Pion Interferometry in Au+Au Collisions at sqrt(sNN) = 200 GeV
J. Adams et al., Phys. Rev. C71, 044906(2005).



Figure 1: sketch of the antisplitting cut

Figure 2: 1D correlation function for for different values of SL (antisplitting cut).

q_inv
 CF (No SL cut)
 CF (SL < 0.8)
 CF (SL < 0.6) CF (SL < 0.4)
0.0025
0.0075
0.0125
0.0175
0.0225
0.0275
0.0325
0.0375
0.0425
0.0475
0.0525
0.0575
0.0625
0.0675
0.0725
0.0775
0.0825
0.0875
0.0925
0.0975
 1.725 +/- 0.051
1.046 +/- 0.015
1.095 +/- 0.009
1.124 +/- 0.007
1.118 +/- 0.005
1.088 +/- 0.004
1.075 +/- 0.004
1.047 +/- 0.003
1.029 +/- 0.003
1.018 +/- 0.003
1.012 +/- 0.002
1.005 +/- 0.002
0.999 +/- 0.002
1.000 +/- 0.002
1.001 +/- 0.002
0.999 +/- 0.002
0.999 +/- 0.002
1.000 +/- 0.001
0.997 +/- 0.001
0.999 +/- 0.001
 0.686 +/- 0.032
0.953 +/- 0.014
1.086 +/- 0.010
1.122 +/- 0.007
1.118 +/- 0.005
1.088 +/- 0.004
1.075 +/- 0.004
1.047 +/- 0.003
1.029 +/- 0.003
1.018 +/- 0.003
1.013 +/- 0.002
1.005 +/- 0.002
0.999 +/- 0.002
1.000 +/- 0.002
1.000 +/- 0.002
0.999 +/- 0.002
0.999 +/- 0.002
1.001 +/- 0.001
0.997 +/- 0.001
0.999 +/- 0.001
 0.542 +/- 0.028
0.941 +/- 0.014
1.084 +/- 0.009
1.121 +/- 0.007
1.118 +/- 0.005
1.088 +/- 0.004
1.075 +/- 0.004
1.047 +/- 0.003
1.029 +/- 0.003
1.018 +/- 0.003
1.012 +/- 0.002
1.005 +/- 0.002
0.999 +/- 0.002
1.000 +/- 0.002
1.001 +/- 0.002
0.999 +/- 0.002
0.999 +/- 0.002
1.001 +/- 0.001
0.997 +/- 0.001
0.999 +/- 0.001
 0.522 +/- 0.023
0.941 +/- 0.014
1.084 +/- 0.009
1.122 +/- 0.007
1.120 +/- 0.005
1.089 +/- 0.004
1.075 +/- 0.004
1.047 +/- 0.003
1.029 +/- 0.003
1.017 +/- 0.003
1.012 +/- 0.002
1.005 +/- 0.002
0.999 +/- 0.002
1.000 +/- 0.002
1.001 +/- 0.002
0.999 +/- 0.002
0.999 +/- 0.002
1.001 +/- 0.001
0.997 +/- 0.001
0.999 +/- 0.001


Figure 3: 1D correlation functions for differeny values of the maximum fraction of merged hits allowed

q_inv (GeV/c)
 C (FMH < 100%)
 C (FMH < 60%) C (FMH < 20%) C (FMH < 10%) C (FMH < 5%)
0.0025
0.0075
0.0125
0.0175
0.0225
0.0275
0.0325
0.0375
0.0425
0.0475
0.0525
0.0575
0.0625
0.0675
0.0725
0.0775
0.0825
0.0875
0.0925
0.0975

 0.550 +/- 0.029
0.971 +/- 0.011
1.084 +/- 0.007
1.093 +/- 0.005
1.084 +/- 0.004
1.055 +/- 0.003
1.034 +/- 0.003
1.016 +/- 0.002
1.010 +/- 0.002
1.004 +/- 0.002
1.002 +/- 0.002
0.997 +/- 0.002
0.999 +/- 0.002
0.996 +/- 0.002
1.000 +/- 0.002
0.998 +/- 0.002
0.998 +/- 0.002
0.997 +/- 0.002
0.999 +/- 0.002
0.997 +/- 0.002

 0.940 +/- 0.066
1.073 +/- 0.014
1.130 +/- 0.008
1.111 +/- 0.005
1.093 +/- 0.004
1.059 +/- 0.003
1.035 +/- 0.003
1.016 +/- 0.002
1.011 +/- 0.002
1.005 +/- 0.002
1.003 +/- 0.002
0.997 +/- 0.002
1.000 +/- 0.002
0.996 +/- 0.002
1.000 +/- 0.002
0.998 +/- 0.002
0.999 +/- 0.002
0.998 +/- 0.002
0.999 +/- 0.002
0.997 +/- 0.002

 0.944 +/- 0.090
1.115 +/- 0.018
1.150 +/- 0.008
1.128 +/- 0.006
1.106 +/- 0.004
1.069 +/- 0.003
1.044 +/- 0.002
1.023 +/- 0.003
1.016 +/- 0.002
1.009 +/- 0.002
1.006 +/- 0.002
0.999 +/- 0.002
1.001 +/- 0.002
0.997 +/- 0.002
1.001 +/- 0.002
0.999 +/- 0.002
1.000 +/- 0.002
0.998 +/- 0.002
1.000 +/- 0.002
0.997 +/- 0.002

 1.133 +/- 0.133
1.145 +/- 0.025
1.159 +/- 0.009
1.136 +/- 0.006
1.110 +/- 0.004
1.072 +/- 0.004
1.046 +/- 0.003
1.025 +/- 0.003
1.017 +/- 0.002
1.010 +/- 0.002
1.007 +/- 0.002
1.000 +/- 0.002
1.003 +/- 0.002
0.999 +/- 0.002
1.002 +/- 0.002
0.999 +/- 0.002
1.000 +/- 0.002
0.999 +/- 0.002
1.001 +/- 0.002
0.997 +/- 0.002

 1.140 +/- 0.160
1.170 +/- 0.034
1.165 +/- 0.010
1.139 +/- 0.006
1.111 +/- 0.004
1.074 +/- 0.004
1.047 +/- 0.003
1.026 +/- 0.003
1.017 +/- 0.002
1.009 +/- 0.002
1.007 +/- 0.002
1.000 +/- 0.002
1.002 +/- 0.002
0.999 +/- 0.002
1.002 +/- 0.002
0.999 +/- 0.002
1.000 +/- 0.002
0.999 +/- 0.002
1.001 +/- 0.002
0.997 +/- 0.002


Figure 4: Projections of the 3 dimensional correlation function and corresponding fits for negative pions from the 0-5% most central events and k_T = [150,250] MeV/c according to the standard and Bowler-Sinyukov procedures.
Q (GeV/c)
 C (Qout)
 C (Qout) CC
 C (Qside)
 C (Qside) CC
 C (Qlong)
 C (Qlong) CC
0.0025
0.0075
0.0125
0.0175
0.0225
0.0275
0.0325
0.0375
0.0425
0.0475
0.0525
0.0575
0.0625
0.0675
0.0725
0.0775
0.0825
0.0875
0.0925
0.0975
0.1025
0.1075
0.1125
0.1175
0.1225
0.1275
0.1325
0.1375
0.1425
0.1475
 1.127 +/- 0.001
1.120 +/- 0.001
1.107 +/- 0.001
1.088 +/- 0.001
1.072 +/- 0.001
1.054 +/- 0.001
1.037 +/- 0.001
1.025 +/- 0.001
1.014 +/- 0.001
1.007 +/- 0.001
1.001 +/- 0.001
0.998 +/- 0.001
0.995 +/- 0.001
0.995 +/- 0.001
0.994 +/- 0.001
0.994 +/- 0.001
0.994 +/- 0.001
0.994 +/- 0.001
0.995 +/- 0.001
0.994 +/- 0.001
0.996 +/- 0.001
0.997 +/- 0.001
0.996 +/- 0.001
0.996 +/- 0.001
0.997 +/- 0.001
0.997 +/- 0.001
0.997 +/- 0.001
0.998 +/- 0.001
1.000 +/- 0.001
0.997 +/- 0.001

 1.253 +/- 0.001
1.240 +/- 0.001
1.218 +/- 0.001
1.188 +/- 0.001
1.161 +/- 0.001
1.133 +/- 0.001
1.107 +/- 0.001
1.086 +/- 0.001
1.068 +/- 0.001
1.055 +/- 0.001
1.044 +/- 0.001
1.037 +/- 0.001
1.030 +/- 0.001
1.027 +/- 0.001
1.023 +/- 0.001
1.020 +/- 0.001
1.018 +/- 0.001
1.016 +/- 0.001
1.015 +/- 0.001
1.012 +/- 0.001
1.012 +/- 0.001
1.011 +/- 0.001
1.009 +/- 0.001
1.007 +/- 0.001
1.007 +/- 0.001
1.006 +/- 0.001
1.005 +/- 0.001
1.005 +/- 0.001
1.006 +/- 0.001
1.002 +/- 0.001

