527 11.0771 +/- 0.0614452 14.2938 +/- 0.0982924 -0.0354756 +/- 0.0488298 0.900532 +/- 0.0851491 -0.139669 +/- 0.00743565 0.069284 +/- 0.00558775 -0.0577215 +/- 0.00670652 0.118354 +/- 0.0056541 -0.0979055 +/- 0.103081

Figure 20 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 39 GeV
eps | pdf | png
Azimuthally-integrated

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²)

341.655 +/- 0 28.2744 +/- 0.14674 20.5603 +/- 0.09749 25.7222 +/- 0.125648 -0.046693 +/- 0.081774 0.052428 +/- 0.101968

293.879 +/- 0 25.4801 +/- 0.139815 18.5662 +/- 0.091361 23.1475 +/- 0.129342 0.024974 +/- 0.082658 -0.189633 +/- 0.102605

229.772 +/- 0 21.7705 +/- 0.096906 16.051 +/- 0.063776 20.39 +/- 0.093117 0.041679 +/- 0.056888 0.049492 +/- 0.071514

162.372 +/- 0 17.8722 +/- 0.098376 13.3403 +/- 0.065798 16.8262 +/- 0.095316 0.024049 +/- 0.057147 -0.06225 +/- 0.071523

111.431 +/- 0 14.5903 +/- 0.108257 10.8624 +/- 0.072202 13.8394 +/- 0.108714 -0.034538 +/- 0.058794 0.048964 +/- 0.074766

HHLW method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

341.655 +/- 2.18472 28.4299 +/- 0.134512 20.5233 +/- 0.0796555 25.8015 +/- 0.112595 -0.0448335 +/- 0.0830415 0.121406 +/- 0.103871 -0.0453423 +/- 0.00468721 0.0153118 +/- 0.00276458 -0.00909249 +/- 0.00312204 0.0342996 +/- 0.00285855 -0.172069 +/- 0.0745169

293.879 +/- 6.41892 25.7139 +/- 0.136694 18.4945 +/- 0.0803108 23.2616 +/- 0.11444 0.0541478 +/- 0.0838917 -0.152282 +/- 0.104741 -0.067224 +/- 0.00534184 0.0224323 +/- 0.00305875 -0.014036 +/- 0.00349386 0.0433778 +/- 0.0031839 0.189455 +/- 0.0754441

229.772 +/- 8.72665 22.1257 +/- 0.094012 16.0286 +/- 0.0558321 20.4869 +/- 0.0816603 0.0034545 +/- 0.0575342 0.155423 +/- 0.0726372 -0.0782134 +/- 0.00424287 0.0404387 +/- 0.00244085 -0.0142299 +/- 0.00286842 0.0723592 +/- 0.00254673 -0.097625 +/- 0.0525384

162.372 +/- 10.1993 18.4179 +/- 0.0951135 13.2974 +/- 0.0567354 16.8687 +/- 0.0826152 0.011474 +/- 0.0583159 -0.135689 +/- 0.0729639 -0.107368 +/- 0.00521736 0.0554091 +/- 0.00298518 -0.0106469 +/- 0.00351907 0.10523 +/- 0.0031239 0.16779 +/- 0.0529667

111.431 +/- 10.8237 15.1476 +/- 0.101752 10.8042 +/- 0.0591496 13.8838 +/- 0.0896187 -0.00836575 +/- 0.0601463 0.048521 +/- 0.077544 -0.12696 +/- 0.00711993 0.0600868 +/- 0.00391203 -0.0296045 +/- 0.0047128 0.108274 +/- 0.00379852 -0.13805 +/- 0.0577973

Global fit method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

293.879 +/- 6.41892 25.7814 +/- 0.148888 18.5303 +/- 0.099927 23.3822 +/- 0.140158 0.0489903 +/- 0.0823198 -0.219461 +/- 0.120416 -0.0680151 +/- 0.00784046 0.0223194 +/- 0.00541026 -0.0288306 +/- 0.0060955 0.0492647 +/- 0.00644585 0.443398 +/- 0.198146

229.772 +/- 8.72665 22.1782 +/- 0.105011 16.0433 +/- 0.0662341 20.5411 +/- 0.0995615 0.0444663 +/- 0.0562507 0.163896 +/- 0.0767497 -0.0769175 +/- 0.00572285 0.0385097 +/- 0.00408261 -0.0221149 +/- 0.00484615 0.0760922 +/- 0.00429354 -0.134456 +/- 0.0995332

162.372 +/- 10.1993 18.5153 +/- 0.102616 13.3119 +/- 0.0728526 16.9289 +/- 0.100501 -0.00234689 +/- 0.0560322 -0.168044 +/- 0.0787787 -0.10812 +/- 0.00660064 0.0521765 +/- 0.00479926 -0.0203195 +/- 0.00531632 0.108067 +/- 0.00494216 0.258861 +/- 0.094509

111.431 +/- 10.8237 15.176 +/- 0.115119 10.7969 +/- 0.0751719 13.985 +/- 0.107965 0.00500203 +/- 0.0573711 0.0157477 +/- 0.0857212 -0.109479 +/- 0.00866424 0.0574959 +/- 0.00631947 -0.0470528 +/- 0.00693138 0.11597 +/- 0.00673754 -0.0324586 +/- 0.100705

Figure 21 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 39 GeV
eps | pdf | png
Midrapidity: -0.5 < y < 0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

293.879 +/- 6.41892 25.7814 +/- 0.148888 18.5303 +/- 0.099927 23.3822 +/- 0.140158 0.0489903 +/- 0.0823198 -0.219461 +/- 0.120416 -0.0680151 +/- 0.00784046 0.0223194 +/- 0.00541026 -0.0288306 +/- 0.0060955 0.0492647 +/- 0.00644585 0.443398 +/- 0.198146

229.772 +/- 8.72665 22.1782 +/- 0.105011 16.0433 +/- 0.0662341 20.5411 +/- 0.0995615 0.0444663 +/- 0.0562507 0.163896 +/- 0.0767497 -0.0769175 +/- 0.00572285 0.0385097 +/- 0.00408261 -0.0221149 +/- 0.00484615 0.0760922 +/- 0.00429354 -0.134456 +/- 0.0995332

162.372 +/- 10.1993 18.5153 +/- 0.102616 13.3119 +/- 0.0728526 16.9289 +/- 0.100501 -0.00234689 +/- 0.0560322 -0.168044 +/- 0.0787787 -0.10812 +/- 0.00660064 0.0521765 +/- 0.00479926 -0.0203195 +/- 0.00531632 0.108067 +/- 0.00494216 0.258861 +/- 0.094509

111.431 +/- 10.8237 15.176 +/- 0.115119 10.7969 +/- 0.0751719 13.985 +/- 0.107965 0.00500203 +/- 0.0573711 0.0157477 +/- 0.0857212 -0.109479 +/- 0.00866424 0.0574959 +/- 0.00631947 -0.0470528 +/- 0.00693138 0.11597 +/- 0.00673754 -0.0324586 +/- 0.100705

Backwards rapidity: -1 < y < -0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

293.879 +/- 6.41892 27.1046 +/- 0.241013 19.134 +/- 0.163499 25.0708 +/- 0.245693 0.0100473 +/- 0.137155 -1.63143 +/- 0.190762 -0.0655686 +/- 0.0135646 0.0308544 +/- 0.00931956 -0.0208369 +/- 0.0115147 0.0499542 +/- 0.010226 -0.153347 +/- 0.315716

229.772 +/- 8.72665 23.6249 +/- 0.174909 16.5265 +/- 0.112325 21.8946 +/- 0.184558 0.0366666 +/- 0.0949661 -1.58631 +/- 0.131736 -0.063213 +/- 0.00978132 0.0416099 +/- 0.00668665 -0.0209364 +/- 0.00859845 0.0709194 +/- 0.00695141 -0.240861 +/- 0.170896

