STAR Physics Database

Proton-Lambda correlations in central Au+Au collisions at s(NN)**(1/2) = 200 GeV
J. Adams et al., Phys. Rev. C 74, 064906 (2006).

Fig. 1: Invariant mass of the selected lambda and antilambda background not subtracted with 0.3 < p_t < 2.0 GeV/c.

m_inv [GeV/c]	Counts	Error
lambda
1.0825	2379	48.775
1.0835	6612	81.3142
1.0845	8929	94.4934
1.0855	10701	103.446
1.0865	12044	109.745
1.0875	13254	115.126
1.0885	14417	120.071
1.0895	15160	123.126
1.0905	15725	125.399
1.0915	16441	128.222
1.0925	16742	129.391
1.0935	16977	130.296
1.0945	17405	131.928
1.0955	17480	132.212
1.0965	17805	133.435
1.0975	17964	134.03
1.0985	18025	134.257
1.0995	17657	132.88
1.1005	18210	134.944
1.1015	18214	134.959
1.1025	18407	135.672
1.1035	19070	138.094
1.1045	19172	138.463
1.1055	20045	141.58
1.1065	21187	145.558
1.1075	22796	150.983
1.1085	25629	160.091
1.1095	31185	176.593
1.1105	41252	203.106
1.1115	60178	245.312
1.1125	94784	307.87
1.1135	154464	393.019
1.1145	236166	485.969
1.1155	279993	529.144
1.1165	206281	454.182
1.1175	115324	339.594
1.1185	63731	252.45
1.1195	39333	198.325
1.1205	28890	169.971
1.1215	23846	154.422
1.1225	21372	146.192
1.1235	20084	141.718
1.1245	19658	140.207
1.1255	19080	138.13
1.1265	18730	136.858
1.1275	18531	136.129
1.1285	18369	135.532
1.1295	18142	134.692
1.1305	17984	134.104
1.1315	17790	133.379
1.1325	18039	134.309
1.1335	17908	133.821
1.1345	17828	133.522
1.1355	17848	133.596
1.1365	17805	133.435
1.1375	17702	133.049
1.1385	17773	133.315
1.1395	17860	133.641
1.1405	17691	133.008
1.1415	17619	132.737
1.1425	17503	132.299
1.1435	17582	132.597
1.1445	17764	133.282
1.1455	17587	132.616
1.1465	17801	133.42
1.1475	17530	132.401
1.1485	17338	131.674
1.1495	17545	132.458
1.1505	17185	131.092
1.1515	17313	131.579
1.1525	16939	130.15
1.1535	17097	130.755
1.1545	16742	129.391
1.1555	15077	122.788
1.1565	13651	116.837
1.1575	12547	112.013
1.1585	11613	107.764
1.1595	10857	104.197
1.1605	9974	99.8699
1.1615	9192	95.8749
1.1625	8497	92.1792
1.1635	7721	87.8692
1.1645	7102	84.2734
1.1655	6450	80.3119
1.1665	6140	78.3582
1.1675	5826	76.3282
1.1685	5312	72.8835
1.1695	4935	70.2496
1.1705	4523	67.2533
1.1715	4108	64.0937
1.1725	3898	62.434
1.1735	3675	60.6218
1.1745	3336	57.7581
1.1755	3201	56.5774
1.1765	2980	54.5894
1.1775	2709	52.0481
1.1785	2567	50.6656
1.1795	2440	49.3964
1.1805	2306	48.0208
1.1815	2139	46.2493
1.1825	1898	43.566
1.1835	1755	41.8927
1.1845	1676	40.939
1.1855	1585	39.8121
1.1865	1441	37.9605
1.1875	1324	36.3868
1.1885	1236	35.1568
1.1895	1135	33.6898
1.1905	1051	32.4191
1.1915	921	30.348