 1.095 +/- 0.001
1.101 +/- 0.001
1.108 +/- 0.001
1.104 +/- 0.001
1.091 +/- 0.001
1.075 +/- 0.001
1.059 +/- 0.001
1.046 +/- 0.001
1.033 +/- 0.001
1.023 +/- 0.001
1.015 +/- 0.001
1.010 +/- 0.001
1.006 +/- 0.001
1.004 +/- 0.001
1.002 +/- 0.001
1.003 +/- 0.001
0.999 +/- 0.001
1.000 +/- 0.001
1.000 +/- 0.001
1.000 +/- 0.001
1.000 +/- 0.001
1.001 +/- 0.001
1.000 +/- 0.001
1.000 +/- 0.001
1.001 +/- 0.001
1.000 +/- 0.001
1.000 +/- 0.001
1.000 +/- 0.001
1.000 +/- 0.001
1.002 +/- 0.001

 1.238 +/- 0.001
1.246 +/- 0.001
1.233 +/- 0.001
1.203 +/- 0.001
1.168 +/- 0.001
1.134 +/- 0.001
1.106 +/- 0.001
1.085 +/- 0.001
1.065 +/- 0.001
1.049 +/- 0.001
1.036 +/- 0.001
1.027 +/- 0.001
1.020 +/- 0.001
1.014 +/- 0.001
1.011 +/- 0.001
1.009 +/- 0.001
1.003 +/- 0.001
1.003 +/- 0.001
1.002 +/- 0.001
1.001 +/- 0.001
1.000 +/- 0.001
1.000 +/- 0.001
0.998 +/- 0.001
0.998 +/- 0.001
0.998 +/- 0.001
0.997 +/- 0.001
0.997 +/- 0.001
0.997 +/- 0.001
0.997 +/- 0.001
0.998 +/- 0.001

 1.127 +/- 0.001
1.122 +/- 0.001
1.113 +/- 0.001
1.096 +/- 0.001
1.072 +/- 0.001
1.053 +/- 0.001
1.037 +/- 0.001
1.024 +/- 0.001
1.018 +/- 0.001
1.012 +/- 0.001
1.010 +/- 0.001
1.006 +/- 0.001
1.004 +/- 0.001
1.004 +/- 0.001
1.003 +/- 0.001
1.002 +/- 0.001
1.003 +/- 0.001
1.003 +/- 0.001
1.002 +/- 0.001
1.002 +/- 0.001
1.002 +/- 0.001
1.002 +/- 0.001
1.001 +/- 0.001
1.002 +/- 0.001
1.001 +/- 0.001
1.001 +/- 0.001
1.001 +/- 0.001
1.001 +/- 0.001
1.002 +/- 0.001
1.001 +/- 0.001

 1.281 +/- 0.001
1.263 +/- 0.001
1.239 +/- 0.001
1.195 +/- 0.001
1.148 +/- 0.001
1.111 +/- 0.001
1.084 +/- 0.001
1.062 +/- 0.001
1.050 +/- 0.001
1.038 +/- 0.001
1.031 +/- 0.001
1.022 +/- 0.001
1.018 +/- 0.001
1.014 +/- 0.001
1.011 +/- 0.001
1.008 +/- 0.001
1.007 +/- 0.001
1.007 +/- 0.001
1.004 +/- 0.001
1.002 +/- 0.001
1.001 +/- 0.001
1.001 +/- 0.001
1.000 +/- 0.001
1.000 +/- 0.001
1.000 +/- 0.001
0.998 +/- 0.001
0.998 +/- 0.001
0.999 +/- 0.001
0.999 +/- 0.001
0.998 +/- 0.001


Figure 5: HBT parameters for the three possible fitting procedures to the correlation functions described in this paper depending on how Coulomb interaction is taken into account from the 0-5% most central events. Error bars contain only statistical uncertainties.

k_T (GeV/c)
 lambda
 Rout (fm) Rside (fm) Rlong (fm)

0.2
0.3
0.4
0.525
standard
 dilution
 Bowler-S
0.405 +/- 0.001
0.483 +/- 0.002
0.498 +/- 0.002
0.499 +/- 0.003
 0.274 +/- 0.001
0.396 +/- 0.002
0.427 +/- 0.002
0.443 +/- 0.003
 0.300 +/- 0.001
0.418 +/- 0.002
0.455 +/- 0.002
0.473 +/- 0.003
standard
 dilution
 Bowler-S
5.04 +/- 0.01
4.63 +/- 0.01
4.16 +/- 0.02
3.74 +/- 0.02
 6.07 +/- 0.02
5.47 +/- 0.02
4.87 +/- 0.02
4.27 +/- 0.02
  6.16 +/- 0.01
 5.51 +/- 0.01
 4.88 +/- 0.02
 4.32 +/- 0.02
standard
 dilution
 Bowler-S
5.44 +/- 0.01
4.96 +/- 0.01
4.54 +/- 0.01
4.13 +/- 0.02
 5.25 +/- 0.01
4.86 +/- 0.01
4.45 +/- 0.02
4.05 +/- 0.02
 5.39 +/- 0.01
4.93 +/- 0.01
4.53 +/- 0.01
4.14 +/- 0.02

standard
 dilution
 Bowler-S
6.19 +/- 0.01
5.53 +/- 0.01
4.85 +/- 0.02
4.20 +/- 0.02
 6.49 +/- 0.02
5.63 +/- 0.02
4.85 +/- 0.02
4.15 +/- 0.02
  6.64 +/- 0.02
 5.72 +/- 0.02
 4.94 +/- 0.02
 4.25 +/- 0.02



Figure 6: 1D correlation function for pi+pi- compared to standard, Bowler-Sinyukov, and a thoretical calculation that includes Coulomb and strong interactions.

q_inv
 CF for pi+pi-
 Theoretical
Calculation
 Kcoul to calculate:
Standard Function = Kcoul(q_inv)
Bowler Function = lambda*(Kcoul(q_inv)-1)+1);
lambda = 0.29958 -> 0.30
0.00125
0.00375
0.00625
0.00875
0.01125
0.01375
0.01625
0.01875
0.02125
0.02375
0.02625
0.02875
0.03125
0.03375
0.03625
0.03875
0.04125
0.04375
0.04625
0.04875
0.05125
0.05375
0.05625
0.05875
0.06125
0.06375
0.06625
0.06875
0.07125
0.07375
0.07625
0.07875
0.08125
0.08375
0.08625
0.08875
0.09125
0.09375
0.09625
0.09875
0.10125
0.10375
0.10625
0.10875
0.11125
0.11375
0.11625
0.11875
0.12125
0.12375
0.12625
0.12875
0.13125
0.13375
0.13625
0.13875
0.14125
0.14375
 1.36 +/- 0.03
1.27 +/- 0.01
1.19 +/- 0.01
1.14 +/- 0.004
1.12 +/- 0.003
1.08 +/- 0.002
1.07 +/- 0.002
1.06 +/- 0.002
1.05 +/- 0.002
1.04 +/- 0.002
1.03 +/- 0.001
1.03 +/- 0.001
1.03 +/- 0.001
1.02 +/- 0.001
1.02 +/- 0.001
1.02 +/- 0.001
1.02 +/- 0.001
1.02 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
 1.85 +/- 0.36
1.31 +/- 0.14
1.18 +/- 0.08
1.12 +/- 0.06
1.09 +/- 0.04
1.07 +/- 0.04
1.06 +/- 0.03
1.05 +/- 0.02
1.04 +/- 0.02
1.04 +/- 0.02
1.03 +/- 0.02
1.03 +/- 0.01
1.03 +/- 0.01
1.02 +/- 0.01
1.02 +/- 0.01
1.02 +/- 0.01
1.02 +/- 0.01
1.01 +/- 0.01
1.01 +/- 0.01
1.01 +/- 0.01
1.01 +/- 0.01
1.01 +/- 0.01
1.01 +/- 0.004
1.01 +/- 0.004
1.01 +/- 0.004
1.01 +/- 0.003
1.01 +/- 0.003
1.01 +/- 0.003
1.00 +/- 0.002
1.00 +/- 0.002
1.00 +/- 0.002
1.00 +/- 0.002
1.00 +/- 0.002
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
 4.92+/- 0.03
1.99 +/- 0.01
1.53 +/- 0.01
1.35 +/- 0.004
1.25 +/- 0.003
1.20 +/- 0.003
1.16 +/- 0.002
1.13 +/- 0.002
1.11 +/- 0.002
1.10 +/- 0.002
1.08 +/- 0.001
1.07 +/- 0.001
1.06 +/- 0.001
1.05 +/- 0.001
1.05 +/- 0.001
1.04 +/- 0.001
1.04 +/- 0.001
1.04 +/- 0.001
1.03 +/- 0.001
1.03 +/- 0.001
1.03 +/- 0.001
1.02 +/- 0.001
1.02 +/- 0.001
1.02 +/- 0.001
1.02 +/- 0.001
1.02 +/- 0.001
1.02 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001


