Azimuthal Anisotropy at RHIC: the First and Fourth Harmonics
J. Adams et al., Phys. Rev. Lett. 92 , 062301 (2004).

Updates on Mar. 15th 2021 by Rongrong Ma

Figure 1: v1 for charged particles

The v1(η) for charged particles for 10% to 70% centrality. Results from three-particle cumulant analysis, v1{3}. Errors listed are statistical only. Additional non-flow systematic uncertainties are approximately 20%. Numbers in brackets on η denote bin edges.

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η v1 [%]
-3.91
[-0.14,+0.09]		2.2 +/- 1.1
-3.70
[-0.12,+0.10]		1.34 +/- 0.71
-3.48
[-0.12,+0.11]		0.99 +/- 0.59
-3.25
[-0.12,+0.11]		0.37 +/- 0.53
-3.03
[-0.11,+0.11]		0.10 +/- 0.50
-2.82
[-0.10,+0.13]		0.50 +/- 0.56
-2.64
[-0.05,+0.17]		-0.79 +/- 1.55
-1.00
[-0.12,+0.10]		0.39 +/- 0.42
-0.7875
[-0.1125,+0.1125]		-0.13 +/- 0.38
-0.5625
[-0.1125,+0.1125]		0.39 +/- 0.38
-0.3375
[-0.1125,+0.1125]		0.34 +/- 0.39
-0.1125
[-0.1125,+0.1125]		-0.23 +/- 0.39
0.1125
[-0.1125,+0.1125]		-0.09 +/- 0.39
0.3375
[-0.1125,+0.1125]		-0.18 +/- 0.38
0.5625
[-0.1125,+0.1125]		0.15 +/- 0.38
0.7875
[-0.1125,+0.1125]		-0.43 +/- 0.38
1.00
[-0.10,+0.12]		0.05 +/- 0.44
2.64
[-0.17,+0.05]		1.06 +/- 1.48
2.82
[-0.12,+0.10]		0.67 +/- 0.56
3.03
[-0.11,+0.11]		0.13 +/- 0.50
3.25
[-0.11,+0.12]		-1.00 +/- 0.54
3.48
[-0.11,+0.12]		-0.48 +/- 0.60
3.70
[-0.10,+0.12]		-1.30 +/- 0.73
3.91
[-0.08,+0.14]		-2.35 +/- 1.21

Figure 2: v2,4,6(pT) for charged particles

The v2,4,6(pT) for charged particles for 0% to 80% centrality, |η| < 1.2. Errors listed are statistical only. Background from secondary particles is expected to be less than 15%. Non-flow systematic uncertainties are approximately 20%. Fluctuations in initial geometry can lead to an effect of about a factor of 1.2 to 1.5. Numbers in brackets on pT denote bin edges.

