Azimuthally Sensitive Hanbury Brown-Twiss Interferometry in Au+Au Collisions at sqrt(sNN) = 200 GeV
J. Adams et al., Phys. Rev. Lett. 93 , 012301 (2004).

Figure 1: Squared HBT radii relative to reaction plane angle, 3 centralities

Squared HBT radii using Eq. (1) relative to the reaction plane angle for three centrality classes. The solid lines show allowed [24] fits to the individual oscillations.

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0-5%
Angle (o) Rout2 Rside2 Rlong2 Routside2
0 32.24 +- 0.63 23.18 +- 0.38 33.41 +- 0.61 -0.08 +- 0.39
15 32.19 +- 0.61 23.48 +- 0.38 33.64 +- 0.59 1.48 +- 0.41
30 31.10 +- 0.59 24.63 +- 0.39 31.75 +- 0.56 0.72 +- 0.40
45 33.40 +- 0.64 23.91 +- 0.39 31.54 +- 0.57 1.35 +- 0.43
60 33.73 +- 0.67 23.94 +- 0.41 32.43 +- 0.60 1.50 +- 0.44
75 34.14 +- 0.69 23.36 +- 0.41 33.40 +- 0.63 1.02 +- 0.45
90 34.01 +- 0.69 23.76 +- 0.42 32.41 +- 0.62 0.00 +- 0.44
105 34.65 +- 0.70 23.46 +- 0.41 33.31 +- 0.63 -0.77 +- 0.44
120 33.03 +- 0.66 24.00 +- 0.41 32.81 +- 0.61 -0.78 +- 0.43
135 32.64 +- 0.67 24.02 +- 0.42 32.89 +- 0.63 -2.14 +- 0.42
150 33.39 +- 0.62 23.90 +- 0.39 33.57 +- 0.59 -2.12 +- 0.40
165 31.53 +- 0.59 23.39 +- 0.37 33.78 +- 0.58 -0.84 +- 0.38
10-20%
Angle (o) Rout2 Rside2 Rlong2 Routside2
0 23.06 +- 0.59 20.14 +- 0.45 27.11 +- 0.66 1.30 +- 0.43
15 23.40 +- 0.61 19.79 +- 0.44 26.02 +- 0.64 0.91 +- 0.42
30 25.12 +- 0.66 19.65 +- 0.45 25.94 +- 0.66 1.41 +- 0.45
45 24.67 +- 0.67 19.40 +- 0.46 26.66 +- 0.69 1.70 +- 0.46
60 26.66 +- 0.73 18.03 +- 0.43 25.97 +- 0.69 2.00 +- 0.47
75 26.93 +- 0.76 17.59 +- 0.43 26.17 +- 0.70 1.30 +- 0.47
90 26.80 +- 0.77 17.46 +- 0.43 26.80 +- 0.73 0.37 +- 0.46
105 26.12 +- 0.74 16.90 +- 0.41 27.25 +- 0.74 -0.63 +- 0.45
120 26.28 +- 0.70 17.65 +- 0.42 26.57 +- 0.70 -1.77 +- 0.43
135 25.06 +- 0.65 19.01 +- 0.43 25.98 +- 0.66 -1.59 +- 0.44
150 23.49 +- 0.60 18.70 +- 0.42 27.86 +- 0.70 -1.68 +- 0.40
165 23.69 +- 0.59 19.59 +- 0.43 25.96 +- 0.63 -1.81 +- 0.41
40-80%
Angle (o) Rout2 Rside2 Rlong2 Routside2
0 10.97 +- 0.34 10.57 +- 0.28 14.05 +- 0.45 -0.05 +- 0.23
15 10.98 +- 0.33 11.16 +- 0.29 13.50 +- 0.43 0.74 +- 0.24
30 12.25 +- 0.41 10.83 +- 0.32 13.91 +- 0.48 2.03 +- 0.29
45 13.36 +- 0.46 10.57 +- 0.34 13.90 +- 0.49 2.27 +- 0.32
60 14.49 +- 0.47 9.75 +- 0.27 14.89 +- 0.58 2.51 +- 0.34
75 15.18 +- 0.59 9.08 +- 0.33 13.40 +- 0.53 1.63 +- 0.35
90 17.28 +- 0.71 8.95 +- 0.34 15.59 +- 0.66 0.44 +- 0.39
105 15.84 +- 0.62 8.13 +- 0.28 15.62 +- 0.61 -0.82 +- 0.32
120 14.99 +- 0.54 9.17 +- 0.30 15.57 +- 0.58 -2.22 +- 0.31
135 13.07 +- 0.42 9.26 +- 0.26 14.89 +- 0.52 -1.63 +- 0.23
150 11.72 +- 0.37 10.74 +- 0.30 14.01 +- 0.45 -1.55 +- 0.26
165 11.29 +- 0.35 10.63 +- 0.29 14.36 +- 0.45 -0.98 +- 0.24

