Global polarization measurement in Au+Au collisions
B.I. Abelev et al., Phys. Rev. C 76, 024915 (2007).

Figure 2: Invariant mass distribution for the Lambda and Anti-Lambda candidates.

png | eps | tables
m_inv (Au+Au@62GeV)
m_inv (GeV/c^2) Lambda counts Anti-Lambda counts
1.09996 156 86
1.10014 620 337
1.10031 657 357
1.10049 677 365
1.10067 669 373
1.10085 668 374
1.10103 654 338
1.1012 708 359
1.10138 704 379
1.10156 685 338
1.10174 713 339
1.10192 681 347
1.1021 674 382
1.10227 790 404
1.10245 694 360
1.10263 741 410
1.10281 752 403
1.10298 691 430
1.10316 791 433
1.10334 821 403
1.10352 775 399
1.1037 803 442
1.10387 850 439
1.10405 869 483
1.10423 879 474
1.10441 820 451
1.10459 876 503
1.10476 933 467
1.10494 899 506
1.10512 936 556
1.1053 964 522
1.10548 1001 556
1.10566 1049 532
1.10583 1045 573
1.10601 1106 615
1.10619 1112 620
1.10637 1185 683
1.10654 1271 632
1.10672 1267 702
1.1069 1334 759
1.10708 1332 800
1.10726 1420 758
1.10743 1484 807
1.10761 1541 827
1.10779 1641 922
1.10797 1849 975
1.10815 1872 1023
1.10833 1971 1078
1.1085 2048 1202
1.10868 2348 1216
1.10886 2469 1292
1.10904 2658 1381
1.10922 2818 1493
1.10939 3116 1613
1.10957 3298 1832
1.10975 3622 1904
1.10993 4011 2123
1.1101 4210 2266
1.11028 4848 2546
1.11046 5065 2769
1.11064 5793 3036
1.11082 6253 3330
1.11099 7002 3632
1.11117 7811 4011
1.11135 8488 4569
1.11153 9622 5020
1.11171 10701 5546
1.11189 11969 6282
1.11206 13145 7091
1.11224 14969 7788
1.11242 16184 8755
1.1126 18267 9774
1.11278 20296 11132
1.11295 23076 12252
1.11313 25749 14020
1.11331 28756 15696
1.11349 31858 17204
1.11366 35448 19554
1.11384 39758 21342
1.11402 43654 24009
1.1142 48538 26103
1.11438 53203 28590
1.11455 57389 31083
1.11473 62109 33348
1.11491 66938 35498
1.11509 70040 37259
1.11527 71820 37914
1.11545 71921 38090
1.11562 70821 37251
1.1158 68412 35959
1.11598 64681 33427
1.11616 59799 30721
1.11634 54311 27742
1.11651 49014 24714
1.11669 44210 22165
1.11687 39067 19773
1.11705 34477 17430
1.11722 30570 15370
1.1174 26832 13534
1.11758 23210 11764
1.11776 20268 10552
1.11794 18143 8961
1.11811 15930 7748
1.11829 13879 7022
1.11847 12170 6208
1.11865 10590 5554
1.11883 9479 4885
1.11901 8445 4352
1.11918 7489 3911
1.11936 6663 3367
1.11954 5866 3141
1.11972 5389 2867
1.1199 4879 2687
1.12007 4297 2450
1.12025 3976 2220
1.12043 3746 2151
1.12061 3484 1858
1.12078 3158 1753
1.12096 2917 1669
1.12114 2888 1647
1.12132 2588 1512
1.1215 2432 1482
1.12167 2309 1380
1.12185 2166 1314
1.12203 2061 1268
1.12221 1958 1243
1.12239 1951 1200
1.12257 1818 1085
1.12274 1788 1113
1.12292 1709 1077
1.1231 1635 1075
1.12328 1589 982
1.12346 1445 1018
1.12363 1436 961
1.12381 1522 922
1.12399 1469 891
1.12417 1387 924
1.12434 1336 958
1.12452 1364 858
1.1247 1425 882
1.12488 1355 836
1.12506 1352 874
1.12523 1241 858
1.12541 1257 873
1.12559 1219 855
1.12577 1184 840
1.12595 1220 850
1.12613 1181 865
1.1263 1240 819
1.12648 1202 759
1.12666 1236 772
1.12684 1224 854
1.12702 1239 842
1.12719 1171 805
1.12737 1197 787
1.12755 1196 802
1.12773 1208 839
1.1279 1179 772
1.12808 1180 778
1.12826 1203 762
1.12844 1144 778
1.12862 1141 819
1.12879 1131 828
1.12897 1139 808
1.12915 1133 810
1.12933 1185 824
1.12951 1122 814
1.12969 1157 794
1.12986 1118 781
1.13004 299 212

