Improved measurement of the longitudinal spin transfer to Λ and \bar{\Lambda}$ hyperons in polarized proton-proton collisions at $\sqrt{s}$ = 200 GeV at RHIC

Figure 1:a) The invariant mass distribution for $\Lambda$ and $\bar{\Lambda}$ candidates with 3 < p_T < $ 4 GeV/c in this analysis
mass window Number of Lambda Number of anti-lamdba
1.080 - 1.081 88 106
1.081 - 1.082 105 122
1.082 - 1.083 125 141
1.083 - 1.084 135 167
1.084 - 1.085 141 157
1.085 - 1.086 167 188
1.086 - 1.087 148 217
1.087 - 1.088 208 210
1.088 - 1.089 155 216
1.089 - 1.090 197 227
1.090 - 1.091 216 231
1.091 - 1.092 216 248
1.092 - 1.093 255 272
1.093 - 1.094 233 313
1.094 - 1.095 241 290
1.095 - 1.096 263 281
1.096 - 1.097 302 337
1.097 - 1.098 280 318
1.098 - 1.099 309 363
1.099 - 1.100 285 351
1.100 - 1.101 310 389
1.101 - 1.102 361 378
1.102 - 1.103 321 421
1.103 - 1.104 360 438
1.104 - 1.105 364 477
1.105 - 1.106 372 520
1.106 - 1.107 478 655
1.107 - 1.108 518 733
1.108 - 1.109 627 979
1.109 - 1.110 721 1246
1.110 - 1.111 994 1795
1.111 - 1.112 1484 2662
1.112 - 1.113 2301 4107
1.113 - 1.114 3499 6446
1.114 - 1.115 5320 10371
1.115 - 1.116 7232 14253
1.116 - 1.117 6066 12125

Figure 2: The raw spin transfer $D _{LL}^{raw}$ versus cos for a) Λ and b) antiΛ hyperons and c) the spin asymmetry ε_{LL} for the control sample of $K_S^0$ mesons versus cos/theta in the $p_T$ bin of (3,4) GeV/c for JP1 triggered sample.
cos&thea; bin Lambda DLL^raw for η > 0 Lambda DLL^raw for η < 0 AntiLambda DLL^raw for η > 0 AntiLambda DLL^raw for η < 0 K_S^0 ε_LL for η > 0 K_S^0 ε_LL for η < 0
-1.00 - -0.90 0.050 ± 0.071 -0.043 ± 0.071 0.048 ± 0.053 0.037 ± 0.053 0.020 ± 0.039 -0.000 ± 0.039
-0.90 - -0.80 -0.149 ± 0.072 0.081 ± 0.071 0.008 ± 0.052 0.013 ± 0.052 0.017 ± 0.030 0.006 ± 0.030
-0.80 - -0.70 0.159 ± 0.076 0.135 ± 0.076 0.038 ± 0.055 -0.038 ± 0.055 -0.018 ± 0.052 -0.005 ± 0.052
-0.70 - -0.60 -0.195 ± 0.085 -0.069 ± 0.085 -0.065 ± 0.062 -0.039 ± 0.062 0.141 ± 0.061 -0.064 ± 0.061
-0.60 - -0.50 0.056 ± 0.096 -0.055 ± 0.096 -0.209 ± 0.072 -0.073 ± 0.072 -0.057 ± 0.073 -0.075 ± 0.073
-0.50 - -0.40 -0.082 ± 0.118 0.167 ± 0.118 0.028 ± 0.087 -0.121 ± 0.087 -0.122 ± 0.088 -0.034 ± 0.088
-0.40 - -0.30 -0.098 ± 0.151 -0.219 ± 0.151 -0.166 ± 0.110 -0.101 ± 0.110 -0.046 ± 0.114 0.096 ± 0.114
-0.30 - -0.20 0.136 ± 0.212 -0.171 ± 0.212 0.190 ± 0.154 -0.079 ± 0.154 0.290 ± 0.159 0.116 ± 0.159
-0.20 - -0.10 -0.172 ± 0.346 0.027 ± 0.346 0.082 ± 0.249 0.171 ± 0.249 0.071 ± 0.267 -0.452 ± 0.267
-0.10 - 0.00 -0.541 ± 1.060 -0.408 ± 1.060 -0.781 ± 0.754 0.122 ± 0.754 -0.363 ± 0.795 -0.853 ± 0.795
0.00 - 0.10 -2.149 ± 1.011 0.158 ± 1.012 0.430 ± 0.745 -0.013 ± 0.745 0.712 ± 0.814 0.417 ± 0.814
0.10 - 0.20 -0.035 ± 0.340 0.039 ± 0.340 0.107 ± 0.246 0.192 ± 0.245 0.004 ± 0.267 -0.106 ± 0.267
0.20 - 0.30 -0.032 ± 0.198 -0.430 ± 0.198 -0.039 ± 0.148 -0.011 ± 0.148 -0.245 ± 0.160 0.041 ± 0.161
0.30 - 0.40 0.007 ± 0.148 -0.138 ± 0.147 0.064 ± 0.107 0.003 ± 0.107 -0.099 ± 0.115 0.016 ± 0.115
0.40 - 0.50 0.106 ± 0.120 0.122 ± 0.120 -0.042 ± 0.084 -0.092 ± 0.084 -0.055 ± 0.088 0.044 ± 0.088
0.50 - 0.60 0.018 ± 0.101 0.007 ± 0.101 -0.007 ± 0.070 -0.007 ± 0.070 0.007 ± 0.073 -0.003 ± 0.073
0.60 - 0.70 0.082 ± 0.087 0.018 ± 0.087 0.030 ± 0.061 0.014 ± 0.061 -0.019 ± 0.061 0.074 ± 0.061
0.70 - 0.80 0.141 ± 0.075 -0.066 ± 0.075 -0.059 ± 0.054 -0.100 ± 0.054 -0.012 ± 0.053 0.017 ± 0.053
0.80 - 0.90 -0.068 ± 0.068 0.110 ± 0.068 -0.006 ± 0.048 0.020 ± 0.048 -0.001 ± 0.036 0.024 ± 0.036
0.90 - 1.00 0.056 ± 0.062 0.055 ± 0.062 0.065 ± 0.045 0.025 ± 0.045 0.014 ± 0.043 -0.049 ± 0.043