Figure 7: Momentum resolution for pions at midrapidity expressed by the widths dp_T/p_T, dphi and dtheta a a function of p

p (GeV/c)
 dp_T/p_T
 dphi
 dtheta
0.125
0.175
0.225
0.275
0.325
0.375
0.425
0.475
0.525
0.575
0.625
0.675
0.725
0.775
0.825
0.875
0.925
0.975
1.025
1.075
1.125
1.175
1.225
1.275
1.325
1.375
1.425
1.475
1.525
1.575
1.625
1.675
1.725
1.775
1.825
1.875
1.925
1.975
 0.0196 +/- 0.0013
0.0154 +/- 0.0006
0.0117 +/- 0.0004
0.0112 +/- 0.0004
0.0107 +/- 0.0004
0.0111 +/- 0.0004
0.0107 +/- 0.0004
0.0107 +/- 0.0004
0.0111 +/- 0.0004
0.0112 +/- 0.0004
0.0102 +/- 0.0003
0.0110 +/- 0.0004
0.0112 +/- 0.0004
0.0111 +/- 0.0004
0.0110 +/- 0.0004
0.0117 +/- 0.0004
0.0115 +/- 0.0004
0.0120 +/- 0.0004
0.0119 +/- 0.0004
0.0107 +/- 0.0004
0.0119 +/- 0.0004
0.0125 +/- 0.0005
0.0128 +/- 0.0004
0.0120 +/- 0.0004
0.0131 +/- 0.0005
0.0119 +/- 0.0004
0.0131 +/- 0.0004
0.0127 +/- 0.0004
0.0145 +/- 0.0006
0.0133 +/- 0.0004
0.0138 +/- 0.0005
0.0139 +/- 0.0005
0.0134 +/- 0.0005
0.0148 +/- 0.0004
0.0150 +/- 0.0005
0.0138 +/- 0.0004
0.0153 +/- 0.0005
0.0149 +/- 0.0006
 0.0210 +/- 0.0017
0.0168 +/- 0.0006
0.0125 +/- 0.0004
0.0114 +/- 0.0003
0.0108 +/- 0.0003
0.0109 +/- 0.0003
0.0111 +/- 0.0003
0.0106 +/- 0.0003
0.0104 +/- 0.0003
0.0106 +/- 0.0003
0.0100 +/- 0.0003
0.0104 +/- 0.0003
0.0096 +/- 0.0004
0.0102 +/- 0.0003
0.0098 +/- 0.0004
0.0093 +/- 0.0004
0.0106 +/- 0.0003
0.0097 +/- 0.0004
0.0099 +/- 0.0004
0.0103 +/- 0.0003
0.0100 +/- 0.0003
0.0098 +/- 0.0004
0.0099 +/- 0.0003
0.0093 +/- 0.0004
0.0098 +/- 0.0004
0.0101 +/- 0.0003
0.0094 +/- 0.0004
0.0099 +/- 0.0003
0.0096 +/- 0.0003
0.0099 +/- 0.0003
0.0094 +/- 0.0004
0.0095 +/- 0.0004
0.0096 +/- 0.0004
0.0090 +/- 0.0004
0.0090 +/- 0.0004
0.0084 +/- 0.0005
0.0093 +/- 0.0005
0.0082 +/- 0.0007
 0.0230 +/- 0.0024
0.0151 +/- 0.0005
0.0125 +/- 0.0004
0.0108 +/- 0.0003
0.0103 +/- 0.0003
0.0102 +/- 0.0003
0.0087 +/- 0.0004
0.0091 +/- 0.0004
0.0090 +/- 0.0004
0.0088 +/- 0.0006
0.0090 +/- 0.0004
0.0141 +/- 0.0012
0.0086 +/- 0.0006
0.0084 +/- 0.0005
0.0082 +/- 0.0005
0.0082 +/- 0.0005
0.0082 +/- 0.0007
0.0082 +/- 0.0005
0.0088 +/- 0.0006
0.0086 +/- 0.0006
0.0087 +/- 0.0004
0.0082 +/- 0.0005
0.0082 +/- 0.0005
0.0087 +/- 0.0006
0.0082 +/- 0.0005
0.0081 +/- 0.0007
0.0084 +/- 0.0005
0.0081 +/- 0.0007
0.0081 +/- 0.0007
0.0085 +/- 0.0004
0.0083 +/- 0.0007
0.0091 +/- 0.0004
0.0084 +/- 0.0005
0.0081 +/- 0.0007
0.0088 +/- 0.0006
0.0142 +/- 0.0008
0.0082 +/- 0.0007
0.0087 +/- 0.0006




Figure 8: Squared HBT radii relative to the reaction plane angle, without and with the reaction plane resolution applied, for two different centrality-kT ranges. The solid lines show allowed fits to the individual oscillations.

20-30%, 0.15 < kT < 0.25, RP uncorrected
Angle (o) Lambda (fixed) Rout2 Rside2 Rlong2 Routside2
0 0.361 22.96 +- 0.56 20.48 +- 0.60 31.60 +- 0.61 0.03 +- 0.41
45 0.361 24.25 +- 0.63 19.45 +- 0.46 32.77 +- 0.84 1.26 +- 0.45
90 0.361 26.40 +- 0.72 18.10 +- 0.44 32.20 +- 0.87 -0.32 +- 0.46
135 0.361 25.71 +- 0.66 19.09 +- 0.44 32.37 +- 0.82 -1.26 +- 0.44
20-30%, 0.15 < kT < 0.25, RP res. corrected
Angle (o) Lambda (fixed) Rout2 Rside2 Rlong2 Routside2
0 0.360 22.54 +- 0.56 20.77 +- 0.47 31.43 +- 0.76 0.10 +- 0.41
45 0.360 24.04 +- 0.63 19.47 +- 0.46 32.76 +- 0.84 1.62 +- 0.45
90 0.360 26.98 +- 0.75 17.70 +- 0.43 32.17 +- 0.88 -0.34 +- 0.47
135 0.360 25.90 +- 0.67 19.01 +- 0.44 32.23 +- 0.82 -1.62 +- 0.44
10-20%, 0.35 < kT < 0.45, RP uncorrected
Angle (o) Lambda (fixed) Rout2 Rside2 Rlong2 Routside2
0 0.470 15.76 +- 0.39 16.03 +- 0.33 17.04 +- 0.37 -0.54 +- 0.27
45 0.470 17.00 +- 0.46 15.36 +- 0.34 16.87 +- 0.40 1.63 +- 0.30
90 0.470 17.85 +- 0.48 14.12 +- 0.33 17.32 +- 0.41 0.80 +- 0.29
135 0.470 17.37 +- 0.46 15.09 +- 0.33 16.85 +- 0.40 -1.38 +- 0.29
10-20%, 0.35 < kT < 0.45, RP res. corrected
Angle (o) Lambda (fixed) Rout2 Rside2 Rlong2 Routside2
0 0.471 15.54 +- 0.38 16.30 +- 0.33 17.00 +- 0.36 -0.69 +- 0.26
45 0.471 16.98 +- 0.47 15.45 +- 0.35 16.94 +- 0.37 2.16 +- 0.31
90 0.471 18.35 +- 0.56 13.72 +- 0.33 17.33 +- 0.45 1.14 +- 0.33
135 0.471 17.45 +- 0.46 15.10 +- 0.32 16.86 +- 0.40 -1.88 +- 0.29


Figure 9: Squared HBT radii relative to the reaction plane angle, for the case where the lambda parameter is averaged and fixed in the fit, and the case where lambda is a free fit parameter for each Phi. The solid lines show allowed fits to the individual oscillations.