162.372 +/- 10.1993 19.5759 +/- 0.177428 13.7615 +/- 0.113606 17.9803 +/- 0.188152 -0.103507 +/- 0.0941567 -1.11805 +/- 0.134878 -0.091461 +/- 0.01118 0.0455939 +/- 0.00778761 -0.0203965 +/- 0.0104054 0.0832438 +/- 0.00816898 0.0707053 +/- 0.168661

111.431 +/- 10.8237 16.4714 +/- 0.188969 10.9932 +/- 0.121289 14.6814 +/- 0.196365 -0.0980445 +/- 0.0963927 -0.882577 +/- 0.148435 -0.149767 +/- 0.0145033 0.0971592 +/- 0.0107704 -0.0273409 +/- 0.0136351 0.115877 +/- 0.0107466 0.275699 +/- 0.175879

Forward rapidity: 0.5 < y < 1

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

293.879 +/- 6.41892 27.5098 +/- 0.222819 19.304 +/- 0.149123 25.2828 +/- 0.234171 0.0738375 +/- 0.122216 1.92924 +/- 0.176904 -0.0758408 +/- 0.0115874 0.038778 +/- 0.00884557 -0.0191346 +/- 0.00995107 0.0610925 +/- 0.00872087 0.412665 +/- 0.285595

229.772 +/- 8.72665 23.9063 +/- 0.149124 17.0319 +/- 0.104683 22.298 +/- 0.156545 0.114701 +/- 0.0848065 1.45048 +/- 0.123842 -0.0850222 +/- 0.00818906 0.0357017 +/- 0.00580344 -0.0214179 +/- 0.00709653 0.0642348 +/- 0.00615058 -0.246863 +/- 0.164263

162.372 +/- 10.1993 19.8301 +/- 0.160849 13.8514 +/- 0.0992215 18.3887 +/- 0.170509 -0.130995 +/- 0.0834869 0.994556 +/- 0.132399 -0.111505 +/- 0.0107538 0.0541851 +/- 0.00664906 -0.0176797 +/- 0.00914758 0.0865927 +/- 0.00698704 0.194576 +/- 0.171903

111.431 +/- 10.8237 16.2594 +/- 0.163484 11.4725 +/- 0.10983 14.9584 +/- 0.172643 -0.0264499 +/- 0.0850524 0.657952 +/- 0.134476 -0.115803 +/- 0.0126833 0.0710036 +/- 0.00918144 -0.055542 +/- 0.0107384 0.121311 +/- 0.00899548 -0.134033 +/- 0.162605

Figure 22 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 62.4 GeV
eps | pdf | png
Azimuthally-integrated

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²)

344.472 +/- 0 28.3375 +/- 0.118052 20.8905 +/- 0.077031 26.8536 +/- 0.112459 -0.023342 +/- 0.070534 0.045589 +/- 0.089359

296.577 +/- 0 25.4769 +/- 0.122255 19.0298 +/- 0.08287 24.4955 +/- 0.121518 0.01287 +/- 0.069477 0.055317 +/- 0.088175

232.15 +/- 0 21.9285 +/- 0.080861 16.4328 +/- 0.054313 21.1899 +/- 0.084235 -0.070002 +/- 0.0478 0.106886 +/- 0.060504

164.448 +/- 0 17.7177 +/- 0.084584 13.548 +/- 0.059188 17.5019 +/- 0.086905 0.044364 +/- 0.047427 -0.059055 +/- 0.059978

113.388 +/- 0 14.4336 +/- 0.085184 11.0937 +/- 0.061293 14.1932 +/- 0.086518 -0.006588 +/- 0.049271 -0.051379 +/- 0.062103

HHLW method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

344.472 +/- 2.10748 28.423 +/- 0.113852 20.9348 +/- 0.0686617 26.9386 +/- 0.0997778 0.0121085 +/- 0.0713603 0.0656715 +/- 0.0902823 -0.0249012 +/- 0.00394335 -0.0020958 +/- 0.00232867 -0.00990681 +/- 0.0026538 0.019887 +/- 0.00238491 0.136354 +/- 0.0648619

296.577 +/- 5.91395 25.7882 +/- 0.113463 19.0825 +/- 0.068543 24.6052 +/- 0.0993868 0.00683875 +/- 0.0706733 0.0685658 +/- 0.0892952 -0.0611921 +/- 0.00426695 0.0203183 +/- 0.00253005 -0.00257669 +/- 0.00284279 0.0535521 +/- 0.00260044 0.0829087 +/- 0.0636649

232.15 +/- 8.15257 22.2041 +/- 0.0783595 16.4755 +/- 0.0477643 21.234 +/- 0.0693157 -0.0953335 +/- 0.0486924 0.104245 +/- 0.0612019 -0.0702391 +/- 0.00343421 0.0364587 +/- 0.00203267 -0.00925403 +/- 0.0023381 0.0737264 +/- 0.00211523 -0.00902175 +/- 0.0440883

164.448 +/- 9.93858 18.2708 +/- 0.0798469 13.4357 +/- 0.0482629 17.5607 +/- 0.0712608 0.0541665 +/- 0.0487367 -0.0778707 +/- 0.061881 -0.126242 +/- 0.00445146 0.0490895 +/- 0.00252074 -0.011298 +/- 0.00291157 0.0948696 +/- 0.00254799 -0.02076 +/- 0.0452779

113.388 +/- 10.8304 15.0374 +/- 0.0843697 10.9936 +/- 0.0505167 14.3562 +/- 0.0761447 0.0430858 +/- 0.0503848 -0.0642942 +/- 0.0648085 -0.144641 +/- 0.00585191 0.0691152 +/- 0.00323157 -0.0235143 +/- 0.00385156 0.110236 +/- 0.00322445 0.0582848 +/- 0.0481464

Global fit method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

296.577 +/- 5.91395 25.8417 +/- 0.130163 19.0439 +/- 0.087186 24.6236 +/- 0.12292 -0.0172666 +/- 0.0692007 0.0430209 +/- 0.0969328 -0.0627466 +/- 0.00633689 0.0207561 +/- 0.00457238 -0.0156833 +/- 0.00509344 0.0575938 +/- 0.00498391 0.208346 +/- 0.156137

232.15 +/- 8.15257 22.2552 +/- 0.0834568 16.4696 +/- 0.0601209 21.2628 +/- 0.0850216 -0.12076 +/- 0.0473834 0.0883725 +/- 0.0640408 -0.0732021 +/- 0.00456192 0.0352122 +/- 0.00329176 -0.0155855 +/- 0.0035553 0.0764931 +/- 0.00336684 0.0172467 +/- 0.0801126

164.448 +/- 9.93858 18.3143 +/- 0.0859191 13.4563 +/- 0.0599709 17.6381 +/- 0.0904415 0.0500492 +/- 0.0464744 -0.075787 +/- 0.0649939 -0.1183 +/- 0.00509579 0.0477209 +/- 0.00397158 -0.0221462 +/- 0.00459431 0.100318 +/- 0.00377801 -0.0519269 +/- 0.0722111

113.388 +/- 10.8304 15.0786 +/- 0.092949 11.0046 +/- 0.0611371 14.4456 +/- 0.0874436 0.016501 +/- 0.0480817 -0.0798826 +/- 0.070887 -0.130913 +/- 0.00664099 0.0666009 +/- 0.00541938 -0.0370734 +/- 0.00545904 0.115428 +/- 0.0052371 0.127396 +/- 0.0791068

Figure 23 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 62.4 GeV
eps | pdf | png
Midrapidity: -0.5 < y < 0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