Figure 3: Global polarization of Lambda hyperons as a function of transverse momentum.

png | eps | tables
P_Lambda vs pt (Au+Au@200GeV)
pt (GeV/c) P_Lambda error
0.2 0.317816 0.22436
0.6 0.0143452 0.0300961
1.0 0.00968135 0.0174148
1.4 0.0210834 0.0179821
1.8 -0.0409299 0.0232274
2.2 0.00251653 0.033292
2.6 -0.0121426 0.0522533
3.0 0.105785 0.0833981
3.4 -0.183965 0.137946
3.8 -0.330338 0.226935
4.2 -0.327959 0.369462
P_Lambda vs pt (Au+Au@62GeV)
pt (GeV/c) P_Lambda error
0.2 -0.136051 0.169102
0.6 -0.00500123 0.0228567
1.0 -0.00200488 0.0136847
1.4 0.0220294 0.0149701
1.8 -0.00282414 0.0205324
2.2 -0.014865 0.0321289
2.6 0.0244027 0.0539723
3.0 -0.225339 0.0949817
3.4 -0.223714 0.169169
3.8 -0.229937 0.30008
4.2 0.0249558 0.519412

Figure 4: Global polarization of Lambda hyperons as a function of pseudorapidity.

png | eps | tables
P_Lambda vs eta (Au+Au@200GeV)
eta P_Lambda error
-1.13333 -0.100766 0.0632273
-0.906667 0.0423222 0.0322601
-0.68 -0.00837338 0.0285139
-0.453333 0.00116178 0.0287342
-0.226667 0.0182256 0.0295497
-4.16334e-17 0.00296539 0.0296139
0.226667 -0.0229294 0.028802
0.453333 -0.00639526 0.0282685
0.68 0.00817917 0.028084
0.906667 0.0307667 0.0318546
1.13333 -0.021936 0.0638696
P_Lambda vs eta (Au+Au@62GeV)
eta P_Lambda error
-1.13333 0.000182522 0.0531539
-0.906667 -0.00990405 0.026842
-0.68 0.0688606 0.0241214
-0.453333 0.0329788 0.0240541
-0.226667 -0.0192445 0.024713
-4.16334e-17 -0.0025946 0.0247587
0.226667 -0.0355037 0.0243725
0.453333 0.00715678 0.023655
0.68 -0.00145001 0.0235525
0.906667 -0.0218034 0.0263949
1.13333 -0.0423995 0.0519235

Figure 5: Global polarization of Lambda hyperons as a function of centrality.

png | eps | tables
P_Lambda vs centrality (Au+Au@200GeV)
centrality (%) P_Lambda error
20-30 -0.000177574 0.0150772
30-40 0.0160195 0.01784
40-50 -0.0303875 0.0220851
50-60 0.0154008 0.0306296
60-70 0.0592717 0.0475512
P_Lambda vs centrality (Au+Au@62GeV)
centrality (%) P_Lambda error
0-5 0.00350614 0.0246802
5-10 0.00723941 0.0226039
10-20 0.0342862 0.0164446
20-30 0.000146135 0.0174289
30-40 -0.0438506 0.0199042
40-50 0.00317557 0.0253535
50-60 -0.0370611 0.0355265
60-70 0.0713418 0.0578528
70-80 -0.105534 0.117609

