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Harmonic decomposition of three-particle azimuthal correlations at energies available at the BNL Relativistic Heavy Ion Collider

The collaboration
Phys.Rev.C 98 (2018) 034918, 2018.

Abstract
We present measurements of three-particle correlations for various harmonics in Au+Au collisions at energies ranging from $\sqrt{s_{{\rm NN}}}=7.7$ to 200 GeV using the STAR detector. The quantity $\langle\cos(m\phi_1+n\phi_2-(m+n)\phi_3)\rangle$ is evaluated as a function of $\sqrt{s_{{\rm NN}}}$, collision centrality, transverse momentum, $p_T$, pseudo-rapidity difference, $\Delta\eta$, and harmonics ($m$ and $n$). These data provide detailed information on global event properties like the three-dimensional structure of the initial overlap region, the expansion dynamics of the matter produced in the collisions, and the transport properties of the medium. A strong dependence on $\Delta\eta$ is observed for most harmonic combinations consistent with breaking of longitudinal boost invariance. Data reveal changes with energy in the two-particle correlation functions relative to the second-harmonic event-plane and provide ways to constrain models of heavy-ion collisions over a wide range of collision energies.

• #### Figure 5 (200 GeV)

Data from Figure 5

10.17182/hepdata.96955.v1/t1

The centrality dependence of the C$_{m,n,m+n}$ correlations versus N$_{part}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$ from 200 GeV...

• #### Figure 5 (62.4 GeV)

Data from Figure 5

10.17182/hepdata.96955.v1/t2

The centrality dependence of the C$_{m,n,m+n}$ correlations versus N$_{part}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$ from 62.4 GeV...

• #### Figure 5 (39 GeV)

Data from Figure 5

10.17182/hepdata.96955.v1/t3

The centrality dependence of the C$_{m,n,m+n}$ correlations versus N$_{part}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$ from 39 GeV...

• #### Figure 5 (27 GeV)

Data from Figure 5

10.17182/hepdata.96955.v1/t4

The centrality dependence of the C$_{m,n,m+n}$ correlations versus N$_{part}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$ from 27 GeV...

• #### Figure 6 (19.6 GeV)

Data from Figure 6

10.17182/hepdata.96955.v1/t5

The centrality dependence of the C$_{m,n,m+n}$ correlations versus N$_{part}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$ from 19.6 GeV...

• #### Figure 6 (14.5 GeV)

Data from Figure 6

10.17182/hepdata.96955.v1/t6

The centrality dependence of the C$_{m,n,m+n}$ correlations versus N$_{part}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$ from 14.5 GeV...

• #### Figure 6 (11.5 GeV)

Data from Figure 6

10.17182/hepdata.96955.v1/t7

The centrality dependence of the C$_{m,n,m+n}$ correlations versus N$_{part}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$ from 11.5 GeV...

• #### Figure 6 (7.7 GeV)

Data from Figure 6

10.17182/hepdata.96955.v1/t8

The centrality dependence of the C$_{m,n,m+n}$ correlations versus N$_{part}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$ from 7.7 GeV...

• #### Figure 7

Data from Figure 7

10.17182/hepdata.96955.v1/t9

Three-particle azimuthal correlations C$_{1,1,2}$ as a function of the first particles p$_{T}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$.

• #### Figure 8 (left)

Data from Figure 8 (left)

10.17182/hepdata.96955.v1/t10

Three-particle azimuthal correlations C$_{1,2,3}$ as a function of the particle one p$_{T}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$.

• #### Figure 8 (right)

Data from Figure 8 (right)

10.17182/hepdata.96955.v1/t11

Three-particle azimuthal correlations C$_{1,2,3}$ as a function of the particle two p$_{T}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$.

• #### Figure 9

Data from Figure 9

10.17182/hepdata.96955.v1/t12

Three-particle azimuthal correlations C$_{2,2,4}$ as a function of the first particles p$_{T}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$.

• #### Figure 10 (left)

Data from Figure 10 (left)

10.17182/hepdata.96955.v1/t13

Three-particle azimuthal correlations C$_{2,3,5}$ as a function of the particle one p$_{T}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$.

• #### Figure 10 (right)

Data from Figure 10 (right)

10.17182/hepdata.96955.v1/t14

Three-particle azimuthal correlations C$_{2,3,5}$ as a function of the particle two p$_{T}$ for charged hadrons with p$_{T}>0.2$ GeV/c and $\eta<1$.

• #### Figure 14 (left)

Data from Figure 14 (left)

10.17182/hepdata.96955.v1/t15

The $\sqrt{s_{NN}}$ and centrality dependence of $v_{1}\{2\}^2$ after short-range correlations,predominantly from quantum and Coulomb effects, have been subtracted.

• #### Figure 14 (right)

Data from Figure 14 (right)

10.17182/hepdata.96955.v1/t16

The $\sqrt{s_{NN}}$ and centrality dependence of $v_{2}\{2\}^2$ after short-range correlations,predominantly from quantum and Coulomb effects, have been subtracted.

• #### Figure 15 (left)

Data from Figure 15 (left)

10.17182/hepdata.96955.v1/t17

The $\sqrt{s_{NN}}$ and centrality dependence of $v_{4}\{2\}^2$ after short-range correlations,predominantly from quantum and Coulomb effects, have been subtracted.

• #### Figure 15 (right)

Data from Figure 15 (right)

10.17182/hepdata.96955.v1/t18

The $\sqrt{s_{NN}}$ and centrality dependence of $v_{5}\{2\}^2$ after short-range correlations,predominantly from quantum and Coulomb effects, have been subtracted.