296.577 +/- 5.91395 25.8417 +/- 0.130163 19.0439 +/- 0.087186 24.6236 +/- 0.12292 -0.0172666 +/- 0.0692007 0.0430209 +/- 0.0969328 -0.0627466 +/- 0.00633689 0.0207561 +/- 0.00457238 -0.0156833 +/- 0.00509344 0.0575938 +/- 0.00498391 0.208346 +/- 0.156137

232.15 +/- 8.15257 22.2552 +/- 0.0834568 16.4696 +/- 0.0601209 21.2628 +/- 0.0850216 -0.12076 +/- 0.0473834 0.0883725 +/- 0.0640408 -0.0732021 +/- 0.00456192 0.0352122 +/- 0.00329176 -0.0155855 +/- 0.0035553 0.0764931 +/- 0.00336684 0.0172467 +/- 0.0801126

164.448 +/- 9.93858 18.3143 +/- 0.0859191 13.4563 +/- 0.0599709 17.6381 +/- 0.0904415 0.0500492 +/- 0.0464744 -0.075787 +/- 0.0649939 -0.1183 +/- 0.00509579 0.0477209 +/- 0.00397158 -0.0221462 +/- 0.00459431 0.100318 +/- 0.00377801 -0.0519269 +/- 0.0722111

113.388 +/- 10.8304 15.0786 +/- 0.092949 11.0046 +/- 0.0611371 14.4456 +/- 0.0874436 0.016501 +/- 0.0480817 -0.0798826 +/- 0.070887 -0.130913 +/- 0.00664099 0.0666009 +/- 0.00541938 -0.0370734 +/- 0.00545904 0.115428 +/- 0.0052371 0.127396 +/- 0.0791068

Backwards rapidity: -1 < y < -0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

296.577 +/- 5.91395 27.9551 +/- 0.207049 19.6754 +/- 0.136256 26.2042 +/- 0.213403 0.053486 +/- 0.117968 -1.91013 +/- 0.166073 -0.0809076 +/- 0.0105662 0.0228086 +/- 0.00748589 -0.0253344 +/- 0.00873527 0.0332616 +/- 0.00835132 -0.12831 +/- 0.227687

232.15 +/- 8.15257 23.5208 +/- 0.144027 17.2238 +/- 0.0958356 23.075 +/- 0.150252 -0.192897 +/- 0.0791006 -1.26029 +/- 0.111212 -0.0788026 +/- 0.00748403 0.0409182 +/- 0.00523818 -0.0284994 +/- 0.0061955 0.0785419 +/- 0.00540376 0.136466 +/- 0.136799

164.448 +/- 9.93858 19.7961 +/- 0.142771 14.0157 +/- 0.0950681 18.927 +/- 0.153715 -0.155067 +/- 0.0791059 -1.11727 +/- 0.111802 -0.0807073 +/- 0.0089575 0.0510129 +/- 0.00630015 -0.0100208 +/- 0.00788218 0.0957833 +/- 0.00629617 -0.396547 +/- 0.125376

113.388 +/- 10.8304 16.4026 +/- 0.156461 11.5328 +/- 0.105228 15.4831 +/- 0.175008 0.0618457 +/- 0.0813403 -0.671665 +/- 0.123279 -0.122004 +/- 0.0114731 0.0777148 +/- 0.00856603 -0.0302823 +/- 0.0107424 0.110684 +/- 0.00807258 -0.129076 +/- 0.147999

Forward rapidity: 0.5 < y < 1

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

296.577 +/- 5.91395 27.0757 +/- 0.199597 19.434 +/- 0.130443 25.9992 +/- 0.209027 -0.0808065 +/- 0.105575 1.42614 +/- 0.197398 -0.055159 +/- 0.0127951 0.024335 +/- 0.00697644 -0.035972 +/- 0.0081804 0.0419995 +/- 0.00763102 0.189761 +/- 0.328953

232.15 +/- 8.15257 23.6813 +/- 0.133029 17.2378 +/- 0.0869063 23.2368 +/- 0.14439 -0.0217932 +/- 0.0727797 1.29022 +/- 0.106183 -0.081906 +/- 0.00673557 0.0398621 +/- 0.00477418 -0.0314167 +/- 0.00583299 0.06636 +/- 0.00496388 -0.209806 +/- 0.129571

164.448 +/- 9.93858 19.8669 +/- 0.130997 14.1673 +/- 0.0933875 18.6829 +/- 0.140023 0.113101 +/- 0.0722471 0.905101 +/- 0.105196 -0.10887 +/- 0.00796187 0.05433 +/- 0.00566366 -0.0122522 +/- 0.00715628 0.103493 +/- 0.00575485 0.00239372 +/- 0.124314

113.388 +/- 10.8304 16.6469 +/- 0.147998 11.7498 +/- 0.0938819 15.1093 +/- 0.155146 -0.0645294 +/- 0.0747841 0.543474 +/- 0.115356 -0.142596 +/- 0.0101327 0.066837 +/- 0.00744563 -0.0323922 +/- 0.00949045 0.122627 +/- 0.00762701 0.179665 +/- 0.1325

Figure 24 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 200 GeV
eps | pdf | png
Azimuthally-integrated

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²)

349.645 +/- 0 27.1269 +/- 0.099583 22.1709 +/- 0.070656 29.8561 +/- 0.106644 -0.039437 +/- 0.062902 0.213772 +/- 0.079998

302.225 +/- 0 24.7938 +/- 0.09588 20.1736 +/- 0.06862 26.9186 +/- 0.102462 0.047931 +/- 0.05989 -0.039619 +/- 0.076309

237.268 +/- 0 21.2094 +/- 0.065437 17.5627 +/- 0.047898 23.1952 +/- 0.070739 -0.004757 +/- 0.040917 0.093663 +/- 0.051802

169.037 +/- 0 17.5476 +/- 0.066143 14.6109 +/- 0.04905 19.3647 +/- 0.076642 0.033344 +/- 0.040716 0.006047 +/- 0.051562

116.735 +/- 0 14.2947 +/- 0.068708 11.9671 +/- 0.051219 16.0641 +/- 0.077075 0.022499 +/- 0.041333 -0.006411 +/- 0.052758

HHLW method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

349.645 +/- 2.10277 27.3493 +/- 0.0970624 22.1907 +/- 0.0629635 29.8771 +/- 0.0952941 -0.047246 +/- 0.0637051 0.276701 +/- 0.0809735 -0.0327356 +/- 0.0031213 -0.000305308 +/- 0.00200573 -0.00275546 +/- 0.0022602 0.0274187 +/- 0.00202135 -0.322638 +/- 0.0577131

302.225 +/- 6.06888 25.0687 +/- 0.0927238 20.2028 +/- 0.0604922 26.9575 +/- 0.0903273 0.072274 +/- 0.0604753 -0.0700227 +/- 0.0766198 -0.0552337 +/- 0.00330616 0.0185173 +/- 0.00211153 0.00866178 +/- 0.00238625 0.0502613 +/- 0.0021033 0.105387 +/- 0.0549008

237.268 +/- 8.51684 21.4728 +/- 0.0630653 17.5066 +/- 0.0422153 23.1984 +/- 0.0620794 0.0237958 +/- 0.0414958 0.086152 +/- 0.0523029 -0.0694695 +/- 0.00260788 0.0323064 +/- 0.00168839 -0.00607693 +/- 0.00189842 0.0637424 +/- 0.00167727 0.0675805 +/- 0.0376202

169.037 +/- 10.5257 17.9988 +/- 0.0644164 14.5724 +/- 0.0426043 19.5465 +/- 0.0637227 0.030519 +/- 0.0415098 0.0108997 +/- 0.0528205 -0.0978222 +/- 0.00320843 0.0465625 +/- 0.00205243 -0.00897861 +/- 0.00232415 0.0812432 +/- 0.00201715 0.0653365 +/- 0.0382487