Figure 3: (updated with alpha = 0.732)

1) Λ η < 0
‹pT› JP1 L2JetHigh Run 5
2.5 -0.001±0.017±0.019 0.007±0.024±0.008 0.013±0.110±0.032
3.5 0.025±0.026±0.006 0.006±0.033±0.005 0.107±0.143±0.038
4.5 -0.023±0.044±0.006 0.005±0.050±0.005 -
6.0 -0.029±0.060±0.009 -0.005±0.059±0.006 -

2) Λ η > 0
‹pT› JP1 L2JetHigh Run 5
2.5 -0.027±0.017±0.020 0.035±0.024±0.008 0.125±0.102±0.031
3.5 0.005±0.026±0.006 -0.013±0.033±0.007 -0.031±0.133±0.035
4.5 -0.021±0.044±0.008 0.007±0.050±0.011 -
6.0 -0.070±0.060±0.012 0.006±0.059±0.014 -

3) anti-Λ η < 0
‹pT› JP1 L2JetHigh Run 5
2.5 0.019±0.012±0.019 -0.041±0.021±0.009 -0.040±0.066±0.023
3.5 -0.019±0.018±0.006 -0.020±0.028±0.005 -0.109±0.085±0.026
4.5 0.006±0.032±0.005 -0.073±0.043±0.007 -
6.0 0.117±0.053±0.011 0.120±0.055±0.010 -

4) anti-Λ η > 0
‹pT› JP1 L2JetHigh Run 5
2.5 -0.004±0.012±0.019 0.001±0.021±0.008 -0.034±0.061±0.020
3.5 0.000±0.018±0.006 0.029±0.028±0.006 -0.120±0.080±0.026
4.5 -0.017±0.032±0.007 -0.054±0.043±0.010 -
6.0 0.072±0.053±0.012 -0.020±0.055±0.014 -

Figure 4: (updated with alpha = 0.732)

‹pT› Λ anti-Λ
2.5 -0.007±0.013±0.016 -0.003±0.010±0.017
3.5 -0.002±0.019±0.006 0.009±0.014±0.006
4.5 -0.009±0.032±0.009 -0.030±0.025±0.008
6.0 -0.031±0.042±0.013 0.028±0.038±0.013