20-30%, 0.15 < kT < 0.25, Fixed lambda
Angle (o) Lambda Rout2 Rside2 Rlong2 Routside2
0 0.360 22.53 +- 0.56 20.77 +- 0.47 31.43 +- 0.76 0.10 +- 0.41
45 0.360 24.04 +- 0.63 19.47 +- 0.46 32.76 +- 0.84 1.62 +- 0.45
90 0.360 26.98 +- 0.75 17.70 +- 0.43 32.17 +- 0.88 -0.34 +- 0.47
135 0.360 25.94 +- 0.66 19.01 +- 0.40 32.52 +- 0.77 -1.73 +- 0.42
20-30%, 0.15 < kT < 0.25, Variable lambda
Angle (o) Lambda Rout2 Rside2 Rlong2 Routside2
0 0.351 +- 0.007 22.20 +- 0.62 20.39 +- 0.55 30.77 +- 0.90 0.08 +- 0.41
45 0.367 +- 0.008 24.26 +- 0.70 19.70 +- 0.56 33.17 +- 1.01 1.63 +- 0.45
90 0.357 +- 0.008 26.84 +- 0.83 17.57 +- 0.53 31.90 +- 1.04 -0.36 +- 0.47
135 0.368 +- 0.008 26.18 +- 0.74 19.27 +- 0.53 32.74 +- 0.97 -1.63 +- 0.44
10-20%, 0.35 < kT < 0.45, Fixed lambda
Angle (o) Lambda Rout2 Rside2 Rlong2 Routside2
0 0.471 15.54 +- 0.38 16.30 +- 0.33 17.00 +- 0.36 -0.69 +- 0.26
45 0.471 16.98 +- 0.48 15.46 +- 0.35 16.94 +- 0.38 2.16 +- 0.31
90 0.471 18.35 +- 0.56 13.72 +- 0.33 17.33 +- 0.45 1.14 +- 0.33
135 0.471 17.49 +- 0.48 15.12 +- 0.33 16.88 +- 0.41 -1.87 +- 0.29
10-20%, 0.35 < kT < 0.45, Variable lambda
Angle (o) Lambda Rout2 Rside2 Rlong2 Routside2
0 0.461 +- 0.009 15.40 +- 0.41 16.08 +- 0.39 16.73 +- 0.45 -0.69 +- 0.26
45 0.454 +- 0.010 16.67 +- 0.49 15.06 +- 0.41 16.39 +- 0.49 2.13 +- 0.30
90 0.479 +- 0.011 18.50 +- 0.60 13.88 +- 0.40 17.56 +- 0.56 1.14 +- 0.33
135 0.489 +- 0.011 17.74 +- 0.50 15.50 +- 0.40 17.40 +- 0.52 -1.90 +- 0.29
Figure 10: Sketch of track merging.



Figure 11: Fourier coefficients as a function of the maximum fraction of merged hits for the 5% most central events and kT between 150 and 250 MeV/c.

Means (0th-order FC), piPlus
Max Frac. Rout2 Rside2 Rlong2 Routside2
0.0 33.50 +- 0.73 25.84 +- 0.47 42.80 +- 0.76 0.74 +- 0.44
0.1 34.86 +- 0.68 26.02 +- 0.45 42.84 +- 0.87 1.03 +- 0.45
0.2 36.35 +- 0.70 26.03 +- 0.47 42.53 +- 0.82 1.35 +- 0.50
0.3 38.30 +- 0.67 25.84 +- 0.48 42.00 +- 0.78 1.82 +- 0.52
0.4 40.36 +- 0.75 25.85 +- 0.49 41.64 +- 0.75 2.34 +- 0.53
0.5 43.50 +- 0.69 26.03 +- 0.47 41.51 +- 0.68 3.43 +- 0.50
0.7 46.95 +- 0.86 25.54 +- 0.49 39.89 +- 0.74 4.49 +- 0.56
1.0 48.69 +- 0.97 23.99 +- 0.51 36.73 +- 0.74 5.22 +- 0.64
Relative amplitudes, piPlus
Max Frac. Rout2 Rside2 Rlong2 Routside2
0.0 -0.075 +- 0.021 0.007 +- 0.013 -0.003 +- 0.014 0.033 +- 0.011
0.1 -0.082 +- 0.020 0.009 +- 0.013 -0.003 +- 0.014 0.036 +- 0.011
0.2 -0.084 +- 0.018 0.008 +- 0.013 -0.003 +- 0.014 0.033 +- 0.013
0.3 -0.079 +- 0.017 0.007 +- 0.013 -0.006 +- 0.014 0.032 +- 0.014
0.4 -0.085 +- 0.021 0.008 +- 0.014 -0.006 +- 0.013 0.032 +- 0.014
0.5 -0.079 +- 0.019 0.012 +- 0.013 -0.001 +- 0.013 0.039 +- 0.013
0.7 -0.089 +- 0.023 0.014 +- 0.013 -0.000 +- 0.012 0.035 +- 0.016
1.0 -0.117 +- 0.029 0.012 +- 0.016 -0.005 +- 0.014 0.038 +- 0.018
Means (0th-order FC), piMinus
Max Frac. Rout2 Rside2 Rlong2 Routside2
0.0 35.12 +- 0.76 25.90 +- 0.49 41.55 +- 0.84 -0.42 +- 0.52
0.1 35.70 +- 0.75 26.18 +- 0.49 41.66 +- 0.82 -0.63 +- 0.50
0.2 37.13 +- 0.76 26.12 +- 0.49 41.30 +- 0.83 -0.96 +- 0.50
0.3 38.98 +- 0.77 26.07 +- 0.49 40.86 +- 0.82 -1.40 +- 0.53
0.4 41.12 +- 0.77 26.08 +- 0.49 40.51 +- 0.82 -1.93 +- 0.52
0.5 43.83 +- 0.81 26.00 +- 0.50 39.76 +- 0.79 -2.61 +- 0.54
0.7 47.85 +- 0.91 25.47 +- 0.49 38.25 +- 0.79 -3.68 +- 0.57
1.0 50.17 +- 1.01 23.88 +- 0.49 35.18 +- 0.78 -4.59 +- 0.59
Relative amplitudes, piMinus
Max Frac. Rout2 Rside2 Rlong2 Routside2
0.0 -0.070 +- 0.023 0.005 +- 0.014 0.016 +- 0.014 0.016 +- 0.014
0.1 -0.061 +- 0.022 0.005 +- 0.013 0.014 +- 0.014 0.015 +- 0.013
0.2 -0.064 +- 0.022 0.006 +- 0.013 0.014 +- 0.014 0.015 +- 0.013
0.3 -0.067 +- 0.022 0.006 +- 0.014 0.014 +- 0.014 0.013 +- 0.013
0.4 -0.068 +- 0.021 0.007 +- 0.014 0.013 +- 0.015 0.013 +- 0.014
0.5 -0.072 +- 0.022 0.008 +- 0.014 0.014 +- 0.014 0.015 +- 0.014
0.7 -0.081 +- 0.026 0.009 +- 0.014 0.015 +- 0.015 0.016 +- 0.015
1.0 -0.105 +- 0.031 0.011 +- 0.015 0.017 +- 0.016 0.017 +- 0.017
Figure 12: Projections of the 3 dimensional correlation function and fits to Eq. (10) (left) and with the Edgeworth expansion to Eq. (17) to 6th order (right).

q (GeV/c)
 C (qout)
 C (qside)
 C (qlong)
0.0025
0.0075
0.0125
0.0175
0.0225
0.0275
0.0325
0.0375
0.0425
0.0475
0.0525
0.0575
0.0625
0.0675
0.0725
0.0775
0.0825
0.0875
0.0925
0.0975
0.1025
0.1075
0.1125
0.1175
0.1225
0.1275
0.1325
0.1375
0.1425
0.1475
 1.13 +/- 0.001
1.12 +/- 0.001
1.11 +/- 0.001
1.09 +/- 0.001
1.07 +/- 0.001
1.05 +/- 0.001
1.04 +/- 0.001
1.02 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
0.99 +/- 0.001
0.99 +/- 0.001
0.99 +/- 0.001
0.99 +/- 0.001
0.99 +/- 0.001
1.00 +/- 0.001
0.99 +/- 0.001
1/00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
 1.09 +/- 0.001
1.10 +/- 0.001
1.11 +/- 0.001
1.10 +/- 0.001
1.09 +/- 0.001
1.07 +/- 0.001
1.06 +/- 0.001
1.05 +/- 0.001
1.03 +/- 0.001
1.02 +/- 0.001
1.02 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
 1.13 +/- 0.001
1.12 +/- 0.001
1.11 +/- 0.001
1.10 +/- 0.001
1.07 +/- 0.001
1.05 +/- 0.001
1.04 +/- 0.001
1.02 +/- 0.001
1.02 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.01 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001
1.00 +/- 0.001


Figure 13: HBT parameters for the 0-5% most central events for fits to Eq. (10) and to Eq. (17) to 4th and to 6th orders. Error bars reflect only statistical uncertainties.