116.735 +/- 11.0607 14.7911 +/- 0.0667333 11.8481 +/- 0.0436202 16.1566 +/- 0.0673117 -0.0767528 +/- 0.0419609 -0.043277 +/- 0.054472 -0.116892 +/- 0.00413424 0.0606279 +/- 0.00254667 -0.0116516 +/- 0.00297216 0.10042 +/- 0.00253534 0.0509415 +/- 0.0395729

Global fit method

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

302.225 +/- 6.06888 25.0762 +/- 0.09991 20.2026 +/- 0.0702031 26.9448 +/- 0.104023 0.0500507 +/- 0.0594825 -0.0820447 +/- 0.0778689 -0.0532852 +/- 0.00524804 0.01733 +/- 0.00360637 0.00579871 +/- 0.00400447 0.0555919 +/- 0.0035171 0.140597 +/- 0.104265

237.268 +/- 8.51684 21.516 +/- 0.0659492 17.5097 +/- 0.051733 23.2205 +/- 0.0717489 0.039445 +/- 0.0404506 0.0827739 +/- 0.0537728 -0.0690908 +/- 0.0032321 0.0322599 +/- 0.00248327 -0.0115545 +/- 0.00271409 0.0688613 +/- 0.00242078 0.0783838 +/- 0.0584306

169.037 +/- 10.5257 18.0417 +/- 0.0674637 14.5611 +/- 0.0502123 19.5491 +/- 0.0731972 0.0552891 +/- 0.0400573 -0.00334062 +/- 0.054609 -0.0978848 +/- 0.00367568 0.0461257 +/- 0.00291572 -0.0148568 +/- 0.00325422 0.0861741 +/- 0.00282947 0.102917 +/- 0.0554971

116.735 +/- 11.0607 14.8581 +/- 0.069459 11.8467 +/- 0.0541112 16.19 +/- 0.0812111 -0.0234743 +/- 0.0404219 -0.0503205 +/- 0.0573425 -0.119761 +/- 0.00469321 0.0590863 +/- 0.00392624 -0.0188104 +/- 0.00404218 0.102164 +/- 0.0035262 0.0690939 +/- 0.0588276

Figure 25 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 200 GeV
eps | pdf | png
Midrapidity: -0.5 < y < 0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

302.225 +/- 6.06888 25.0762 +/- 0.09991 20.2026 +/- 0.0702031 26.9448 +/- 0.104023 0.0500507 +/- 0.0594825 -0.0820447 +/- 0.0778689 -0.0532852 +/- 0.00524804 0.01733 +/- 0.00360637 0.00579871 +/- 0.00400447 0.0555919 +/- 0.0035171 0.140597 +/- 0.104265

237.268 +/- 8.51684 21.516 +/- 0.0659492 17.5097 +/- 0.051733 23.2205 +/- 0.0717489 0.039445 +/- 0.0404506 0.0827739 +/- 0.0537728 -0.0690908 +/- 0.0032321 0.0322599 +/- 0.00248327 -0.0115545 +/- 0.00271409 0.0688613 +/- 0.00242078 0.0783838 +/- 0.0584306

169.037 +/- 10.5257 18.0417 +/- 0.0674637 14.5611 +/- 0.0502123 19.5491 +/- 0.0731972 0.0552891 +/- 0.0400573 -0.00334062 +/- 0.054609 -0.0978848 +/- 0.00367568 0.0461257 +/- 0.00291572 -0.0148568 +/- 0.00325422 0.0861741 +/- 0.00282947 0.102917 +/- 0.0554971

116.735 +/- 11.0607 14.8581 +/- 0.069459 11.8467 +/- 0.0541112 16.19 +/- 0.0812111 -0.0234743 +/- 0.0404219 -0.0503205 +/- 0.0573425 -0.119761 +/- 0.00469321 0.0590863 +/- 0.00392624 -0.0188104 +/- 0.00404218 0.102164 +/- 0.0035262 0.0690939 +/- 0.0588276

Backwards rapidity: -1 < y < -0.5

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

+/- +/- +/- +/- +/- +/-

302.225 +/- 6.06888 26.3666 +/- 0.167364 21.2575 +/- 0.131982 28.4907 +/- 0.198546 -0.114025 +/- 0.103252 -0.909886 +/- 0.138952 -0.0534343 +/- 0.00786456 0.0156279 +/- 0.00592778 -0.00726135 +/- 0.00717255 0.0306966 +/- 0.00582445 -0.0299795 +/- 0.182441

237.268 +/- 8.51684 23.0496 +/- 0.115101 18.5355 +/- 0.0858551 24.8967 +/- 0.135433 -0.020303 +/- 0.0698704 -0.837651 +/- 0.0956159 -0.0728688 +/- 0.00541772 0.0262124 +/- 0.00416751 -0.00408134 +/- 0.00484716 0.0582169 +/- 0.00393162 0.196602 +/- 0.105293

169.037 +/- 10.5257 19.6822 +/- 0.118259 15.5877 +/- 0.0887798 20.8933 +/- 0.144853 0.0999702 +/- 0.0700928 -0.61931 +/- 0.0958588 -0.0812211 +/- 0.00622516 0.0518638 +/- 0.00476258 -0.0147181 +/- 0.00570159 0.0881182 +/- 0.00456572 -0.162498 +/- 0.0969716

116.735 +/- 11.0607 16.4258 +/- 0.130979 12.6809 +/- 0.0922673 17.2892 +/- 0.156503 0.009082 +/- 0.0713166 -0.73719 +/- 0.104071 -0.102832 +/- 0.00806206 0.0557322 +/- 0.00631356 -0.044138 +/- 0.00747032 0.10513 +/- 0.00598925 0.140662 +/- 0.105668

Forward rapidity: 0.5 < y < 1

Npart R²_o,0 (fm²) R²_s,0 (fm²) R²_l,0 (fm²) R²_os,0 (fm²) R²_ol,0 (fm²) R²_o,2/R²_s,0 R²_s,2/R²_s,0 R²_l,2/R²_l,0 R²_os,2/R²_s,0 R²_ol,2 (fm²)

302.225 +/- 6.06888 26.6937 +/- 0.162902 21.316 +/- 0.112388 29.0104 +/- 0.187219 0.0146176 +/- 0.0927583 1.04871 +/- 0.128373 -0.0533627 +/- 0.00720816 0.0146232 +/- 0.00512889 -0.00594535 +/- 0.00644387 0.0488506 +/- 0.00523865 -0.331571 +/- 0.165378

237.268 +/- 8.51684 23.4291 +/- 0.106038 18.7923 +/- 0.0784668 25.5972 +/- 0.124034 -0.0421246 +/- 0.0641278 0.676055 +/- 0.0884412 -0.0605248 +/- 0.00487528 0.0254571 +/- 0.00362371 -0.00716746 +/- 0.00444234 0.0600139 +/- 0.00361941 0.138976 +/- 0.0957139

169.037 +/- 10.5257 19.7903 +/- 0.105485 15.6282 +/- 0.078061 21.3933 +/- 0.127438 -0.00140808 +/- 0.0632067 0.549151 +/- 0.0897455 -0.0853892 +/- 0.00559142 0.0411985 +/- 0.00427044 -0.0224394 +/- 0.00495784 0.0794992 +/- 0.00404101 0.0163171 +/- 0.0908666

116.735 +/- 11.0607 16.5217 +/- 0.112837 12.9496 +/- 0.0832675 17.4617 +/- 0.133973 0.034548 +/- 0.06421 0.591294 +/- 0.0941562 -0.11039 +/- 0.00705175 0.0551383 +/- 0.00562144 -0.0204788 +/- 0.00665482 0.102541 +/- 0.00520535 -0.111848 +/- 0.0973053

