Three-Pion Hanbury Brown Twiss Correlations in Relativistic Heavy-Ion Collisions from the STAR Experiment
C. Adler et al., Phys. Rev. Lett. 91, 262301 (2003)

Figure 1

This table contains the values for the three-pion correlation function using high multiplicity negative pions. Errors are statistical+systematic.

Q3inv (MeV/c) C3 (normalized)
17.5 3.27 +/- 0.36
22.5 3.00 +/- 0.08
27.5 2.63 +/- 0.07
32.5 2.38 +/- 0.04
37.5 2.14 +/- 0.03
42.5 1.93 +/- 0.03
47.5 1.77 +/- 0.02
52.5 1.64 +/- 0.02
57.5 1.54 +/- 0.013
62.5 1.45 +/- 0.010
67.5 1.39 +/- 0.009
72.5 1.33 +/- 0.007
77.5 1.29 +/- 0.005
82.5 1.25 +/- 0.004
87.5 1.22 +/- 0.003
92.5 1.19 +/- 0.003
97.5 1.17 +/- 0.002

Figure 2

This table contains three-pion correlator values (r3/2) for positive and negative pions in central and mid-central events. Errors are statistical+systematic.

Q3inv (MeV/c) r3/2 π- Central r3/2 π+ Central r3/2 π- Mid-central r3/2 π+ Mid-central
12.5 - 0.881 +/- 2.744 - -
17.5 0.940 +/- 0.292 0.658 +/- 0.439 1.140 +/- 1.397 0.797 +/- 6.979
22.5 0.997 +/- 0.121 0.828 +/- 0.118 0.675 +/- 0.216 0.859 +/- 0.634
27.5 0.865 +/- 0.112 0.924 +/- 0.057 0.791 +/- 0.066 1.077 +/- 0.182
32.5 0.861 +/- 0.043 0.960 +/- 0.039 0.740 +/- 0.087 0.695 +/- 0.091
37.5 0.802 +/- 0.035 0.709 +/- 0.032 0.700 +/- 0.025 0.811 +/- 0.052
42.5 0.708 +/- 0.020 0.731 +/- 0.035 0.734 +/- 0.053 0.602 +/- 0.046
47.5 0.636 +/- 0.046 0.619 +/- 0.033 0.646 +/- 0.047 0.693 +/- 0.045
52.5 0.546 +/- 0.032 0.553 +/- 0.049 0.558 +/- 0.050 0.541 +/- 0.032
57.5 0.481 +/- 0.056 0.472 +/- 0.047 0.530 +/- 0.031 0.494 +/- 0.028
62.5 0.386 +/- 0.060 0.382 +/- 0.074 0.460 +/- 0.052 0.406 +/- 0.051
67.5 0.330 +/- 0.069 0.335 +/- 0.073 0.244 +/- 0.044 0.234 +/- 0.049
72.5 0.211 +/- 0.085 0.248 +/- 0.084 0.135 +/- 0.066 0.033 +/- 0.051
77.5 0.200 +/- 0.112 0.116 +/- 0.113 0.016 +/- 0.092 0.012 +/- 0.068
82.5 0.128 +/- 0.148 0.083 +/- 0.142 -0.134 +/- 0.108 -0.113 +/- 0.099
87.5 0.115 +/- 0.201 -0.003 +/- 0.203 -0.065 +/- 0.161 -0.305 +/- 0.144
92.5 0.055 +/- 0.293 -0.050 +/- 0.289 -0.215 +/- 0.255 -0.363 +/- 0.220

Figure 3

This table contains three-pion correlator intercept values (r3(0)/2) for positive and negative pions in central and mid-central events compared with other experiments. Errors are statistical+systematic.

Experiment r3(0)/2 + error - error
WA98 Pb+Pb 0.605 0.181 0.184
NA44 Pb+Pb 0.845 0.232 0.232
NA44 S+Pb 0.197 0.200 0.197
STAR mid,pi-,quad 0.856 0.040 0.046
STAR mid,pi-,quart 0.818 0.027 0.059
STAR mid,pi+,quad 0.910 0.067 0.127
STAR mid,pi+,quart 0.886 0.067 0.084
STAR cent,pi-,quad 1.023 0.043 0.021
STAR cent,pi-,quart 1.069 0.054 0.016
STAR cent,pi+,quad 1.007 0.024 0.024
STAR cent,pi+,quart 1.053 0.032 0.027

Figure 4

This table contains chaotic fraction values (epsilon) for positive and negative pions in central and mid-central events versus dN/deta compared with other experiments. Errors are statistical+systematic.

Experiment dN/deta epsilon + error - error
NA44 S+Pb 100 0.028 0.084 0.028
STAR mid,pi-,quad 280 0.501 0.075 0.075
STAR mid,pi-,quart 280 0.458 0.060 0.079
STAR mid,pi+,quad 280 0.567 0.114 0.160
STAR mid,pi+,quart 280 0.537 0.108 0.113
WA98 Pb+Pb 370 0.254 0.171 0.132
NA44 Pb+Pb 370 0.488 0.359 0.233
STAR cent,pi-,quad 510 0.733 0.144 0.096
STAR cent,pi-,quart 510 0.824 0.249 0.119
STAR cent,pi+,quad 510 0.706 0.112 0.092
STAR cent,pi+,quart 510 0.789 0.224 0.115