No expansion

 150-250 MeV/c
 250-350 MeV/c 350-450 MeV/c 450-600 MeV/c
lambda
 0.30 +/- 0.01
 0.42 +/- 0.01 0.45 +/- 0.01 0.47 +/- 0.01
Rout (fm) 6.16 +/- 0.01 5.51 +/- 0.01 4.88 +/- 0.02 4.32 +/- 0.02
Rside (fm) 5.39 +/- 0.01 4.93 +/- 0.01 4.53 +/- 0.01 4.14 +/- 0.02
Rlong (fm) 6.64 +/- 0.02 5.72 +/- 0.02 4.94 +/- 0.02 4.25 +/- 0.02

Up to 4th order expansion

150-250 MeV/c
 250-350 MeV/c 350-450 MeV/c 450-600 MeV/c
lambda
 0.24 +/- 0.01 0.36 +/- 0.01 0.41 +/- 0.01 0.43 +/- 0.01
Rout (fm) 6.07 +/- 0.04 5.40 +/- 0.03 4.75 +/- 0.03 4.14 +/- 0.04
Rside (fm) 5.27 +/- 0.03 4.98 +/- 0.03 4.68 +/- 0.03 4.36 +/- 0.03
Rlong (fm) 5.47 +/- 0.04 4.92 +/- 0.03 4.33 +/- 0.04 3.82 +/- 0.04

Up to 6th order expansion
k_T (MeV/c)
 150-250
 250-350 350-450
 450-600
lambda
 0.23 +/- 0.01 0.35 +/- 0.01 0.41 +/- 0.01 0.44 +/- 0.01
Rout (fm) 6.05 +/- 0.05 5.40 +/- 0.04 4.78 +/- 0.04 4.17 +/- 0.04
Rside (fm) 5.01 +/- 0.05 4.74 +/- 0.04 4.57 +/- 0.04 4.26 +/- 0.04
Rlong (fm)  5.01+/- 0.05 5.01 +/- 0.04 4.43 +/- 0.04 3.91 +/- 0.04


Figure 14: HBT parameters for the 0-5% most central events for pi+pi+ and pi-pi- correlation functions. Error bars include statistical and systematic uncertainties.

m_T (GeV/c2)
 0.223
 0.264
 0.308
 0.353
 0.400
 0.447
 0.492
 0.558
lambda (pi-pi-)
 0.264 +/- 0.002
 0.350 +/- 0.002
 0.400 +/- 0.003
 0.448 +/- 0.004
 0.452 +/- 0.004
 0.467 +/- 0.005
 0.472 +/- 0.006
 0.482 +/- 0.006
lambda (pi+pi+) 0.274 +/- 0.002
 0.359 +/- 0.002
  0.414 +/- 0.003
 0.434 +/- 0.004
 0.452 +/- 0.004
 0.472 +/- 0.005
 0.485 +/- 0.006
 0.474 +/- 0.006
Rout (pi-pi-) (fm) 6.37 +/- 0.04
 6.04 +/- 0.18
 5.65 +/- 0.18
 5.32 +/- 0.18
 5.11 +/- 0.18
 4.85 +/- 0.18
 4.56 +/- 0.17
 4.17 +/- 0.16
Rout (pi+pi+) (fm) 6.31 +/- 0.19
 6.01 +/- 0.18
 5.70 +/- 0.19
 5.32 +/- 0.18
 5.08 +/- 0.18
 4.76 +/- 0.17
 4.67 +/- 0.18
 4.22 +/- 0.16
Rside (pi-pi-) (fm) 5.64 +/- 0.03
 5.24 +/- 0.03
 5.04 +/- 0.04
 4.89 +/- 0.04
 4.71 +/- 0.11
 4.51 +/- 0.11
 4.38 +/- 0.12
 4.16 +/- 0.11
Rside (pi+pi+) (fm) 5.56 +/- 0.04
 5.24 +/- 0.03
 5.09 +/- 0.04
 4.83 +/- 0.04
 4.72 +/- 0.11
 4.53 +/- 0.11
 4.37 +/- 0.11
 4.11 +/- 0.11
Rlong (pi-pi-) (fm) 7.06 +/- 0.03
 6.47 +/- 0.04
 5.99 +/- 0.06
 5.62 +/- 0.06
 5.23 +/- 0.17
 4.86 +/- 0.16
 4.55 +/- 0.16
 4.15 +/- 0.14
Rlong (pi+pi+) (fm) 7.02 +/- 0.04
 6.44 +/- 0.04
 6.02 +/- 0.06
 5.44 +/- 0.06
 5.15 +/- 0.17
 4.86 +/- 0.16
 4.55 +/- 0.16
 4.19 +/- 0.14


Figure 15: HBT parameters from STAR and PHENIX at the same beam energy for the 0-30% most central events. Error bars includes statistical and systematic uncertainties.

STAR values
k_T (GeV/c2)
 0.175
 0.225
 0.275 0.325
 0.375 0.425
 0.475 0.550
lambda (pi-pi-) 0.248 +/- 0.001
 0.357 +/- 0.002
 0.405 +/- 0.002
 0.437 +/- 0.003
 0.452 +/- 0.003
 0.469 +/- 0.004
 0.476 +/- 0.004
 0.490 +/- 0.005
lambda (pi+pi+) 0.258 +/- 0.001
 0.367 +/- 0.002
 0.414 +/- 0.003
 0.435 +/- 0.003
 0.44 +/- 0.004
 0.470 +/- 0.004
 0.483 +/- 0.005
 0.483 +/- 0.005
Rout (pi-pi-) (fm)
 6.07 +/- 0.17
 5.90 +/- 0.16
 5.57 +/- 0.17
 5.22 +/- 0.16
 4.96 +/- 0.19
 4.72 +/- 0.19
 4.44 +/- 0.18
 4.05 +/- 0.16
Rout (pi+pi+) (fm) 6.09 +/- 0.17
 5.91 +/- 0.17
 5.59 +/- 0.18
 5.23 +/- 0.17
 4.92 +/- 0.19
 4.64 +/- 0.19
 4.47 +/- 0.19
 4.05 +/- 0.17
Rside (pi-pi-) (fm) 5.36 +/- 0.05
 5.09 +/- 0.05
 4.94 +/- 0.06
 4.72 +/- 0.06
 4.59 +/- 0.10
 4.44 +/- 0.10
 4.27 +/- 0.10
 4.07 +/- 0.10
Rside (pi+pi+) (fm) 5.33 +/- 0.06
 5.10 +/- 0.05
 4.95 +/- 0.06
 4.70 +/- 0.06
 4.56 +/- 0.11
 4.41 +/- 0.11
 4.27 +/- 0.11
 4.02 +/- 0.10
Rlong (pi-pi-) (fm) 6.86 +/- 0.04
 6.31 +/- 0.04
 5.84 +/- 0.05
 5.45 +/- 0.05
 5.03 +/- 0.16
 4.73 +/- 0.15
 4.35 +/- 0.14
 4.05 +/- 0.13
Rlong (pi+pi+) (fm) 6.89 +/- 0.05
 6.35 +/- 0.04
 5.85 +/- 0.05
 5.35 +/- 0.05
 4.97 +/- 0.16
 4.71 +/- 0.15
 4.39 +/- 0.15
 4.04 +/- 0.13

PHENIX values:
http://www.phenix.bnl.gov/phenix/WWW/info/data/ppg021_data.html (Figure 2)


Figure 16: Energy dependence of the pi- HBT parameters for central Au+Au, Pb+Pb, and Pb+Au collisions at midrapidity and k_T ~ 0.2 GeV/c.