Figure 26 - Out-long radius versus collision energy
eps | pdf | png
10-20% central 0.5 < y <1
root(s) (GeV) R²_ol (fm²)

7.7 3.96572 +- 0.275213

11.5 3.41765 +- 0.207946

19.6 1.98354 +- 0.116615

27 1.78165 +- 0.07015

39 1.45048 +- 0.123842

62.4 1.29022 +- 0.106183

200 0.676055 +- 0.0884412

30-40% central 0.5 < y < 1
root(s) (GeV) R²_ol (fm²)

7.7 2.43085 +- 0.370869

11.5 1.88137 +- 0.220861

19.6 0.959741 +- 0.110957

27 0.900532 +- 0.0851491

39 0.657952 +- 0.134476

62.4 0.543474 +- 0.115356

200 0.591294 +- 0.0941562

10-20% central -1 < y < -0.5
root(s) (GeV) R²_ol (fm²)

7.7 -4.34154 +- 0.281747

11.5 -2.97045 +- 0.145666

19.6 -1.99373 +- 0.0939873

27 -1.67729 +- 0.0664696

39 -1.58631 +- 0.131736

62.4 -1.26029 +- 0.111212

200 -0.837651 +- 0.0956159

30-40% central -1 < y < -0.5
root(s) (GeV) R²_ol (fm²)

7.7 -2.92355 +- 0.344615

11.5 -1.50056 +- 0.175615

19.6 -1.15652 +- 0.111737

27 -0.787957 +- 0.0750612

39 -0.882577 +- 0.148435

62.4 -0.671665 +- 0.123279

200 -0.73719 +- 0.104071

Figure 27 - Final versus initial eccentricity
eps | pdf | png

7.7 GeV
centrality eps [initial] eps [final]

10-20% 0.20387 +- 0.01604 0.122126 +- 0.0254669

20-30% 0.28836 +- 0.02394 0.126863 +- 0.0290792

30-50% 0.36096 +- 0.02807 0.16953 +- 0.0395716

11.5 GeV
centrality eps [initial] eps [final]

5-10% 0.13327 +- 0.00892 0.0758991 +- 0.0141551

10-20% 0.20392 +- 0.01628 0.0859683 +- 0.010871

20-30% 0.2886 +- 0.02303 0.130509 +- 0.0133758

30-50% 0.36044 +- 0.02782 0.136297 +- 0.0199713

19.6 GeV
centrality eps [initial] eps [final]

5-10% 0.13551 +- 0.00916 0.0519184 +- 0.00918003

10-20% 0.20482 +- 0.01654 0.0904261 +- 0.00668115

20-30% 0.28944 +- 0.02395 0.124677 +- 0.00822429

30-50% 0.36284 +- 0.02815 0.129993 +- 0.0113333

27 GeV
centrality eps [initial] eps [final]

5-10% 0.12602 +- 0.00857 0.0560972 +- 0.00625413

10-20% 0.19661 +- 0.01654 0.07497 +- 0.00456289

20-30% 0.28283 +- 0.02402 0.12263 +- 0.00545924

30-50% 0.35636 +- 0.02863 0.136296 +- 0.00722476

39 GeV
centrality eps [initial] eps [final]

5-10% 0.12993 +- 0.00827 0.0446388 +- 0.0108205

10-20% 0.19884 +- 0.01614 0.0770194 +- 0.00816523

20-30% 0.28281 +- 0.02366 0.104353 +- 0.00959852

30-50% 0.35599 +- 0.02729 0.114992 +- 0.0126389

62.4 GeV
centrality eps [initial] eps [final]

5-10% 0.12764 +- 0.00828 0.0415123 +- 0.00914477

10-20% 0.19529 +- 0.01594 0.0704244 +- 0.00658353

20-30% 0.27905 +- 0.02233 0.0954418 +- 0.00794316

30-50% 0.35111 +- 0.02685 0.133202 +- 0.0108388

200 GeV
centrality eps [initial] eps [final]

5-10% 0.12159 +- 0.00727 0.03466 +- 0.00721274

10-20% 0.18725 +- 0.01486 0.0645199 +- 0.00496654

20-30% 0.2678 +- 0.02243 0.0922514 +- 0.00583144

30-50% 0.34011 +- 0.02636 0.118173 +- 0.00785248

Figure 28 - Final eccentricity excitation function
eps | pdf | png
epsilon versus energy and c.m. rapidity range