1.1925	825	28.7228
1.1935	730	27.0185
1.1945	719	26.8142
1.1955	618	24.8596
1.1965	595	24.3926
1.1975	464	21.5407
1.1985	407	20.1742
1.1995	395	19.8746
antilambda
1.0825	2395	48.9387
1.0835	6324	79.5236
1.0845	8557	92.5041
1.0855	10357	101.769
1.0865	11673	108.042
1.0875	13046	114.219
1.0885	13904	117.915
1.0895	14836	121.803
1.0905	15369	123.972
1.0915	15749	125.495
1.0925	16118	126.957
1.0935	16363	127.918
1.0945	16516	128.515
1.0955	16619	128.915
1.0965	16560	128.686
1.0975	16756	129.445
1.0985	16703	129.24
1.0995	16729	129.341
1.1005	16778	129.53
1.1015	16910	130.038
1.1025	17026	130.484
1.1035	17241	131.305
1.1045	17647	132.842
1.1055	18218	134.974
1.1065	19114	138.253
1.1075	20891	144.537
1.1085	23649	153.782
1.1095	28607	169.136
1.1105	37697	194.157
1.1115	55229	235.009
1.1125	86409	293.954
1.1135	139778	373.869
1.1145	211935	460.364
1.1155	251098	501.097
1.1165	181226	425.706
1.1175	98963	314.584
1.1185	54334	233.097
1.1195	34073	184.589
1.1205	25014	158.158
1.1215	20677	143.795
1.1225	18422	135.728
1.1235	17301	131.533
1.1245	16390	128.023
1.1255	16130	127.004
1.1265	15702	125.308
1.1275	15739	125.455
1.1285	15301	123.697
1.1295	15371	123.98
1.1305	15354	123.911
1.1315	15333	123.826
1.1325	15162	123.134
1.1335	15428	124.21
1.1345	15656	125.124
1.1355	15784	125.634
1.1365	15492	124.467
1.1375	15664	125.156
1.1385	15957	126.321
1.1395	15915	126.155
1.1405	16031	126.614
1.1415	15928	126.206
1.1425	16328	127.781
1.1435	16132	127.012
1.1445	16176	127.185
1.1455	16414	128.117
1.1465	16356	127.891
1.1475	16443	128.23
1.1485	16274	127.57
1.1495	16324	127.765
1.1505	16706	129.252
1.1515	16426	128.164
1.1525	16509	128.487
1.1535	16336	127.812
1.1545	16641	129
1.1555	14944	122.246
1.1565	13345	115.521
1.1575	12578	112.152
1.1585	11550	107.471
1.1595	10793	103.889
1.1605	10277	101.376
1.1615	9757	98.7775
1.1625	9117	95.483
1.1635	8621	92.8493
1.1645	8387	91.5806
1.1655	7828	88.476
1.1665	7603	87.1952
1.1675	7251	85.1528
1.1685	6983	83.5643
1.1695	6906	83.1023
1.1705	6662	81.6211
1.1715	6563	81.0123
1.1725	6419	80.1187
1.1735	6136	78.3326
1.1745	5991	77.4016
1.1755	5731	75.7034
1.1765	5575	74.6659
1.1775	5607	74.8799
1.1785	5174	71.9305
1.1795	5067	71.1829
1.1805	5146	71.7356
1.1815	4983	70.5904
1.1825	4720	68.7023
1.1835	4709	68.6222
1.1845	4499	67.0746
1.1855	4434	66.5883
1.1865	4262	65.284
1.1875	4082	63.8905
1.1885	4119	64.1794
1.1895	4015	63.364
1.1905	3985	63.1269
1.1915	3921	62.6179
1.1925	3726	61.041
1.1935	3676	60.63
1.1945	3554	59.6154
1.1955	3412	58.4123
1.1965	3439	58.643
1.1975	3385	58.1808
1.1985	3336	57.7581
1.1995	3185	56.4358