Energy
(experiment)
 lambda
 Rout
(fm)
 Rside
(fm)
 Rlong
(fm)
2.347 (E895)
 0.99 +/- 0.06
 6.22 +/- 0.26
 6.28 +/- 0.20
 5.15 +/- 0.19
3.04 (E895) 0.74 +/- 0.03
 5.79 +/- 0.16
 5.37 +/- 0.11
 5.15 +/- 0.14
3.608 (E895) 0.63 +/- 0.03
 5.76 +/- 0.23
 5.05 +/- 0.12
 4.72 +/- 0.18
4.095 (E895) 0.65 +/- 0.05
 5.48 +/- 0.31
 4.83 +/- 0.21
 4.64 +/- 0.24
4.73 (E866)
 -
 5.5 +/- 0.25
 4.80 +/- 0.50
 4.10 +/- 0.40
8.76 (CERES)
 - 4.515 +/- 0.096
 5.11 +/- 0.092
 4.667 +/- 0.104
12.3 (CERES)
 - 5.061 +/- 0.09
 4.868 +/- 0.082
 5.075 +/- 0.094
17.2 (CERES)
 - 5.6 +/- 0.049
 4.865 +/- 0.04
 5.849 +/- 0.054
8.79 (NA49) -
 5.91 +/- 0.62
 4.74 +/- 0.61
 5.61 +/- 0.64
17.27 (NA49) -
 6.15 +/- 0.58
 4.69 +/- 0.57
 5.66 +/- 0.60
17.27 (NA44) 0.524 +/- 0.026
 5.35 +/- 0.25
 5.07 +/- 0.35
 6.68 +/- 0.39
17.27 (WA97)
 0.304 +/- 0.012
 5.47 +/- 0.18
 3.95 +/- 0.13
 3.79 +/- 0.17
17.27 (WA98)
 0.354 +/- 0.04
 6.34 +/- 0.6
 5.67  +/- 0.47
 6.16 +/- 0.54
62.4 (PHOBOS)
 0.574 +/- 0.01
 5.79 +/- 0.66
 4.85 +/- 1.3
 6.17 +/- 1.16
130 (STAR)
 0.5 +/- 0.04
 5.86 +/- 0.49
 5.47 +/- 0.34
 7.07 +/- 0.55
200 (PHOBOS)
 0.541 +/- 0.08
 5.97 +/- 0.96
 4.79 +/- 1.97
 6.86 +/- 0.74
200 (PHENIX)
 0.307 +/- 0.018
 5.21 +/- 0.21
 4.92 +/- 0.21
 5.92 +/- 0.25
200 (STAR, standard)
 0.56 +/- 0.01
 6.41 +/- 0.24
 6.00 +/- 0.19
 6.75 +/- 0.21
200 (STAR, B-S)
 0.30 +/- 0.01
 6.14 +/- 0.15
 5.36 +/- 0.04
 6.76 +/- 0.05


Figure 17: HBT parameters vs. m_T for 6 different centralities. Error bars include statistical and systematis uncertainties.
m_T (GeV/c)
 0.244
 0.328
 0.418
 0.524
0-5%
lambda
 0.300 +/- 0.001
 0.418 +/- 0.002
 0.454 +/- 0.002
 0.473 +/- 0.003
Rout (fm)
 6.20 +/- 0.17
 5.53 +/- 0.17
 4.98 +/- 0.16
 4.40 +/- 0.15
Rside (fm)
 5.41 +/- 0.02
 4.97 +/- 0.03
 4.62 +/- 0.10
 4.23 +/- 0.09
Rlong (fm)
 6.72 +/- 0.03
 5.79 +/- 0.04
 5.04 +/- 0.15
 4.34 +/- 0.13
5-10%
lambda 0.319 +/- 0.004
 0.439 +/- 0.006
 0.453 +/- 0.008
 0.492 +/- 0.011
Rout (fm) 5.99 +/- 0.17
 5.35 +/- 0.19
 4.64 +/- 0.22
 4.06 +/- 0.19
Rside (fm) 5.13 +/- 0.05
 4.82 +/- 0.06
 4.39 +/- 0.12
 4.17 +/- 0.12
Rlong (fm) 6.59 +/- 0.06
 5.56 +/- 0.08
 4.71 +/- 0.18
 4.13 +/- 0.16
10-20%
lambda 0.327 +/- 0.003
 0.441 +/- 0.004
 0.473 +/- 0.006
 0.489 +/- 0.008
Rout (fm) 5.44 +/- 0.11
 4.92 +/- 0.15
 4.38 +/- 0.22
 3.79 +/- 0.20
Rside (fm) 4.71 +/- 0.04
 4.43 +/- 0.10
 4.13 +/- 0.09
 3.81 +/- 0.09
Rlong (fm) 6.08 +/- 0.04
 5.25 +/- 0.05
 4.49 +/- 0.12
 3.84 +/- 0.11
20-30%
lambda 0.362 +/- 0.004
 0.457 +/- 0.005
 0.510 +/- 0.005
 0.520 +/- 0.010
Rout (fm) 5.04 +/- 0.09
 4.44 +/- 0.10
 4.04 +/- 0.12
 3.57 +/- 0.12
Rside (fm) 4.42 +/- 0.09
 4.11 +/- 0.04
 3.86 +/- 0.07
 3.56 +/- 0.08
Rlong (fm) 5.72 +/- 0.07
 4.76 +/- 0.053
 4.16 +/- 0.10
 3.46 +/- 0.10
30-50%
lambda 0.370 +/- 0.004
 0.465 +/- 0.005
 0.504 +/- 0.006
 0.557 +/- 0.010
Rout (fm) 4.31 +/- 0.05
 3.93 +/- 0.08
 3.57 +/- 0.15
 3.16 +/- 0.15
Rside (fm) 3.78 +/- 0.03
 3.57 +/- 0.03
 3.38 +/- 0.05
 3.27 +/- 0.06
Rlong (fm) 4.96 +/- 0.04
 4.14 +/- 0.05
 3.57 +/- 0.07
 3.14 +/- 0.07
50-80%
lambda 0.401 +/- 0.006
 0.491 +/- 0.009
 0.528 +/- 0.013
 0.568 +/- 0.018
Rout (fm) 3.49 +/- 0.05
 3.25 +/- 0.09
 3.06 +/- 0.16
 2.77 +/- 0.16
Rside (fm) 3.02 +/- 0.04
 2.89 +/- 0.04
 2.66 +/- 0.07
 2.54 +/- 0.08
Rlong (fm) 4.09 +/- 0.05
 3.31 +/- 0.06
 2.89 +/- 0.09
 2.45 +/- 0.09




Figure 18: Fourier coefficients of azimuthal oscillations of HBT radii vs. numer of participating nucleons, for pi+ and pi- pairs separately (0.25 < kT < 0.35 GeV/c).

Means (0th-order FC), piP
<NPart> Rout2 Rside2 Rlong2
351 31.27 +- 0.74 23.80 +- 0.43 33.66 +- 0.76
295 28.91 +- 0.65 23.28 +- 0.40 30.18 +- 0.54
236 24.19 +- 0.44 19.18 +- 0.31 25.87 +- 0.45
167 20.54 +- 0.42 16.98 +- 0.31 22.60 +- 0.45
73 14.61 +- 0.26 11.59 +- 0.18 15.65 +- 0.27
Means (0th-order FC), piM
<NPart> Rout2 Rside2 Rlong2
351 31.03 +- 0.61 25.64 +- 0.46 32.91 +- 0.64
295 28.41 +- 0.64 23.92 +- 0.46 31.17 +- 0.65
236 23.40 +- 0.32 19.61 +- 0.30 26.80 +- 0.44
167 19.70 +- 0.40 16.39 +- 0.30 21.28 +- 0.43
73 14.92 +- 0.27 11.65 +- 0.18 15.57 +- 0.28

Relative amplitudes, piP

<NPart> Rout2 Rside2 Rlong2 Routside2
351 0.009 +- 0.021 0.000 +- 0.012 0.018 +- 0.017 0.027 +- 0.015
295 -0.064 +- 0.021 0.045 +- 0.013 -0.003 +- 0.015 0.052 +- 0.012
236 -0.032 +- 0.016 0.016 +- 0.012 0.006 +- 0.012 0.055 +- 0.011
167 -0.121 +- 0.018 0.060 +- 0.012 0.005 +- 0.014 0.089 +- 0.012
73 -0.093 +- 0.017 0.056 +- 0.011 0.021 +- 0.013 0.097 +- 0.011

Relative amplitudes, piM

<NPart> Rout2 Rside2 Rlong2 Routside2
351 -0.033 +- 0.019 0.026 +- 0.013 0.042 +- 0.015 0.026 +- 0.011
295 -0.017 +- 0.020 0.026 +- 0.013 -0.011 +- 0.014 0.050 +- 0.012
236 -0.059 +- 0.017 0.021 +- 0.011 0.036 +- 0.012 0.038 +- 0.010
167 -0.069 +- 0.018 0.064 +- 0.013 -0.009 +- 0.015 0.077 +- 0.012
73 -0.122 +- 0.017 0.079 +- 0.011 -0.001 +- 0.013 0.122 +- 0.010



Figure 19: Comparison between the HBT radii obtained from the azimuthally integrated (traditional) HBT analysis and the 0th-order Fourier coefficients from the azimuthally-sensitive HBT analysis. Error bars include only statistical uncertainties.