Experiment root(s) (GeV) -1.0<y<-0.5 -0.5<y<0.5 (*) 0.5<y<1.0

E895 2.347 - 0.179 +- 0.076 -

E895 3.04 - 0.25 +- 0.076 -

E895 3.6087 - 0.274 +- 0.148 -

STAR 7.7 0.155617 +- 0.0318048 0.124495 +- 0.0193272 0.126942 +- 0.030284

STAR 11.5 0.115146 +- 0.0159291 0.108239 +- 0.00861814 0.11899 +- 0.0134858

CERES 17.3 0.0427 +- 0.0192 - -

STAR 19.6 0.111729 +- 0.00826121 0.107551 +- 0.00529804 0.114315 +- 0.00814768

STAR 27 0.0906223 +- 0.00532969 0.0987999 +- 0.0035575 0.0924571 +- 0.00547269

STAR 39 0.0872038 +- 0.0102644 0.0906863 +- 0.00630084 0.0898868 +- 0.00882553

STAR 62.4 0.0919311 +- 0.00819332 0.0829331 +- 0.00515841 0.0941921 +- 0.00740742

STAR 200 0.0780762 +- 0.00632853 0.0783857 +- 0.00382989 0.0666556 +- 0.00560071

(*) For E895, the midrapidity cut range was -0.6<y<0.6

UrQMD

root(sNN) (GeV) epsilon

2.7 0.221

3.32 0.181

3.84 0.167

4.3 0.155

6.41 0.14

7.73 0.1371

11.5 0.1346

17 0.121

39 0.099

62.4 0.092

130 0.085

200 0.077

5500 0.049

(2+1)D hydro EOS-Q

root(sNN) (GeV) epsilon

10 0.227

20 0.201

40 0.172

62 0.144

130 0.117

200 0.0875

2500 -0.0035

31224 -0.055

301010 -0.084

(2+1)D hydro EOS-H

root(sNN) (GeV) epsilon

10 0.213

20 0.185

40 0.161

62 0.149

200 0.116

2500 0.068

31224 0.03

301010 0.0004

(2+1)D hydro EOS-I

root(sNN) (GeV) epsilon

10 0.258

20 0.234

40 0.212

62 0.2

200 0.17

2500 0.122

31224 0.089

301010 0.063

(2+1)D hydro MC-KLN

root(sNN) (GeV) epsilon

7.7 0.214648

11.5 0.188831

17.7 0.166228

19.9 0.161886

27 0.14835

39 0.134318

63 0.126471

200 0.087156

2760 0.0163505

5500 -0.00202692

(2+1)D hydro MC-GLB

root(sNN) (GeV) epsilon

7.7 0.175578

11.5 0.157122

17.7 0.140044

19.9 0.136336

27 0.125385

39 0.11424

63 0.105999

200 0.0739232

2760 0.00646868

5500 0

Centrality	7.7 GeV	11.5 GeV	19.6 GeV	27 GeV	39 GeV	62.4 GeV	200 GeV
2.5% +/- 2.5%	0.228913 +/- 0.00600148	0.309921 +/- 0.00254953	0.379449 +/- 0.00165998	0.411038 +/- 0.00110326	0.452447 +/- 0.00177987	0.483038 +/- 0.00143532	0.568757 +/- 0.00102626
7.5% +/- 2.5%	0.361014 +/- 0.00359198	0.436305 +/- 0.00169684	0.506435 +/- 0.00116297	0.535728 +/- 0.000760123	0.575764 +/- 0.00124915	0.60677 +/- 0.000985758	0.68853 +/- 0.000679762
15% +/- 5%	0.460842 +/- 0.00180234	0.533357 +/- 0.00088142	0.60304 +/- 0.000598659	0.633474 +/- 0.000392718	0.671081 +/- 0.000642828	0.702087 +/- 0.000498835	0.777469 +/- 0.000333885
25% +/- 5%	0.487466 +/- 0.00167042	0.557636 +/- 0.000819627	0.625955 +/- 0.000551855	0.658535 +/- 0.000359048	0.694423 +/- 0.000585425	0.725618 +/- 0.000456284	0.802481 +/- 0.000296436
35% +/- 5%	0.443088 +/- 0.00186423	0.512762 +/- 0.000941984	0.578229 +/- 0.000647427	0.61512 +/- 0.000413187	0.650278 +/- 0.000687499	0.684982 +/- 0.000537919	0.77084 +/- 0.000349419
45% +/- 5%	0.35324 +/- 0.00251698	0.418769 +/- 0.00123852	0.482227 +/- 0.000861226	0.522484 +/- 0.000546177	0.558298 +/- 0.000933789	0.597639 +/- 0.000721514	0.691352 +/- 0.00049583
55% +/- 5%	0.255452 +/- 0.00372035	0.306499 +/- 0.00179972	0.362552 +/- 0.00128129	0.400075 +/- 0.000812569	0.434289 +/- 0.00133439	0.466447 +/- 0.00105836	0.566057 +/- 0.000752038
65% +/- 5%	0.172905 +/- 0.00546952	0.210951 +/- 0.00280238	0.254669 +/- 0.00192086	0.278748 +/- 0.0011989	0.309425 +/- 0.0021068	0.335144 +/- 0.00168634	0.420943 +/- 0.00120597

phi (degrees)	R²_o (fm)	R²_s (fm)	R²_l (fm)	R²_os (fm)	R²_ol (fm)
0	16.1086 +- 0.12145	13.6324 +- 0.08589	15.251 +- 0.110257	0.081804 +- 0.080633	-0.072017 +- 0.096275
45	17.888 +- 0.143439	12.6518 +- 0.08762	15.8374 +- 0.123653	1.57445 +- 0.088914	-0.04961 +- 0.109901
90	19.4379 +- 0.166004	11.7969 +- 0.086532	15.7127 +- 0.130976	0.056834 +- 0.095244	-0.04253 +- 0.121552
135	17.8953 +- 0.14216	12.5882 +- 0.085219	15.4571 +- 0.120172	-1.33469 +- 0.085575	0.017272 +- 0.108072
180	16.1086 +- 0.12145	13.6324 +- 0.08589	15.251 +- 0.110257	0.081804 +- 0.080633	-0.072017 +- 0.096275

q (GeV/c)	C(q_o) data	C(q_o) fit	C(q_s) data	C(q_s) fit	C(q_l) data	C(q_l) fit
-0.195	0.988085 +- 0.00388725	0.993681 +- 0.00160101	1.00292 +- 0.00258712	0.99931 +- 0.00105171	0.995176 +- 0.0039182	0.999309 +- 0.00160677
-0.185	0.987059 +- 0.00381092	0.993042 +- 0.00157036	0.994888 +- 0.00256348	0.999237 +- 0.00104563	0.987406 +- 0.00375332	0.999237 +- 0.00154438
-0.175	0.986888 +- 0.00374152	0.992343 +- 0.00153935	0.998959 +- 0.00255588	0.999142 +- 0.00104111	1.00055 +- 0.00363836	0.999141 +- 0.00149072
-0.165	0.982034 +- 0.00366562	0.991571 +- 0.00151096	0.991703 +- 0.00253581	0.999054 +- 0.00103589	0.997708 +- 0.00352198	0.999052 +- 0.00144212
-0.155	0.980738 +- 0.00359515	0.990691 +- 0.00148039	0.997324 +- 0.00253442	0.998965 +- 0.00103379	0.998959 +- 0.00341105	0.998959 +- 0.00139791
-0.145	0.990384 +- 0.00354523	0.989725 +- 0.00145279	0.998577 +- 0.0025248	0.998846 +- 0.00102983	1.00493 +- 0.00333908	0.998826 +- 0.00136346
-0.135	0.990488 +- 0.00347617	0.988644 +- 0.0014239	0.997404 +- 0.00251719	0.998768 +- 0.00102755	1.00548 +- 0.00324481	0.998708 +- 0.00132522
-0.125	0.987434 +- 0.00341001	0.987517 +- 0.00139565	0.996548 +- 0.00250809	0.998849 +- 0.00102562	1.00348 +- 0.00316632	0.998685 +- 0.00129273
-0.115	0.977892 +- 0.00334596	0.986434 +- 0.00137318	0.992686 +- 0.00249868	0.999379 +- 0.00102315	1.00122 +- 0.00308553	0.998976 +- 0.00126179
-0.105	0.984162 +- 0.00329222	0.985848 +- 0.00134652	0.9994 +- 0.00249857	1.00088 +- 0.00102138	1.01162 +- 0.0030392	0.999978 +- 0.0012362
-0.095	0.991774 +- 0.00323984	0.986592 +- 0.00132161	1.00676 +- 0.00249832	1.00426 +- 0.00102117	1.014 +- 0.00296574	1.00247 +- 0.00120748
-0.085	0.988364 +- 0.003177	0.990424 +- 0.00130219	1.00327 +- 0.00248975	1.01195 +- 0.00102381	1.01772 +- 0.002913	1.00875 +- 0.00118841
-0.075	0.998148 +- 0.00313131	1.0001 +- 0.00128677	1.0266 +- 0.00251984	1.02686 +- 0.00103481	1.02707 +- 0.0028547	1.02181 +- 0.00117135
-0.065	1.01507 +- 0.00310603	1.01928 +- 0.00128303	1.04538 +- 0.00253786	1.05208 +- 0.00105182	1.05058 +- 0.00282764	1.04504 +- 0.00116709
-0.055	1.03947 +- 0.00307738	1.05129 +- 0.00128531	1.08846 +- 0.00259229	1.0896 +- 0.00108075	1.07507 +- 0.00280135	1.08116 +- 0.0011726
-0.045	1.07922 +- 0.0030702	1.09722 +- 0.0012985	1.14239 +- 0.00266242	1.13888 +- 0.00111972	1.11414 +- 0.00279216	1.13031 +- 0.00118772
-0.035	1.13795 +- 0.00308692	1.15376 +- 0.00131839	1.2017 +- 0.00273072	1.19461 +- 0.00116048	1.16738 +- 0.00280267	1.18764 +- 0.00120775
-0.025	1.21066 +- 0.00310796	1.21218 +- 0.00133416	1.26022 +- 0.00281967	1.24196 +- 0.00120548	1.23219 +- 0.00285545	1.23796 +- 0.00123333
-0.015	1.27144 +- 0.00313096	1.26056 +- 0.00134678	1.27901 +- 0.00310389	1.26416 +- 0.00133354	1.26701 +- 0.00308862	1.2638 +- 0.00133289
-0.005	1.30651 +- 0.00313598	1.28742 +- 0.00135046	1.25277 +- 0.00360309	1.26093 +- 0.00156315	1.30317 +- 0.00353484	1.26578 +- 0.00150552
0.005	1.30714 +- 0.0031413	1.28742 +- 0.00135154	1.25125 +- 0.00359745	1.26096 +- 0.00156169	1.30097 +- 0.00354057	1.26585 +- 0.00150754
0.015	1.26239 +- 0.00311677	1.26059 +- 0.00134451	1.27345 +- 0.00309626	1.2642 +- 0.00133297	1.27456 +- 0.00309706	1.26372 +- 0.00133342
0.025	1.21305 +- 0.00310918	1.21217 +- 0.00133407	1.25709 +- 0.0028171	1.24196 +- 0.00120578	1.22569 +- 0.00285072	1.23793 +- 0.001234
0.035	1.14102 +- 0.00309682	1.15377 +- 0.0013198	1.20244 +- 0.00273574	1.19458 +- 0.00116147	1.16796 +- 0.00280307	1.18766 +- 0.00120736
0.045	1.08181 +- 0.00307714	1.09722 +- 0.00130011	1.14132 +- 0.00265908	1.13888 +- 0.00111854	1.1103 +- 0.00278984	1.1303 +- 0.00118698
0.055	1.0332 +- 0.0030702	1.05128 +- 0.00128549	1.0858 +- 0.00259169	1.0896 +- 0.00108107	1.06938 +- 0.00279534	1.08116 +- 0.00117154
0.065	1.0214 +- 0.00311212	1.01927 +- 0.0012832	1.05176 +- 0.00254672	1.05209 +- 0.00105339	1.04925 +- 0.00282619	1.04506 +- 0.00116765
0.075	0.992791 +- 0.00312846	1.00011 +- 0.00128668	1.02236 +- 0.00251336	1.02687 +- 0.00103472	1.02859 +- 0.00285549	1.02181 +- 0.00117136
0.085	0.987168 +- 0.00317597	0.990431 +- 0.001301	1.00518 +- 0.00249458	1.01195 +- 0.00102507	1.02733 +- 0.00292304	1.00875 +- 0.00118879
0.095	0.989371 +- 0.00323524	0.986602 +- 0.00132167	0.997891 +- 0.00248803	1.00426 +- 0.00101997	1.01588 +- 0.0029695	1.00247 +- 0.00120878
0.105	0.985307 +- 0.00329177	0.985851 +- 0.00134555	0.999018 +- 0.00249935	1.00088 +- 0.00102171	1.01079 +- 0.00302963	0.999978 +- 0.00123463
0.115	0.983456 +- 0.00334752	0.986435 +- 0.00137107	0.991344 +- 0.00249809	0.999379 +- 0.00102287	1.00205 +- 0.00309024	0.998976 +- 0.00126241
0.125	0.987758 +- 0.00341143	0.987506 +- 0.00139637	1.00195 +- 0.00251598	0.998849 +- 0.00102588	1.00245 +- 0.00316816	0.998685 +- 0.00129438
0.135	0.976043 +- 0.00345158	0.988646 +- 0.00142189	0.996437 +- 0.0025136	0.998769 +- 0.00102766	1.00481 +- 0.00324761	0.998708 +- 0.00132633
0.145	0.99019 +- 0.00353105	0.989721 +- 0.00144914	0.998865 +- 0.00252936	0.998846 +- 0.00103133	1.0052 +- 0.00333505	0.998826 +- 0.0013626
0.155	0.980517 +- 0.00358985	0.990702 +- 0.00147826	0.989547 +- 0.00252428	0.998965 +- 0.00103268	0.99816 +- 0.00341112	0.998959 +- 0.0013974
0.165	0.982868 +- 0.00365527	0.991577 +- 0.00150624	0.996597 +- 0.00254142	0.999054 +- 0.00103693	1.00057 +- 0.0035279	0.999052 +- 0.00144313
0.175	0.976698 +- 0.00371063	0.992344 +- 0.00153414	1.00252 +- 0.00255834	0.999142 +- 0.00104099	0.995961 +- 0.00363601	0.999141 +- 0.00149015
0.185	0.992965 +- 0.0038189	0.993047 +- 0.00156845	0.996192 +- 0.00256657	0.999237 +- 0.00104687	1.00667 +- 0.00377804	0.999237 +- 0.00154415
0.195	0.986048 +- 0.00387164	0.993681 +- 0.00159581	0.990432 +- 0.00257522	0.99931 +- 0.00105189	0.999154 +- 0.00392485	0.999309 +- 0.00160813