Figure 6: Global polarization of Anti-Lambda hyperons as a function of transverse momentum.

png | eps | tables
P_Anti-Lambda vs pt (Au+Au@200GeV)
pt (GeV/c) P_Anti-Lambda error
0.2 -0.233293 0.36665
0.6 0.00228838 0.0347455
1.0 -6.09968e-05 0.019756
1.4 -0.0186057 0.0202247
1.8 0.0637722 0.0260252
2.2 -0.0127199 0.0372999
2.6 0.0107231 0.0579203
3.0 -0.219399 0.0933972
3.4 0.111378 0.149605
3.8 0.0791432 0.241638
4.2 -0.831756 0.39289
P_Anti-Lambda vs pt (Au+Au@62GeV)
pt (GeV/c) P_Anti-Lambda error
0.2 0.365913 0.320408
0.6 -0.0352984 0.0324067
1.0 -0.0184157 0.0189958
1.4 -0.0091117 0.0204359
1.8 -0.00156112 0.0278852
2.2 -0.0188015 0.0434349
2.6 -0.153862 0.0729265
3.0 -0.108598 0.129097
3.4 0.365474 0.229019
3.8 -0.434744 0.405644
4.2 0.387019 0.67906

Figure 7: Global polarization of Anti-Lambda hyperons as a function of pseudorapidity.

png | eps | tables
P_Anti-Lambda vs eta (Au+Au@200GeV)
eta P_Anti-Lambda error
-1.13333 0.0616096 0.073319
-0.906667 0.0275144 0.0369899
-0.68 0.000161668 0.0324387
-0.453333 -0.0171101 0.0325531
-0.226667 0.00923415 0.0331621
-4.16334e-17 -0.0285554 0.0330193
0.226667 0.00592086 0.0323018
0.453333 0.0384126 0.031488
0.68 0.00952961 0.0315909
0.906667 -0.0327858 0.0364418
1.13333 -0.0598616 0.0719888
P_Anti-Lambda vs eta (Au+Au@62GeV)
eta P_Anti-Lambda error
-1.13333 -0.0585945 0.0774028
-0.906667 -0.0116808 0.0382824
-0.68 -0.0423065 0.0337454
-0.453333 -0.062501 0.0335482
-0.226667 -0.0195651 0.0335962
-4.16334e-17 0.0388964 0.0336883
0.226667 -0.0435867 0.0329425
0.453333 0.0233005 0.0320584
0.68 -0.027051 0.0322805
0.906667 -0.00123432 0.0373588
1.13333 -0.0307734 0.0733738

Figure 8: Global polarization of Anti-Lambda hyperons as a function of centrality.

png | eps | tables
P_Anti-Lambda vs centrality (Au+Au@200GeV)
centrality (%) P_Anti-Lambda error
20-30 0.00794814 0.0171123
30-40 0.0109706 0.0200684
40-50 0.00222794 0.0246565
50-60 -0.0177055 0.0340949
60-70 -0.0579009 0.0529639
P_Anti-Lambda vs centrality (Au+Au@62GeV)
centrality (%) P_Anti-Lambda error
0-5 -0.0195018 0.0350096
5-10 -0.0241225 0.0317155
10-20 -0.0244792 0.0229155
20-30 -0.00963131 0.0240969
30-40 -0.028222 0.02692
40-50 -0.0173885 0.0341572
50-60 0.0123744 0.0468123
60-70 -0.00511756 0.0755308
70-80 0.201071 0.154923

Figure 9a: Acceptance correction function A_0(pt).