m_T (GeV/c)
 0.244
 0.328
 0.485
0-5 %
Rout (fm)
 6.20 +/- 0.01
 5.53 +/- 0.01
 4.79 +/- 0.01
Rout,0 (fm)
 6.19 +/- 0.03
 5.55 +/- 0.03
 4.79 +/- 0.03
Rside (fm)
 5.41 +/- 0.01
 4.97 +/- 0.01
 4.44 +/- 0.01
Rside,0 (fm)
 5.42 +/- 0.02
 4.89 +/- 0.02
 4.35 +/- 0.02
Rlong (fm)
 6.72 +/- 0.02
 5.79 +/- 0.02
 4.73 +/- 0.01
Rlong,0 (fm)
 6.71 +/- 0.03
 5.73 +/- 0.03
 4.64 +/- 0.02
5-10 %
Rout (fm) 5.99 +/- 0.05
 5.35 +/- 0.04
 4.43 +/- 0.04
Rout,0 (fm) 5.94 +/- 0.05
 5.37 +/- 0.04
 4.42 +/- 0.04
Rside (fm) 5.13 +/- 0.04
 4.83 +/- 0.04
 4.27 +/- 0.03
Rside,0 (fm) 5.12 +/- 0.04
 4.82 +/- 0.03
 4.20 +/- 0.03
Rlong (fm) 6.59 +/- 0.05
 5.56 +/- 0.05
 4.43 +/- 0.04
Rlong,0 (fm) 6.47 +/- 0.05
 5.52 +/- 0.04
 4.34 +/- 0.03
10-20 %
Rout (fm) 5.44 +/- 0.03
 4.92 +/- 0.03
 4.18 +/- 0.03
Rout,0 (fm) 5.44 +/- 0.03
 4.89 +/- 0.03
 4.15 +/- 0.03
Rside (fm) 4.71 +/- 0.03
 4.42 +/- 0.03
 3.99 +/- 0.03
Rside,0 (fm) 4.73 +/- 0.03
 4.41 +/- 0.03
 3.91 +/- 0.02
Rlong (fm) 6.08 +/- 0.04
 5.25 +/- 0.04
 4.20 +/- 0.03
Rlong,0 (fm) 6.06 +/- 0.03
 5.14 +/- 0.03
 4.14 +/- 0.02
20-30 %
Rout (fm) 5.04 +/- 0.04
 4.44 +/- 0.03
 3.87 +/- 0.03
Rout,0 (fm) 5.01 +/- 0.03
 4.50 +/- 0.03
 3.86 +/- 0.03
Rside (fm) 4.42 +/- 0.03
 4.11 +/- 0.03
 3.71 +/- 0.03
Rside,0 (fm) 4.40 +/- 0.03
 4.09 +/- 0.03
 3.64 +/- 0.02
Rlong (fm) 5.72 +/- 0.04
 4.76 +/- 0.04
 3.84 +/- 0.03
Rlong,0 (fm) 5.69 +/- 0.03
 4.69 +/- 0.03
 3.76 +/- 0.03
30-80 %
Rout (fm) 4.13 +/- 0.03
 3.79 +/- 0.03
 3.34 +/- 0.02
Rout,0 (fm) 4.20 +/- 0.02
 3.85 +/- 0.03
 3.40 +/- 0.02
Rside (fm) 3.61 +/- 0.02
 3.42 +/- 0.02
 3.18 +/- 0.02
Rside,0 (fm) 3.57 +/- 0.02
 3.42 +/- 0.02
 3.14 +/- 0.02
Rlong (fm) 4.77 +/- 0.03
 3.96 +/- 0.03
 3.25 +/- 0.03
Rlong,0 (fm) 4.77 +/- 0.03
 3.96 +/- 0.03
 3.23 +/- 0.02


Figure 20: HBT radius parametres for 6 different centralities. The lines indicate power-law fits to each parameter for each centrality.
m_T (GeV/c)
 0.244
 0.328
 0.418
 0.524
0-5%
Rout (fm)
 6.20 +/- 0.17
 5.53 +/- 0.17
 4.98 +/- 0.16
 4.40 +/- 0.15
Rside (fm)
 5.41 +/- 0.02
 4.97 +/- 0.03
 4.62 +/- 0.10
 4.23 +/- 0.09
Rlong (fm)
 6.72 +/- 0.03
 5.79 +/- 0.04
 5.04 +/- 0.15
 4.34 +/- 0.13
5-10%
Rout (fm) 5.99 +/- 0.17
 5.35 +/- 0.19
 4.64 +/- 0.22
 4.06 +/- 0.19
Rside (fm) 5.13 +/- 0.05
 4.82 +/- 0.06
 4.39 +/- 0.12
 4.17 +/- 0.12
Rlong (fm) 6.59 +/- 0.06
 5.56 +/- 0.08
 4.71 +/- 0.18
 4.13 +/- 0.16
10-20%
Rout (fm) 5.44 +/- 0.11
 4.92 +/- 0.15
 4.38 +/- 0.22
 3.79 +/- 0.20
Rside (fm) 4.71 +/- 0.04
 4.43 +/- 0.10
 4.13 +/- 0.09
 3.81 +/- 0.09
Rlong (fm) 6.08 +/- 0.04
 5.25 +/- 0.05
 4.49 +/- 0.12
 3.84 +/- 0.11
20-30%
Rout (fm) 5.04 +/- 0.09
 4.44 +/- 0.10
 4.04 +/- 0.12
 3.57 +/- 0.12
Rside (fm) 4.42 +/- 0.09
 4.11 +/- 0.04
 3.86 +/- 0.07
 3.56 +/- 0.08
Rlong (fm) 5.72 +/- 0.07
 4.76 +/- 0.053
 4.16 +/- 0.10
 3.46 +/- 0.10
30-50%
Rout (fm) 4.31 +/- 0.05
 3.93 +/- 0.08
 3.57 +/- 0.15
 3.16 +/- 0.15
Rside (fm) 3.78 +/- 0.03
 3.57 +/- 0.03
 3.38 +/- 0.05
 3.27 +/- 0.06
Rlong (fm) 4.96 +/- 0.04
 4.14 +/- 0.05
 3.57 +/- 0.07
 3.14 +/- 0.07
50-80%
Rout (fm) 3.49 +/- 0.05
 3.25 +/- 0.09
 3.06 +/- 0.16
 2.77 +/- 0.16
Rside (fm) 3.02 +/- 0.04
 2.89 +/- 0.04
 2.66 +/- 0.07
 2.54 +/- 0.08
Rlong (fm) 4.09 +/- 0.05
 3.31 +/- 0.06
 2.89 +/- 0.09
 2.45 +/- 0.09


Figure 21: Extracted parameters R' in the top panel, alpha in the bottom one, from the power-law fits to the HBT radius parameters (lines in Fig. 20)

Nparticipants
 350.71
 298.65
 234.79
 168.24
 96.45
 30.16
R' (Rout) (fm)
 7.99 +/- 0.40
 7.99 +/- 0.46
 7.00 +/- 0.33
 6.46 +/- 0.23
 5.32 +/- 0.17
 4.08 +/- 0.17
R' (Rside) (fm) 6.41 +/- 0.08
 5.96 +/- 0.14
 5.47 +/- 0.11
 5.20 +/- 0.17
 4.23 +/- 0.08
 3.44 +/- 0.10
R' (Rlong) (fm) 9.03 +/- 0.13
 9.24 +/- 0.25
 8.33 +/- 0.17
 8.17 +/- 0.22
 6.96 +/- 0.14
 5.93 +/- 0.19
alpha (Rout)
 0.44 +/- 0.05
 0.50 +/- 0.06
 0.44 +/- 0.06
 0.44 +/- 0.04
 0.37 +/- 0.05
 0.27 +/- 0.06
alpha (Rside) 0.30 +/- 0.01
 0.26 +/- 0.03
 0.26 +/- 0.03
 0.28 +/- 0.03
 0.20 +/- 0.02
 0.22 +/- 0.04
alpha (Rlong) 0.53 +/- 0.02
 0.60 +/- 0.04
 0.55 +/- 0.03
 0.63 +/- 0.03
 0.60 +/- 0.03
 0.67 +/- 0.04


Figure 22: Extracted freeze-out source radius extracted from a blast wave fit; source radius Rgeom from fits to Rside; ans 2*Rside for the lowest k_T bin as a function of the number of participants.