m_T (GeV/c)	R_out (fm)	R_side (fm)	R_long (fm)
0.260902	5.56851 +- 0.0568528	4.93449 +- 0.0434895	5.01443 +- 0.0507727
0.326568	5.10971 +- 0.0393788	4.4605 +- 0.0327137	4.26782 +- 0.0348636
0.415655	4.68763 +- 0.051171	4.05423 +- 0.0423567	3.64874 +- 0.0412629
0.521936	4.14595 +- 0.0645967	3.81793 +- 0.0526935	3.18044 +- 0.0506763

(dN/deta)^1/3	R_out (fm)	R_side (fm)	R_long (fm)
5.91025	5.56851 +- 0.0568528	4.93449 +- 0.0434895	5.01443 +- 0.0507727
5.52149	5.17754 +- 0.0589361	4.51277 +- 0.0465409	4.76954 +- 0.0564927
5.03949	4.8969 +- 0.0456905	4.18866 +- 0.034073	4.52079 +- 0.0426159
4.44087	4.41981 +- 0.0508988	3.79047 +- 0.0376951	4.16821 +- 0.0485509
3.86582	3.96082 +- 0.0593778	3.35866 +- 0.0427416	3.70763 +- 0.0557103
3.30077	3.52677 +- 0.0758981	3.01275 +- 0.0525973	3.36785 +- 0.0686502
2.763	3.41391 +- 0.110608	2.72484 +- 0.0699299	3.27857 +- 0.100168

Experiment	sqrt(sNN)	Volume (fm³)
STAR Au+Au	7.7 GeV	1922.99 +- 87.0084
STAR Au+Au	11.5 GeV	1958.32 +- 48.6291
STAR Au+Au	19.6 GeV	2135.6 +- 34.1025
STAR Au+Au	27 GeV	2256.51 +- 25.9516
STAR Au+Au	39 GeV	2401.71 +- 56.788
STAR Au+Au	62.4 GeV	2493.76 +- 48.7154
STAR Au+Au	200 GeV	2837.23 +- 54.9542
E895 Au+Au	2.347 GeV	3198.87 +- 235.461
E895 Au+Au	3.04 GeV	2338.98 +- 115.001
E895 Au+Au	3.608 GeV	1895.81 +- 115.519
E895 Au+Au	4.095 GeV	1704.83 +- 172.49
E866 Au+Au	4.73 GeV	1487.77 +- 342.255
WA98 Au+Au	17.27 GeV	2258.92 +- 497.888
CERES Pb+Au	8.76 GeV	1919.33 +- 252.719
CERES Pb+Au	12.3 GeV	1894.12 +- 242.196
CERES Pb+Au	17.2 GeV	2180.3 +- 236.09
NA49 Pb+Au	6.3 GeV	1557.45 +- 183.587
NA49 Pb+Au	7.6 GeV	1535.86 +- 181.648
NA49 Pb+Au	8.7 GeV	1600.33 +- 180.961
NA49 Pb+Au	12.5 GeV	1829.44 +- 208.12
NA49 Pb+Au	17.27 GeV	1775.04 +- 187.598
NA44 Pb+Au	17.27 GeV	2704.35 +- 405.391
PHOBOS Au+Au	71.76 GeV	2285.8 +- 1298.55
PHOBOS Au+Au	230 GeV	2478.93 +- 2056.5
ALICE Pb+Pb	2760 GeV	5115.64 +- 1122.12