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v2{EP2}
pT [GeV/c] v2 [%]
0.225
[-0.075,+0.075]		 1.895 +/- 0.0087
0.375
[-0.075,+0.075]		 3.21 +/- 0.0083
0.525
[-0.075,+0.075]		 4.66 +/- 0.0094
0.675
[-0.075,+0.075]		 5.98 +/- 0.011
0.825
[-0.075,+0.075]		 7.20 +/- 0.013
0.975
[-0.075,+0.075]		 8.34 +/- 0.016
1.125
[-0.075,+0.075]		 9.32 +/- 0.019
1.275
[-0.075,+0.075]		 10.30 +/- 0.023
1.425
[-0.075,+0.075]		 11.22 +/- 0.028
1.575
[-0.075,+0.075]		 12.02 +/- 0.033
1.725
[-0.075,+0.075]		 12.82 +/- 0.040
1.875
[-0.075,+0.075]		 13.60 +/- 0.048
2.025
[-0.075,+0.075]		 14.09 +/- 0.058
2.175
[-0.075,+0.075]		 14.68 +/- 0.070
2.325
[-0.075,+0.075]		 15.14 +/- 0.085
2.475
[-0.075,+0.075]		 15.52 +/- 0.10
2.625
[-0.075,+0.075]		 15.90 +/- 0.12
2.775
[-0.075,+0.075]		 16.26 +/- 0.15
2.987
[-0.137,+0.163]		 16.41 +/- 0.13
3.288
[-0.138,+0.162]		 16.46 +/- 0.19
3.589
[-0.139,+0.161]		 16.52 +/- 0.26
3.889
[-0.139,+0.161]		 16.67 +/- 0.35
4.190
[-0.140,+0.160]		 15.79 +/- 0.47
4.490
[-0.140,+0.160]		 16.34 +/- 0.61
4.790
[-0.140,+0.160]		 15.80 +/- 0.77
5.091
[-0.141,+0.159]		 14.07 +/- 0.97
5.563
[-0.313,+0.587]		 16.78 +/- 0.87
v4{EP2}
pT [GeV/c] v4{EP2} [%]
0.225
[-0.075,+0.075]		 0.0565 +/- 0.0195
0.375
[-0.075,+0.075]		 0.159 +/- 0.019
0.525
[-0.075,+0.075]		 0.280 +/- 0.021
0.675
[-0.075,+0.075]		 0.457 +/- 0.025
0.825
[-0.075,+0.075]		 0.581 +/- 0.029
0.975
[-0.075,+0.075]		 0.843 +/- 0.035
1.125
[-0.075,+0.075]		 0.984 +/- 0.042
1.275
[-0.075,+0.075]		 1.19 +/- 0.050
1.425
[-0.075,+0.075]		 1.51 +/- 0.060
1.575
[-0.075,+0.075]		 1.57 +/- 0.072
1.725
[-0.075,+0.075]		 1.81 +/- 0.087
1.875
[-0.075,+0.075]		 2.14 +/- 0.105
2.025
[-0.075,+0.075]		 2.4 +/- 0.13
2.175
[-0.075,+0.075]		 2.3 +/- 0.15
2.325
[-0.075,+0.075]		 2.73 +/- 0.18
2.475
[-0.075,+0.075]		 2.58 +/- 0.22
2.625
[-0.075,+0.075]		 3.18 +/- 0.27
2.775
[-0.075,+0.075]		 2.90 +/- 0.32
2.987
[-0.137,+0.163]		 3.11 +/- 0.29
3.288
[-0.138,+0.162]		 3.13 +/- 0.41
3.589
[-0.139,+0.161]		 3.58 +/- 0.57
3.889
[-0.139,+0.161]		 3.52 +/- 0.77
4.390
[-0.34,+0.56]		 3.17 +/- 0.73
5.306
[-0.356,+0.544]		 3.5 +/- 1.5
v4{3}
pT [GeV/c] v4{3} [%]
0.176
[-0.176,+0.024] 		0.092 +/- 0.020
0.304
[-0.104,+0.096] 		0.135 +/- 0.012
0.498
[-0.098,+0.102] 		0.325 +/- 0.013
0.700
[-0.100,+0.100] 		0.577 +/- 0.017
0.898
[-0.098,+0.102] 		0.834 +/- 0.021
1.084
[-0.084,+0.116] 		1.117 +/- 0.026
1.286
[-0.086,+0.114] 		1.436 +/- 0.035
1.484
[-0.084,+0.116] 		1.761 +/- 0.042
1.686
[-0.086,+0.114] 		2.162 +/- 0.057
1.884
[-0.084,+0.116] 		2.546 +/- 0.069
2.17
[-0.17,+0.23] 		2.903 +/- 0.074
2.57
[-0.17,+0.23] 		3.09 +/- 0.12
2.97
[-0.17,+0.23] 		3.61 +/- 0.20
3.37
[-0.17,+0.23] 		4.25 +/- 0.32
3.93
[-0.33,+0.58]		 3.44 +/- 0.40
5.00
[-0.49,+1.01] 		3.39 +/- 0.92
6.68
[-0.68,+1.32] 		7.7 +/- 2.3
v6{EP2}
pT [GeV/c] v6{EP2} [%]
0.225
[-0.075,+0.075]		 -0.011 +/- 0.084
0.375
[-0.075,+0.075]		 0.015 +/- 0.079
0.525
[-0.075,+0.075]		 0.022 +/- 0.090
0.675
[-0.075,+0.075]		 0.02 +/- 0.11
0.825
[-0.075,+0.075]		 0.08 +/- 0.13
0.975
[-0.075,+0.075]		 0.08 +/- 0.15
1.186
[-0.136,+0.164]		 0.10 +/- 0.14
1.486
[-0.136,+0.164]		 0.32 +/- 0.20
1.786
[-0.136,+0.164]		 0.29 +/- 0.29
2.086
[-0.136,+0.164]		 0.09 +/- 0.41
2.553
[-0.303,+0.597]		 0.20 +/- 0.46

Figure 3: v2,4,6 as a function of centrality for charged particles

The v2,4,6(centrality) for charged particles integrated over pT and |η| < 1.2. Errors listed are statistical only. Background from secondary particles is expected to be less than 15%. Non-flow systematic uncertainties are approximately 20%. Fluctuations in initial geometry can lead to an effect of about a factor of 1.2 to 1.5.

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% most central v2{EP2} [%] v4{EP2} [%] v4{3} [%] v6{EP2} [%]
70-80 7.12 +/- 0.08 1.08 +/- 0.27 1.21 +/- 0.20
60-70 7.30 +/- 0.041 0.893 +/- 0.091 0.854 +/- 0.081 0.12 +/- 0.35
50-60 7.55 +/- 0.024 0.681 +/- 0.041 0.720 +/- 0.041 0.05 +/- 0.15
40-50 7.49 +/- 0.016 0.757 +/- 0.024 0.863 +/- 0.025 0.080 +/- 0.07
30-40 7.15 +/- 0.012 0.66 +/- 0.016 0.730 +/- 0.017 0.077 +/- 0.049
20-30 6.30 +/- 0.009 0.53 +/- 0.012 0.618 +/- 0.013 0.038 +/- 0.034
10-20 4.88 +/- 0.009 0.348 +/- 0.012 0.386 +/- 0.012 0.054 +/- 0.037
5-10 3.45 +/- 0.012 0.233 +/- 0.019 0.242 +/- 0.018 0.078 +/- 0.064
0-5 2.35 +/- 0.015 0.169 +/- 0.029 0.128 +/- 0.008 -0.04 +/- 0.15

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