png | eps | tables
A0_Lambda vs pt
pt (GeV/c) A0_Lambda error
0.2 1.1603 0.00283977
0.6 1.07655 0.000662745
1 1.00503 0.000455016
1.4 0.974308 0.000478066
1.8 0.970565 0.000607681
2.2 0.968249 0.000872022
2.6 0.963823 0.00135259
3 0.961218 0.00215371
3.4 0.961517 0.00346695
3.8 0.952324 0.00569838
4.2 0.94431 0.00921166
A0_Anti-Lambda vs pt
pt (GeV/c) A0_Anti-Lambda error
0.2 1.15973 0.00460304
0.6 1.07368 0.000775941
1 1.00335 0.000518485
1.4 0.97275 0.000539888
1.8 0.967975 0.000684824
2.2 0.968626 0.000976172
2.6 0.965446 0.00150502
3 0.957549 0.00241325
3.4 0.957109 0.00390212
3.8 0.953329 0.00640112
4.2 0.933521 0.0111409

Figure 9b: Acceptance correction function A_0(eta).

png | eps | tables
A0_Lambda vs eta
eta A0_Lambda error
-1.13333 1.08505 0.00124617
-0.906667 1.0479 0.000771793
-0.68 1.00545 0.00074447
-0.453333 0.975378 0.000755977
-0.226667 0.949956 0.000769518
-4.16334e-17 0.944506 0.000763971
0.226667 0.955092 0.000754898
0.453333 0.977069 0.000748597
0.68 1.01008 0.000749377
0.906667 1.05415 0.000819365
1.13333 1.09722 0.00163016
A0_Anti-Lambda vs eta
eta A0_Anti-Lambda error
-1.13333 1.08959 0.00142524
-0.906667 1.04776 0.000892109
-0.68 1.00322 0.000854754
-0.453333 0.969827 0.000864213
-0.226667 0.946971 0.000869718
-4.16334e-17 0.942149 0.00085885
0.226667 0.954819 0.000845521
0.453333 0.978499 0.000835863
0.68 1.01057 0.000842244
0.906667 1.04977 0.000942024
1.13333 1.09101 0.00186501

Figure 10a: Function A_2(pt).

png | eps | tables
A2_Lambda vs pt
pt (GeV/c) A2_Lambda error
0.2 0.041251 0.00841962
0.6 -0.0408959 0.00109841
1 -0.100468 0.00056938
1.4 -0.115529 0.000545402
1.8 -0.110545 0.000696005
2.2 -0.0991051 0.00100989
2.6 -0.0906684 0.00157758
3 -0.08356 0.00251452
3.4 -0.0878355 0.00407205
3.8 -0.0872027 0.0067617
4.2 -0.0792564 0.0106289
A2_Anti-Lambda vs pt
pt (GeV/c) A2_Anti-Lambda error
0.2 0.0171773 0.0127293
0.6 -0.0426499 0.00127294
1 -0.103707 0.000646422
1.4 -0.118357 0.000612852
1.8 -0.111566 0.000779016
2.2 -0.102731 0.00112859
2.6 -0.0897714 0.00175123
3 -0.0906219 0.00279372
3.4 -0.0847946 0.00451936
3.8 -0.0921491 0.00743525
4.2 -0.0790878 0.0121904

Figure 10b: Function A_2(eta).

png | eps | tables
A2_Lambda vs eta
eta A2_Lambda error
-1.13333 -0.0974229 0.00205421
-0.906667 -0.0773601 0.00111106
-0.68 -0.087301 0.000933665
-0.453333 -0.100897 0.00087857
-0.226667 -0.112699 0.000842229
-4.16334e-17 -0.117611 0.00082745
0.226667 -0.114585 0.000834011
0.453333 -0.102462 0.000870092
0.68 -0.0912529 0.00094781
0.906667 -0.0852724 0.00120098
1.13333 -0.128265 0.00277435
A2_Anti-Lambda vs eta
eta A2_Anti-Lambda error
-1.13333 -0.0961461 0.002409
-0.906667 -0.0779996 0.00129083
-0.68 -0.0865689 0.0010645
-0.453333 -0.101364 0.00098972
-0.226667 -0.11377 0.000945711
-4.16334e-17 -0.11687 0.000925167
0.226667 -0.117715 0.000930442
0.453333 -0.108161 0.000971314
0.68 -0.099857 0.00106647
0.906667 -0.0938638 0.00136217
1.13333 -0.131571 0.00312672

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