Experiment	sqrt(sNN) (GeV)	tau (fm/c)
STAR	7.7	5.607 +- 0.029
STAR	11.5	6.059 +- 0.017
STAR	19.6	6.485 +- 0.012
STAR	27	6.699 +- 0.009
STAR	39	6.904 +- 0.016
STAR	62.4	7.125 +- 0.014
STAR	200	7.628 +- 0.013
E895	2.347	4.444 +- 0.108
E895	3.04	4.671 +- 0.075
E895	3.608	4.464 +- 0.103
E895	4.095	4.510 +- 0.143
CERES	17.3	6.197 +- ??
NA49	6.3	5.240 +- 0.044
NA49	7.6	5.456 +- 0.042
NA49	8.7	5.754 +- 0.039
NA49	12.5	5.939 +- 0.052
NA49	17.3	6.144 +- 0.038
PHOBOS	62.4	6.688 +- 0.217
PHOBOS	200	7.173 +- 0.185
ALICE	2760	10.441 +- 0.074

Npart	R²_o,0 (fm²)	R²_s,0 (fm²)	R²_l,0 (fm²)	R²_os,0 (fm²)	R²_ol,0 (fm²)
337.414 +/- 0	25.6907 +/- 0.274047	19.5577 +/- 0.187389	17.3972 +/- 0.192441	-0.185954 +/- 0.162435	0.352482 +/- 0.168776
290.417 +/- 0	22.8919 +/- 0.273366	17.6617 +/- 0.192753	15.8541 +/- 0.201802	0.086083 +/- 0.164002	-0.08845 +/- 0.169932
226.22 +/- 0	19.9189 +/- 0.193823	14.9389 +/- 0.131654	14.1453 +/- 0.145063	0.037288 +/- 0.112659	0.159842 +/- 0.120542
160.153 +/- 0	16.7017 +/- 0.205234	12.2631 +/- 0.138433	12.0048 +/- 0.160324	-0.076315 +/- 0.116956	0.064598 +/- 0.127835
109.878 +/- 0	13.4977 +/- 0.211118	10.0635 +/- 0.141461	9.85758 +/- 0.165235	-0.116376 +/- 0.116092	0.085108 +/- 0.127871

root(s) (GeV)	R²_ol (fm²)
7.7	3.96572 +- 0.275213
11.5	3.41765 +- 0.207946
19.6	1.98354 +- 0.116615
27	1.78165 +- 0.07015
39	1.45048 +- 0.123842
62.4	1.29022 +- 0.106183
200	0.676055 +- 0.0884412

root(s) (GeV)	R²_ol (fm²)
7.7	2.43085 +- 0.370869
11.5	1.88137 +- 0.220861
19.6	0.959741 +- 0.110957
27	0.900532 +- 0.0851491
39	0.657952 +- 0.134476
62.4	0.543474 +- 0.115356
200	0.591294 +- 0.0941562

root(s) (GeV)	R²_ol (fm²)
7.7	-4.34154 +- 0.281747
11.5	-2.97045 +- 0.145666
19.6	-1.99373 +- 0.0939873
27	-1.67729 +- 0.0664696
39	-1.58631 +- 0.131736
62.4	-1.26029 +- 0.111212
200	-0.837651 +- 0.0956159

root(s) (GeV)	R²_ol (fm²)
7.7	-2.92355 +- 0.344615
11.5	-1.50056 +- 0.175615
19.6	-1.15652 +- 0.111737
27	-0.787957 +- 0.0750612
39	-0.882577 +- 0.148435
62.4	-0.671665 +- 0.123279
200	-0.73719 +- 0.104071

centrality	eps [initial]	eps [final]
10-20%	0.20387 +- 0.01604	0.122126 +- 0.0254669
20-30%	0.28836 +- 0.02394	0.126863 +- 0.0290792
30-50%	0.36096 +- 0.02807	0.16953 +- 0.0395716

Experiment	root(s) (GeV)	-1.0<y<-0.5	-0.5<y<0.5 (*)	0.5<y<1.0
E895	2.347	-	0.179 +- 0.076	-
E895	3.04	-	0.25 +- 0.076	-
E895	3.6087	-	0.274 +- 0.148	-
STAR	7.7	0.155617 +- 0.0318048	0.124495 +- 0.0193272	0.126942 +- 0.030284
STAR	11.5	0.115146 +- 0.0159291	0.108239 +- 0.00861814	0.11899 +- 0.0134858
CERES	17.3	0.0427 +- 0.0192	-	-
STAR	19.6	0.111729 +- 0.00826121	0.107551 +- 0.00529804	0.114315 +- 0.00814768
STAR	27	0.0906223 +- 0.00532969	0.0987999 +- 0.0035575	0.0924571 +- 0.00547269
STAR	39	0.0872038 +- 0.0102644	0.0906863 +- 0.00630084	0.0898868 +- 0.00882553
STAR	62.4	0.0919311 +- 0.00819332	0.0829331 +- 0.00515841	0.0941921 +- 0.00740742
STAR	200	0.0780762 +- 0.00632853	0.0783857 +- 0.00382989	0.0666556 +- 0.00560071

root(sNN) (GeV)	epsilon
2.7	0.221
3.32	0.181
3.84	0.167
4.3	0.155
6.41	0.14
7.73	0.1371
11.5	0.1346
17	0.121
39	0.099
62.4	0.092
130	0.085
200	0.077
5500	0.049

root(sNN) (GeV)	epsilon
10	0.227
20	0.201
40	0.172
62	0.144
130	0.117
200	0.0875
2500	-0.0035
31224	-0.055
301010	-0.084

root(sNN) (GeV)	epsilon
10	0.213
20	0.185
40	0.161
62	0.149
200	0.116
2500	0.068
31224	0.03
301010	0.0004

root(sNN) (GeV)	epsilon
10	0.258
20	0.234
40	0.212
62	0.2
200	0.17
2500	0.122
31224	0.089
301010	0.063

root(sNN) (GeV)	epsilon
7.7	0.214648
11.5	0.188831
17.7	0.166228
19.9	0.161886
27	0.14835
39	0.134318
63	0.126471
200	0.087156
2760	0.0163505
5500	-0.00202692

root(sNN) (GeV)	epsilon
7.7	0.175578
11.5	0.157122
17.7	0.140044
19.9	0.136336
27	0.125385
39	0.11424
63	0.105999
200	0.0739232
2760	0.00646868
5500	0

Figures for the paper "Beam energy dependent two-pion interferomety and the freeze-out anisotropy of pions in heavy ion collisions at STAR"

Figure 01 - PID through dEdx

Figure 02 - 2D projections of correlation function

Figure 03 - Event plane resolutions

Figure 04 - Oscillating HBT radii

Figure 05 - 1D projections and fits

Figure 06 - Traditional HBT excitation function

Figure 07 - Difference and Ratio between Rout and Rside

Figure 8 - mT, energy and centrality dependence of HBT radii

Figure 9 - Multiplicity dependence of radii

Figure 10 - Extracted system lifetime

Figure 11 - Extracted system lifetime

Figure 12 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 7.7 GeV

Figure 13 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 7.7 GeV

Figure 14 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 11.5 GeV

Figure 15 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 11.5 GeV

Figure 16 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 19.6 GeV

Figure 17 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 19.6 GeV

Figure 18 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 27 GeV

Figure 19 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 27 GeV

Figure 20 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 39 GeV

Figure 21 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 39 GeV

Figure 22 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 62.4 GeV

Figure 23 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 62.4 GeV

Figure 24 - Fourier Coefficients at Midrapidity from HHLW, Global and Azimuthally-integrated fits - 200 GeV

Figure 25 - Fourier Coefficients from Global Fits versus Rapidity and Centrality - 200 GeV

Figure 26 - Out-long radius versus collision energy

Figure 27 - Final versus initial eccentricity

Figure 28 - Final eccentricity excitation function

Figure 8 - m_T, energy and centrality dependence of HBT radii