Fig. 2: The purity and momentum-resolution corrected correlation functions C_true(k^*) for proton-lambda, antiproton-antilambda, antiproton-lambda, proton-antilambda.

k^* [GeV/c]	Counts	Error
proton - antilambda
0.005	1.61202	0.930196
0.015	0.832831	0.335339
0.025	0.614644	0.195928
0.045	0.707065	0.11023
0.055	0.586042	0.0885408
0.065	0.743556	0.0762781
0.075	0.793107	0.0666072
0.085	0.915293	0.0600003
0.095	0.797026	0.0532726
0.105	0.832929	0.0485729
0.115	0.881095	0.0446888
0.125	0.790524	0.0410411
0.135	0.884474	0.0384861
0.145	0.904799	0.0359946
0.155	0.862884	0.0337665
0.165	0.918919	0.0320907
0.175	0.913524	0.0304269
0.185	0.943844	0.0289707
0.195	0.923317	0.0275895
0.205	0.903451	0.0263733
0.215	0.954455	0.0254311
0.225	0.922258	0.0244431
0.235	0.944775	0.023611
0.245	0.960754	0.022882
0.255	0.928902	0.0221132
0.265	0.973583	0.0215419
0.275	0.948981	0.0209094
0.285	0.959754	0.0203931
0.295	0.967176	0.0199434
0.305	0.971171	0.0195103
0.315	0.964214	0.0190795
0.325	0.942025	0.0186721
0.335	0.969734	0.0183859
0.345	0.976582	0.0180267
0.355	1.01151	0.0177967
0.365	1.02606	0.0175974
0.375	1.01476	0.0173252
0.395	0.998261	0.0168542
0.405	0.960031	0.0165947
0.415	1.01215	0.0165007
0.425	1.00874	0.0163316
0.435	1.00612	0.0161618
0.455	0.995039	0.0158737
0.465	1.00039	0.0157296
0.475	0.972122	0.0155642
proton - lambda
0.005	2.04081	1.02042
0.015	1.81752	0.370008
0.025	1.45854	0.212283
0.035	1.14138	0.145767
0.045	1.10194	0.111682
0.055	1.20868	0.0906931
0.065	1.09751	0.0753971
0.075	1.19335	0.0650844
0.085	1.03277	0.0565079
0.095	1.07711	0.0504383
0.105	0.981564	0.0451902
0.115	0.972701	0.0411804
0.125	0.978041	0.0378944
0.135	1.04196	0.0354315
0.145	0.984393	0.0329524
0.155	0.986912	0.0309748
0.165	0.974559	0.0292824
0.175	1.01264	0.0278272
0.185	0.991506	0.0264331
0.195	0.972853	0.0252282
0.205	0.969641	0.0242174
0.215	1.03927	0.023423
0.225	1.04278	0.0226104
0.235	1.02869	0.0218176
0.245	1.01698	0.021091
0.255	1.0629	0.0205712
0.265	1.00085	0.0198769
0.275	1.03234	0.0194407
0.285	1.00277	0.0189148
0.295	1.00572	0.0184877
0.305	1.00738	0.0181242
0.315	0.994623	0.017741
0.325	0.993022	0.0173889
0.335	0.995947	0.0170998
0.345	0.991656	0.0168117
0.355	0.987448	0.016555
0.365	1.0085	0.0163441
0.375	1.01346	0.0161278
0.385	1.02549	0.0159501
0.395	0.987576	0.015694
0.405	0.99904	0.0155404
0.415	0.987908	0.0153732
0.425	0.99015	0.0152138
0.435	0.993314	0.01507
0.445	1.02904	0.014981
0.455	0.969559	0.0147713
0.465	1.01325	0.014696