Figure 2: Squared HBT radii relative to reaction plane angle, 4 kT bins

Squared HBT radii relative to the reaction plane angle for four kT (GeV/c) bins, 20-30% centrality events. The solid lines show allowed [24] fits to the individual oscillations.

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0.15 < kT < 0.25
Angle (o) Rout2 Rside2 Rlong2 Routside2
0 22.51 +- 0.56 20.85 +- 0.47 31.49 +- 0.76 0.11 +- 0.41
45 24.05 +- 0.63 19.52 +- 0.47 32.83 +- 0.85 1.67 +- 0.45
90 27.10 +- 0.76 17.69 +- 0.43 32.25 +- 0.88 -0.35 +- 0.47
135 25.98 +- 0.67 19.05 +- 0.44 32.30 +- 0.82 -1.67 +- 0.44
0.25 < kT < 0.35
Angle  (o) Rout2 Rside2 Rlong2 Routside2
0 17.33 +- 0.47 18.48 +- 0.44 21.56 +- 0.56 -0.26 +- 0.35
45 19.06 +- 0.55 16.51 +- 0.43 21.08 +- 0.59 2.79 +- 0.39
90 23.85 +- 0.71 14.23 +- 0.40 21.74 +- 0.68 -0.43 +- 0.44
135 20.13 +- 0.59 17.24 +- 0.45 23.07 +- 0.66 -2.85 +- 0.39
0.35 < kT < 0.45
Angle  (o) Rout2 Rside2 Rlong2 Routside2
0 14.21 +- 0.49 15.72 +- 0.45 16.28 +- 0.51 0.38 +- 0.36
45 14.92 +- 0.57 13.70 +- 0.43 16.35 +- 0.56 1.95 +- 0.38
90 18.23 +- 0.77 11.98 +- 0.43 15.21 +- 0.60 -0.26 +- 0.43
135 15.73 +- 0.61 14.49 +- 0.48 16.37 +- 0.61 -2.23 +- 0.41
0.45 < kT < 0.60
Angle  (o) Rout2 Rside2 Rlong2 Routside2
0 11.00 +- 0.44 13.88 +- 0.45 11.85 +- 0.42 -0.12 +- 0.33
45 12.99 +- 0.64 12.34 +- 0.49 12.66 +- 0.53 3.01 +- 0.43
90 15.89 +- 0.86 10.38 +- 0.47 10.30 +- 0.51 0.40 +- 0.46
135 12.72 +- 0.60 12.46 +- 0.47 11.77 +- 0.50 -1.93 +- 0.38

Figure 3: Fourier coefficients of azimuthal oscillations of HBT radii

Fourier coefficients of azimuthal oscillations of HBT radii vs number of participating nucleons, for three kT (GeV/c) bins. Left panels: means (0th-order FC) of oscillations; right panels: relative amplitudes (see text for details). Larger participant numbers correspond to more central collisions.

