Measurement of interaction between antiprotons

Submitted to Nature letter.
arXiv: 1404.6880
STAR run 2011 AuAu 200GeV data

Figure 3: Correlation function for proton-proton pairs (top), antiproton-antiproton pairs (middle), and the ratio of the former to the latter (bottom).



proton-proton CF
k* CF value The error of CF
0.00875 1.22776 0.216045
0.01125 1.03741 0.0602173
0.01375 1.15678 0.0361809
0.01625 1.24311 0.0256315
0.01875 1.25467 0.0194764
0.02125 1.25465 0.0156653
0.02375 1.24101 0.0130975
0.02625 1.21414 0.0112991
0.02875 1.18623 0.00990275
0.03125 1.16113 0.00885449
0.03375 1.13365 0.00798571
0.03625 1.09552 0.00723309
0.03875 1.08467 0.00669096
0.04125 1.07695 0.00623569
0.04375 1.04726 0.00577752
0.04625 1.02946 0.00540767
0.04875 1.0218 0.0051079
0.05125 1.02309 0.00486562
0.05375 1.02033 0.00463171
0.05625 1.01547 0.00441969
0.05875 1.00445 0.00420739
0.06125 1.00334 0.00404297
0.06375 1.00358 0.00389321
0.06625 0.999372 0.00374453
0.06875 0.999745 0.00361376
0.07125 0.997334 0.00349349
0.07375 0.997867 0.00338348
0.07625 0.993672 0.00327376
0.07875 0.99302 0.00317532
0.08125 0.990663 0.00308097
0.08375 0.988176 0.00299365
0.08625 0.988876 0.00291658
0.08875 0.989452 0.00284295
0.09125 0.995519 0.00278237
0.09375 0.987287 0.00270303
0.09625 0.991798 0.00264722
0.09875 0.991477 0.00258929
0.10125 0.991428 0.00253034
0.10375 0.985341 0.00246918
0.10625 0.992615 0.00242965
0.10875 0.995387 0.00238459
0.11125 0.992026 0.00233433
0.11375 0.993872 0.0022918
0.11625 0.990887 0.00224748
0.11875 0.988487 0.00220338
0.12125 0.992223 0.00217095
0.12375 0.994956 0.00213722
0.12625 0.993424 0.00209989
0.12875 0.993821 0.00206664
0.13125 0.989774 0.00202915
0.13375 0.99299 0.00200172
0.13625 0.991834 0.00197147
0.13875 0.992219 0.00194301
0.14125 0.991656 0.00191469
0.14375 0.994581 0.00189112
0.14625 0.994511 0.00186597
0.14875 0.993881 0.0018407

antiproton-antiproton CF
k* CF value The error of CF
0.00875 1.01077 0.275385
0.01125 0.985434 0.090538
0.01375 1.03951 0.050094
0.01625 1.18526 0.0363394
0.01875 1.20319 0.0273709
0.02125 1.25787 0.0224353
0.02375 1.23334 0.0186966
0.02625 1.20694 0.0159556
0.02875 1.16342 0.0139148
0.03125 1.15148 0.0124842
0.03375 1.1214 0.0112158
0.03625 1.11303 0.0103058
0.03875 1.06983 0.0093782
0.04125 1.04554 0.00866829
0.04375 1.03416 0.00810014
0.04625 1.0156 0.00757517
0.04875 1.02177 0.00720757
0.05125 1.0237 0.00686038
0.05375 1.00274 0.00646558
0.05625 1.01294 0.00622556
0.05875 0.998338 0.00591275
0.06125 0.998924 0.00568125
0.06375 0.996005 0.00545986
0.06625 0.988289 0.00524318
0.06875 0.989242 0.00506226
0.07125 0.984423 0.00488366
0.07375 0.989768 0.00474068
0.07625 0.995393 0.00461223
0.07875 0.995905 0.00447509
0.08125 0.985806 0.00432688
0.08375 0.991998 0.00421993
0.08625 0.990415 0.00410509
0.08875 0.986515 0.00399443
0.09125 0.989406 0.00389933
0.09375 0.986009 0.00380084
0.09625 0.99226 0.00372518
0.09875 0.990532 0.00363683
0.10125 0.986306 0.00354707
0.10375 0.989534 0.00348189
0.10625 0.98559 0.0034026
0.10875 0.985382 0.0033326
0.11125 0.993945 0.00328565
0.11375 0.990193 0.00321357
0.11625 0.988079 0.00315472
0.11875 0.987641 0.0030955
0.12125 0.990421 0.00304516
0.12375 0.993457 0.00300075
0.12625 0.989965 0.00294346
0.12875 0.990754 0.00289983
0.13125 0.989954 0.00285158
0.13375 0.989022 0.00280716
0.13625 0.997138 0.00277754
0.13875 0.993725 0.00273236
0.14125 0.993422 0.00269231
0.14375 0.996157 0.00265887
0.14625 0.993518 0.00261641
0.14875 0.991749 0.00258203