Nparticipants 350.71 298.65 234.79 168.24 96.45 30.16
Rgeom (fm)
 13.09 +/- 0.04
12.19 +/- 0.08
 9.93 +/- 0.07 9.34 +/- 0.07
 7.20 +/- 0.04
 5.12 +/- 0.05
R from blast wave
 13.29 +/- 0.19
 12.61 +/- 0.17
 11.54 +/- 0.15
 10.49 +/- 0.08
 8.75 +/- 0.10
 6.54+/- 0.06
2*Rside
 10.82 +/- 0.04
 10.26 +/- 0.10
 9.42 +/- 0.08
 8.84 +/- 0.18
 7.56 +/- 0.12
 6.04 +/- 0.08


Figure 23: HBT parameter Rside.

m_T (GeV/c)
 0.244
 0.328
 0.418
 0.524
0-5%
Rside (fm)
 5.41 +/- 0.02
 4.97 +/- 0.03
 4.62 +/- 0.10
 4.23 +/- 0.09
5-10%
Rside (fm) 5.13 +/- 0.05
 4.82 +/- 0.06
 4.39 +/- 0.12
 4.17 +/- 0.12
10-20%
Rside (fm) 4.71 +/- 0.04
 4.43 +/- 0.10
 4.13 +/- 0.09
 3.81 +/- 0.09
20-30%
Rside (fm) 4.42 +/- 0.09
 4.11 +/- 0.04
 3.86 +/- 0.07
 3.56 +/- 0.08
30-50%
Rside (fm) 3.78 +/- 0.03
 3.57 +/- 0.03
 3.38 +/- 0.05
 3.27 +/- 0.06
50-80%
Rside (fm) 3.02 +/- 0.04
 2.89 +/- 0.04
 2.66 +/- 0.07
 2.54 +/- 0.08


Figure 24: R - Rinitial (top panel) and R/Rinitial (bottom panel) for the azimuthally integrated analysis and in the x (in-plane) and y (out-of-plane) directions for the azimuthally-sensitive case vs. number of participants.

Nparticipants
 350.71
 298.65
 234.79
 168.24
 96.45
 30.16
R-Rinitial (fm) 7.51 +/- 0.19
 7.11 +/- 0.17
 6.41 +/- 0.15
 5.83 +/- 0.09
 4.57 +/- 0.11
 3.06 +/- 0.06
R/Rinitial
 2.30 +/- 0.07
 2.29 +/- 0.06
 2.25 +/- 0.06
 2.25 +/- 0.04
 2.09 +/- 0.05
 1.88 +/- 0.04

Nparticipants 350.71 298.65 234.79 168.24 56.68
Rx-Rx,initial (fm) 7.23 +/- 0.12
 6.84 +/- 0.11
 6.16 +/- 0.08
 5.56 +/- 0.10
 3.96 +/- 0.01
Rx/Rx,initial 2.27 +/- 0.04
 2.30 +/- 0.04
 2.30 +/- 0.04
 2.34 +/- 0.05
 2.14 +/- 0.01
Ry-Ry,initial (fm) 7.53 +/- 0.13
 7.15 +/- 0.12
 6.45 +/- 0.12
 5.90 +/- 0.09
 3.09 +/- 0.11
Ry/Ry,initial 2.28 +/- 0.04
 2.25 +/- 0.04
 2.17 +/- 0.04
 2.15 +/- 0.04
 1.55 +/- 0.04


Figure 25: R - Rinitial for the azimuthally integrated analysis and in the x (in-plane) and y (out-of-plane) directions for the azimuthally-sensitive case vs. (dN/dy)/Rinitial.

dN/dy/Rinitial
 56.55 +/- 0.09
 47.36 +/- 0.07
 38.20 +/- 0.05
 29.23 +/- 0.05
 17.95 +/- 0.03
 6.61 +/- 0.01
R-Rinitial (fm)
 7.51 +/- 0.19
 7.11 +/- 0.17
 6.41 +/- 0.15
 5.83 +/- 0.09
 4.57 +/- 0.11
 3.06 +/- 0.06

dN/dy/Rx,initial 57.35 +/- 0.09
 49.37 +/- 0.07
 41.38 +/- 0.05
 32.87 +/- 0.05
 16.38 +/- 0.03
Rx-Rx,initial (fm) 7.23 +/- 0.12
 6.84 +/- 0.11
 6.16 +/- 0.08
 5.56 +/- 0.10
 3.96 +/- 0.01


dN/dy/Ry,initial 55.79 +/- 0.09
 45.58 +/- 0.07
 35.66 +/- 0.05
 26.58 +/- 0.05
 10.14 +/- 0.03
Ry-Ry,initial (fm) 7.53 +/- 0.13
 7.15 +/- 0.12
 6.45 +/- 0.12
 5.90 +/- 0.09
 3.09 +/- 0.11


Figure 26: Longitudinal HBT radius Rl.
m_T (GeV/c)
 0.244
 0.328
 0.418
 0.524
0-5%
Rlong (fm)
 6.72 +/- 0.03
 5.79 +/- 0.04
 5.04 +/- 0.15
 4.34 +/- 0.13
5-10%
Rlong (fm) 6.59 +/- 0.06
 5.56 +/- 0.08
 4.71 +/- 0.18
 4.13 +/- 0.16
10-20%
Rlong (fm) 6.08 +/- 0.04
 5.25 +/- 0.05
 4.49 +/- 0.12
 3.84 +/- 0.11
20-30%
Rlong (fm) 5.72 +/- 0.07
 4.76 +/- 0.053
 4.16 +/- 0.10
 3.46 +/- 0.10
30-50%
Rlong (fm) 4.96 +/- 0.04
 4.14 +/- 0.05
 3.57 +/- 0.07
 3.14 +/- 0.07
50-80%
Rlong (fm) 4.09 +/- 0.05
 3.31 +/- 0.06
 2.89 +/- 0.09
 2.45 +/- 0.09


Figure 27: Evolution time tau vs. number of participants as extracted from a fit to Rl, lines in Fig. 26 (triangles), and from a blast wave fit to HBT parameters and spectra (circles).

Number of participants
 tau from fits to Rl
 tau from BW fit
350.712
 8.93 +/- 0.03
 9.01 +/- 0.26
298.651
 8.61+/- 0.06
 8.68 +/- 0.22
234.792
 7.58 +/- 0.04
 8.07 +/- 0.20
168.244
 6.93+/- 0.05
 7.22 +/- 0.11
96.4492
 5.74 +/- 0.03
 5.86 +/- 0.15
30.1568
 4.36 +/- 0.04
 4.00 +/- 0.15


Figure 28: R - Rinital for the azimuthally integrated analysis and for the in-plane and out-of-plane directions vs. beta_T,max*tau.


beta_T,max*tau
 6.99 +/- 0.49
 6.62 +/- 0.28
 6.09 +/- 0.33
 5.32 +/- 0.22
 4.09 +/- 0.27
 2.51 +/- 0.17
R-Rinitial (fm)
 7.51 +/- 0.19
 7.11 +/- 0.17
 6.41 +/- 0.15
 5.83 +/- 0.09
 4.57 +/- 0.11
 3.06 +/- 0.06

beta_X,T,max*tau 7.06 +/- 0.48
 6.52 +/- 0.25
 6.17 +/- 0.31
 5.47 +/- 0.24
 3.82 +/- 0.38
Rx-Rx,initial (fm) 7.23 +/- 0.12
 6.84 +/- 0.11
 6.16 +/- 0.08
 5.56 +/- 0.10
 3.96 +/- 0.01


beta_Y,T,max*tau 6.65 +/- 0.46
 5.98 +/- 0.24
 5.49 +/- 0.30
 4.66 +/- 0.22
 2.95 +/- 0.35
Ry-Ry,initial (fm) 7.53 +/- 0.13
 7.15 +/- 0.12
 6.45 +/- 0.12
 5.90 +/- 0.09
 3.09 +/- 0.11



Figure 29: Emission duration time dTau vs. number of participants as extracted using a blast wave fit to HBT parameters and spectra.


Number of participants
 tau from BW fit
350.712
 2.83 +/- 0.19
298.651
 2.45 +/- 0.17
234.792
 2.35 +/- 0.16
168.244
 2.10 +/- 0.09
96.4492
 1.74 +/- 0.12
30.1568
 1.73 +/- 0.10


Figure 30: Final source eccentricity as calculated from the Fourier coefficients (2R_{s,2}^2/R_{s,0}^2) and from the final in-plane and out-of-plane radii vs. initial eccentricity.

Initial eccentricity
 Final eccentricity
from Fourier coefficients
 Final eccentricity
from Rx and Ry
0.028 +/- 0.002
 0.005 +/- 0.008
 0.035 +/- 0.034
0.090 +/- 0.004
 0.029 +/- 0.018
 0.060 +/- 0.034
0.160 +/- 0.008
 0.077 +/- 0.021
 0.091 +/- 0.033
0.239 +/- 0.011
 0.111 +/- 0.027
 0.128 +/- 0.034
0.317 +/- 0.010
 0.129 +/- 0.026
 0.157 +/- 0.027

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