0.475	0.971135	0.0145212
0.485	1.01976	0.0144633
antiproton - lambda
0.005	0.146823	0.747316
0.015	0.731147	0.301066
0.025	0.850782	0.186082
0.035	0.687453	0.131049
0.045	0.782095	0.103394
0.055	0.747284	0.0847207
0.065	0.745433	0.0715656
0.075	0.857936	0.0629977
0.085	0.754201	0.0551852
0.095	0.817967	0.0499956
0.105	0.885961	0.0458539
0.115	0.858851	0.0418973
0.125	0.794749	0.0387366
0.135	0.945561	0.0366652
0.145	0.913689	0.0341959
0.155	0.896925	0.0321839
0.165	0.863019	0.030312
0.175	0.893703	0.0288471
0.185	0.952131	0.0276881
0.195	0.917376	0.0264091
0.205	0.91423	0.0253969
0.215	0.954228	0.0245497
0.225	0.999923	0.0237855
0.235	0.930706	0.0228244
0.245	0.91942	0.0220728
0.255	0.976876	0.0215738
0.265	0.994544	0.0210581
0.275	0.982811	0.0205007
0.285	0.988459	0.0200043
0.295	0.989203	0.0195776
0.305	0.98765	0.019133
0.315	0.953145	0.0187296
0.325	0.985368	0.0184157
0.335	1.02642	0.0181938
0.345	1.01672	0.0178594
0.355	0.985527	0.0175258
0.365	1.00076	0.0173214
0.375	0.948293	0.0170124
0.385	1.02173	0.0169248
0.395	0.980779	0.0166594
0.405	1.02201	0.0165601
0.415	1.01309	0.0163822
0.425	0.995142	0.0161496
0.435	1.02573	0.0160548
0.445	0.991739	0.0158636
0.455	1.0079	0.0157577
0.465	0.985366	0.0155932
0.475	0.998127	0.0154914
0.485	1.01108	0.0153903
antiproton - antilambda
0.005	2.10675	1.43925
0.015	1.54016	0.499054
0.025	1.38689	0.305
0.035	1.2243	0.209854
0.045	1.1046	0.158068
0.055	1.14763	0.127968
0.065	0.92226	0.105829
0.075	1.09163	0.0917715
0.085	0.817336	0.0780126
0.095	1.00345	0.0703815
0.105	0.91132	0.0628297
0.115	0.945026	0.057325
0.125	0.999124	0.0528806
0.135	1.01029	0.0490176
0.145	1.01603	0.0456986
0.155	0.866508	0.0421867
0.165	1.01646	0.040507
0.175	0.974368	0.0382098
0.185	0.976442	0.0362275
0.195	0.994217	0.0346507
0.205	0.94695	0.0330329
0.215	1.01365	0.0319299
0.235	0.997813	0.0295989
0.245	1.01894	0.0287066
0.255	0.975357	0.0277393
0.265	0.997327	0.0269633
0.275	0.951823	0.0261699
0.285	0.955329	0.0254988
0.295	1.03148	0.0251401
0.305	1.02241	0.0245574
0.315	0.99885	0.0239965
0.325	1.00337	0.0235425
0.335	1.02158	0.0231685
0.345	0.984382	0.0226539
0.355	1.0145	0.0223772
0.365	0.987231	0.0220411
0.375	1.01741	0.0218067
0.385	0.99247	0.0214725
0.395	1.00289	0.0212373
0.405	1.00287	0.0209932
0.415	1.00563	0.0207875
0.425	0.97697	0.0205055
0.435	0.986556	0.0203454
0.445	0.998307	0.0201565
0.455	1.03609	0.0200631
0.465	1.01798	0.019872
0.475	1.01279	0.0197047
0.485	0.989087	0.0195121