the ratio of the CFs
k* ratio The error of ratio
0.00875 1.21467 0.393963
0.01125 1.05274 0.114408
0.01375 1.11281 0.0639316
0.01625 1.04881 0.038751
0.01875 1.04279 0.0287186
0.02125 0.997438 0.021716
0.02375 1.00622 0.0185863
0.02625 1.00597 0.0162635
0.02875 1.01961 0.0148715
0.03125 1.00838 0.0133663
0.03375 1.01092 0.0123669
0.03625 0.984268 0.0111932
0.03875 1.01387 0.0108677
0.04125 1.03004 0.0104162
0.04375 1.01266 0.00970177
0.04625 1.01364 0.00924733
0.04875 1.00003 0.00864595
0.05125 0.999407 0.00821268
0.05375 1.01755 0.00802391
0.05625 1.0025 0.00754989
0.05875 1.00612 0.00729857
0.06125 1.00442 0.00700096
0.06375 1.00761 0.00676665
0.06625 1.01121 0.00656788
0.06875 1.01062 0.00633173
0.07125 1.01312 0.0061526
0.07375 1.00818 0.00591641
0.07625 0.998271 0.00567563
0.07875 0.997102 0.00549912
0.08125 1.00493 0.00540582
0.08375 0.996147 0.00520233
0.08625 0.998446 0.00507918
0.08875 1.00298 0.00497969
0.09125 1.00618 0.00486137
0.09375 1.0013 0.00473424
0.09625 0.999535 0.0046042
0.09875 1.00095 0.00450994
0.10125 1.00519 0.00443282
0.10375 0.995762 0.00430153
0.10625 1.00713 0.00426219
0.10875 1.01015 0.00418663
0.11125 0.998069 0.00404981
0.11375 1.00372 0.00399599
0.11625 1.00284 0.00392756
0.11875 1.00086 0.00384934
0.12125 1.00182 0.00378052
0.12375 1.00151 0.00371203
0.12625 1.00349 0.00366084
0.12875 1.0031 0.00360151
0.13125 0.999818 0.00353494
0.13375 1.00401 0.00349531
0.13625 0.99468 0.00340379
0.13875 0.998484 0.00337055
0.14125 0.998222 0.00332167
0.14375 0.998418 0.00327196
0.14625 1.001 0.00323674
0.14875 1.00215 0.00320191



Figure 4: f0 and d0

pairs f0 (fm) f0_error (fm) d0 (fm) d0_error (fm)
proton-proton 7.822 0.003 2.775 0.006
antiproton-antiproton 7.409 0.190 2.140 0.269
proton-neutron (singlet) 23.721 0.02 2.658 0.062
proton-neutron (triplet) -5.425 0.018 1.711 0.053
neutron-neutron 16.7 0.38 2.78 0.13

systematic errors for antiproton-antiproton f0 (fm) d0 (fm)
1.3434 0.3572