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Means (0th-order FC), 0.15<kT<0.25
<NPart> Rout2 Rside2 Rlong2
351 38.20 +- 0.35 29.28 +- 0.24 44.94 +- 0.36
295 35.23 +- 0.54 26.14 +- 0.35 41.72 +- 0.59
236 29.47 +- 0.34 22.34 +- 0.24 36.60 +- 0.35
167 24.99 +- 0.33 19.33 +- 0.23 32.31 +- 0.41
73 17.55 +- 0.20 12.68 +- 0.13 22.71 +- 0.25
Means (0th-order FC), 0.25<kT<0.35
<NPart> Rout2 Rside2 Rlong2
351 30.72 +- 0.31 23.87 +- 0.20 32.77 +- 0.30
295 28.71 +- 0.47 23.19 +- 0.31 30.33 +- 0.47
236 23.82 +- 0.31 19.43 +- 0.22 26.38 +- 0.32
167 20.17 +- 0.29 16.69 +- 0.21 21.96 +- 0.31
73 14.82 +- 0.19 11.64 +- 0.13 15.62 +- 0.19
Means (0th-order FC), 0.35<kT<0.60
<NPart> Rout2 Rside2 Rlong2
351 22.90 +- 0.24 18.90 +- 0.15 21.45 +- 0.19
295 19.46 +- 0.33 17.61 +- 0.24 18.82 +- 0.28
236 17.17 +- 0.24 15.22 +- 0.17 17.12 +- 0.20
167 14.85 +- 0.22 13.22 +- 0.16 14.10 +- 0.19
73 11.56 +- 0.16 9.84 +- 0.12 10.43 +- 0.13

Relative amplitudes, 0.15<kT<0.25

<NPart> Rout2 Rside2 Rlong2 Routside2
351 -0.006 +- 0.009 -0.017 +- 0.006 0.016 +- 0.006 0.018 +- 0.006
295 -0.085 +- 0.015 0.006 +- 0.010 0.004 +- 0.010 0.034 +- 0.010
236 -0.028 +- 0.011 0.055 +- 0.008 0.006 +- 0.007 0.041 +- 0.008
167 -0.058 +- 0.012 0.040 +- 0.008 -0.006 +- 0.009 0.042 +- 0.008
73 -0.117 +- 0.012 0.063 +- 0.007 -0.007 +- 0.008 0.089 +- 0.007

Relative amplitudes, 0.25<kT<0.35

<NPart> Rout2 Rside2 Rlong2 Routside2
351 -0.032 +- 0.009 0.013 +- 0.006 0.008 +- 0.007 0.035 +- 0.006
295 -0.055 +- 0.015 0.030 +- 0.010 -0.007 +- 0.011 0.042 +- 0.009
236 -0.044 +- 0.011 0.019 +- 0.008 0.022 +- 0.009 0.047 +- 0.007
167 -0.095 +- 0.013 0.063 +- 0.009 -0.001 +- 0.010 0.083 +- 0.008
73 -0.109 +- 0.013 0.069 +- 0.008 0.009 +- 0.009 0.110 +- 0.007
Relative amplitudes, 0.35<kT<0.60
<NPart> Rout2 Rside2 Rlong2 Routside2
351 -0.046 +- 0.009 0.011 +- 0.006 0.011 +- 0.006 0.047 +- 0.005
295 -0.062 +- 0.014 0.007 +- 0.010 0.041 +- 0.010 0.043 +- 0.009
236 -0.046 +- 0.011 0.043 +- 0.008 -0.005 +- 0.009 0.067 +- 0.007
167 -0.080 +- 0.013 0.064 +- 0.009 0.019 +- 0.009 0.083 +- 0.008
73 -0.117 +- 0.013 0.062 +- 0.008 -0.001 +- 0.009 0.125 +- 0.007

Figure 4: Final vs. initial source eccentricity

Source eccentricity obtained with azimuthally sensitive HBT (epsilonfinal) vs initial eccentricity from a Glauber model (epsiloninitial). The most peripheral collisions correspond to the largest eccentricity. The dashed line indicates epsfinal = epsinitial . Uncertainties on the precise nature of space-momentum correlations lead to 30% systematic errors on epsfinal [30].

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epsfinal epsinitial
0.005 +- 0.007 0.028 + 0.002 - 0.001
0.029 +- 0.011 0.090 + 0.004 - 0.004
0.077 +- 0.009 0.160 + 0.008 - 0.006
0.111 +- 0.010 0.239 + 0.011 - 0.009
0.129 +- 0.009 0.317 + 0.010 - 0.009

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