Fig. 3: The purity and momentum-resolution combinaed correlation functions C_true(k^*) for proton-lambda + antiproton-antilamdba and proton-antilambda+antiproton-lambda.

k^* [GeV/c]	Counts	Error
combined antiproton - lambda and proton - antilambda
0.005	0.837647	0.589422
0.015	0.778819	0.2242
0.025	0.740218	0.1349
0.035	0.687952	0.0961782
0.045	0.746356	0.075402
0.055	0.670395	0.0611975
0.065	0.744271	0.0521886
0.075	0.826722	0.0457638
0.085	0.829489	0.0406335
0.095	0.80699	0.0364567
0.105	0.860324	0.0333413
0.115	0.869199	0.0305656
0.125	0.792057	0.0281697
0.135	0.915992	0.0265437
0.145	0.908862	0.0247911
0.155	0.880184	0.0232956
0.165	0.889298	0.0220395
0.175	0.902634	0.0209365
0.185	0.948003	0.0200174
0.195	0.919375	0.0190781
0.205	0.908374	0.0182944
0.215	0.954456	0.0176627
0.225	0.961867	0.0170455
0.235	0.937327	0.0164107
0.245	0.93924	0.0158887
0.255	0.953442	0.0154421
0.265	0.984413	0.0150589
0.275	0.965195	0.0146382
0.285	0.973994	0.0142812
0.295	0.978144	0.0139713
0.305	0.979356	0.0136621
0.315	0.958609	0.0133672
0.325	0.963653	0.0131118
0.335	0.997992	0.0129319
0.345	0.996525	0.0126882
0.355	0.998485	0.0124894
0.365	1.01318	0.012348
0.375	0.982128	0.0121428
0.385	1.01467	0.0120213
0.395	0.98972	0.0118505
0.405	0.99089	0.0117223
0.415	1.0125	0.0116263
0.425	1.00171	0.0114855
0.435	1.01583	0.0113915
0.445	0.997796	0.0112796
0.455	1.00143	0.0111848
0.465	0.993	0.0110761
0.475	0.985009	0.0109811
0.485	1.00125	0.0109225
combined antiproton - antilambda and proton - lambda
0.005	2.06483	0.832595
0.015	1.72556	0.297497
0.025	1.43741	0.174272
0.035	1.17259	0.11974
0.045	1.10681	0.0912291
0.055	1.19103	0.0740098
0.065	1.04166	0.0614268
0.075	1.16136	0.0531
0.085	0.963259	0.0457801
0.095	1.05304	0.0410048
0.105	0.959212	0.0366912
0.115	0.96343	0.0334487
0.125	0.984916	0.0308033
0.135	1.03231	0.0287161
0.145	0.995993	0.0267296
0.155	0.945709	0.0249728
0.165	0.988939	0.0237313
0.175	0.999596	0.0224953
0.185	0.986349	0.0213539
0.195	0.980193	0.0203954
0.205	0.961788	0.019532
0.215	1.03039	0.0188873
0.225	1.02331	0.0181877
0.235	1.01793	0.0175637
0.245	1.0176	0.0169977
0.255	1.03247	0.0165261
0.265	0.999533	0.0160005
0.275	1.00427	0.0156083
0.285	0.986174	0.0151931
0.295	1.0146	0.0148943
0.305	1.01253	0.014583
0.315	0.996007	0.0142662
0.325	0.996548	0.0139875
0.335	1.00478	0.0137584
0.345	0.989063	0.0135013
0.355	0.996807	0.0133092
0.365	1.00107	0.0131299
0.375	1.0148	0.0129678
0.385	1.01398	0.0128058
0.395	0.992876	0.0126225
0.405	1.00036	0.0124914
0.415	0.99405	0.012361
0.425	0.985558	0.0122198
0.435	0.990979	0.0121112
0.445	1.01839	0.0120253
0.455	0.992679	0.0118953
0.465	1.01492	0.0118167
0.475	0.985613	0.0116901
0.485	1.00918	0.0116216

Fig. 4: The combined antiproton-lambda + proton-antilambda spin-averaged s-wave scattering length. Note that one should read 0.1973 x (Im F0) instead of Im F0.

Im F0 [fm]	Re F0
Corrected
Central Value
1.01	-2.03
One standard deviation contour
0.333386	-1.17035
0.460541	-1.45512
0.618433	-1.72408
0.793857	-1.98157
0.985954	-2.22687
1.1986	-2.45991
1.433	-2.67105
1.5616	-2.7653
1.69854	-2.84695
2.00361	-2.93854
2.1558	-2.8326
1.98282	-2.57041
1.73702	-2.37483
1.48443	-2.19473
1.23355	-2.01226
0.990957	-1.82045
0.760197	-1.61457
0.650405	-1.50564
0.488018	-1.33996
0.337197	-1.16369
Lambda = 15%
Central Value
0.925	-2.51
One standard deviation contour
0.259711	-1.25568
0.35036	-1.5726
0.457564	-1.88431
0.564584	-2.19598
0.663992	-2.51017
0.756936	-2.85003
0.878185	-3.18086
1.13463	-3.43736
1.30075	-3.51409
1.48123	-3.54424
1.68422	-3.48445
1.77375	-3.2927
1.67059	-2.9847
1.48188	-2.72032
1.27187	-2.4772
1.05643	-2.23886
0.845681	-1.99948
0.643438	-1.75287
0.447091	-1.50145
0.264551	-1.23983
Lambda = 17.5%
Central Value
1.27	-2.562
One standard deviation contour
0.35802	-1.33335
0.499151	-1.70425
0.67395	-2.06052
0.862762	-2.40915
1.06346	-2.75107
1.28822	-3.09258
1.55036	-3.40631
1.88558	-3.65259
2.08147	-3.72648
2.28903	-3.75385
2.5738	-3.68471
2.72868	-3.43593
2.53625	-3.07512
2.21799	-2.81835
1.88552	-2.5947
1.5498	-2.37594
1.22725	-2.14358
0.920912	-1.89023
0.636788	-1.61236
0.365866	-1.3216
Lambda = 20%
Central Value
1.677	-2.60
One standard deviation contour
0.471673	-1.42098
0.667102	-1.81936
0.911757	-2.18956
1.18319	-2.53984
1.48018	-2.86873
1.81116	-3.17405
2.17822	-3.43487
2.59028	-3.6241
3.03768	-3.69774
3.51475	-3.58922
3.80573	-3.1959
3.49427	-2.808
3.02715	-2.63693
2.56483	-2.51059
2.1062	-2.37145
1.66283	-2.19877
1.24017	-1.98022
1.03945	-1.8518
0.755634	-1.63596
0.481362	-1.40812
proton-antiproton
Grach & Kerbikov Sov J Nucl Phys 48 1988 609
0.65	-0.65
Klempt Phys. Rep. 368 (2002) 119-316 p 253
0.64	-0.88
HJ Pirner,Kerbikov J Mahalanabis, Hadron and Nuclei 338 (1991) 111-112
0.6	-0.40
C.J. Batty, Rep. Prog. Phys. 52 (1989) 1165
0.855	-0.923

Fig. 5: Pion source size compared with proton and lambda source sizes as a function of the mean transverse mass <m_t> for 0-10% most central Au+Au collisions.
For the (anti)proton-(anti)lambda the errors are, from left to right, the statistical errors, the systematic errors introudced by the uncertainty on the purity correction, and, on the scattering length for proton-lambda and antiproton-antilambda or the uncertainty in the model for the proton-antilambda or antiproton-lambda.

<m_t> [GeV/c]	R_inv [fm]
π^-
0.244	7.06 +/- 0.15
0.328	6.68 +/- 0.14
0.418	6.23 +/- 0.19
0.524	5.70 +/- 0.19
π⁺
0.244	7.00 +/- 0.15
0.328	6.58 +/- 0.14
0.418	6.31 +/- 0.19
0.524	5.66 +/- 0.19
proton-lambda
1.326	2.97 +/- 0.34 ^+0.19_-0.25 +/- 0.2
antiproton-lambda
1.336	1.56 +/- 0.08 ^+0.10_-0.14 +/- 0.3
proton-antilambda
1.336	1.41 +/- 0.10 ^+0.11_-0.11 +/- 0.3
antiProton-antilambda
1.346	3.24 +/- 0.59 ^+0.24_-0.14 +/- 0.2

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Proton-Lambda correlations in central Au+Au collisions at s(NN)**(1/2) = 200 GeV J. Adams et al., Phys. Rev. C 74, 064906 (2006).

Fig. 1: Invariant mass of the selected lambda and antilambda background not subtracted with 0.3 < pt < 2.0 GeV/c.

Fig. 2: The purity and momentum-resolution corrected correlation functions Ctrue(k*) for proton-lambda, antiproton-antilambda, antiproton-lambda, proton-antilambda.

Fig. 3: The purity and momentum-resolution combinaed correlation functions Ctrue(k*) for proton-lambda + antiproton-antilamdba and proton-antilambda+antiproton-lambda.

Fig. 4: The combined antiproton-lambda + proton-antilambda spin-averaged s-wave scattering length. Note that one should read 0.1973 x (Im F0) instead of Im F0.

Proton-Lambda correlations in central Au+Au collisions at s(NN)**(1/2) = 200 GeV
J. Adams et al., Phys. Rev. C 74, 064906 (2006).

Fig. 1: Invariant mass of the selected lambda and antilambda background not subtracted with 0.3 < p_t < 2.0 GeV/c.

Fig. 2: The purity and momentum-resolution corrected correlation functions C_true(k^*) for proton-lambda, antiproton-antilambda, antiproton-lambda, proton-antilambda.

Fig. 3: The purity and momentum-resolution combinaed correlation functions C_true(k^*) for proton-lambda + antiproton-antilamdba and proton-antilambda+antiproton-lambda.