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Isolation of Flow and Nonflow Correlations by Two- and Four-Particle Cumulant Measurements of Azimuthal Harmonics in $\sqrt{s_{_{\rm NN}}} =$ 200 GeV Au+Au Collisions

The collaboration
Phys.Lett. B745 (2015) 40-47, 2015

Abstract (data abstract)
BNL-RHIC. A data-driven method was applied to measurements of Au+Au collisions at $\sqrt{s_{_{\rm NN}}} =$ 200 GeV made with the STAR detector at RHIC to isolate pseudorapidity distance $\Delta\eta$-dependent and $\Delta\eta$-independent correlations by using two- and four-particle azimuthal cumulant measurements. We identified a component of the correlation that is $\Delta\eta$-independent, which is likely dominated by anisotropic flow and flow fluctuations. It was also found to be independent of $\eta$ within the measured range of pseudorapidity $|\eta|<1$. The relative flow fluctuation was found to be $34\% \pm 2\% (stat.) \pm 3\% (sys.)$ for particles of transverse momentum $p_{T}$ less than $2$ GeV/$c$. The $\Delta\eta$-dependent part may be attributed to nonflow correlations, and is found to be $5\% \pm 2\% (sys.)$ relative to the flow of the measured second harmonic cumulant at $|\Delta\eta| > 0.7$.

• #### Table 1

Data from Figure 1a

10.17182/hepdata.73493.v1/t1

The second harmonic two-particle cumulants for ($\eta_{\alpha}$, $\eta_{\beta}$ pairs for 20-30% central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

• #### Table 2

Data from Figure 1b

10.17182/hepdata.73493.v1/t2

The third harmonic two-particle cumulants for ($\eta_{\alpha}$, $\eta_{\beta}$ pairs for 20-30% central Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV.

• #### Table 3

Data from Figure 1c

10.17182/hepdata.73493.v1/t3

The second harmonic four-particle cumulant for ($\eta_{\alpha}$, $\eta_{\alpha}$, $\eta_{\beta}$, $\eta_{\beta}$) quadruplets for 20-30% central Au+Au collisions at $\sqrt{s_{NN}}$ = 200...

• #### Table 4

Data from Figure 2a

10.17182/hepdata.73493.v1/t4

The $V_2${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au...

• #### Table 5

Data from Figure 2a

10.17182/hepdata.73493.v1/t5

The $V_2${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au...

• #### Table 6

Data from Figure 2a

10.17182/hepdata.73493.v1/t6

The $V_2${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au...

• #### Table 7

Data from Figure 2a

10.17182/hepdata.73493.v1/t7

The $V_2${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au...

• #### Table 8

Data from Figure 2b

10.17182/hepdata.73493.v1/t8

The $V_3${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au...

• #### Table 9

Data from Figure 2b

10.17182/hepdata.73493.v1/t9

The $V_3${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au...

• #### Table 10

Data from Figure 2b

10.17182/hepdata.73493.v1/t10

The $V_3${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au...

• #### Table 11

Data from Figure 2b

10.17182/hepdata.73493.v1/t11

The $V_3${2} and difference between the pairs at ($\eta_{\alpha}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, -$\eta_{\beta}$). The data are from 20-30% central Au+Au...

• #### Table 12

Data from Figure 2c

10.17182/hepdata.73493.v1/t12

The $V_2^{1/2}$ difference between quadruplets at ($\eta_{\alpha}$, $\eta_{\alpha}$, $\eta_{\beta}$, $\eta_{\beta}$) and ($\eta_{\alpha}$, $\eta_{\alpha}$, -$\eta_{\beta}$, -$\eta_{\beta}$).

• #### Table 13

Data from Figure 3a

10.17182/hepdata.73493.v1/t13

The two-particle cumulants, V2{2} as a function of $\eta$ for one particle while averaged over $\eta$ of the partner particle.

• #### Table 14

Data from Figure 3c

10.17182/hepdata.73493.v1/t14

The two-particle cumulants, V2{2} as a function of $\eta$.

• #### Table 15

Data from Figure 3c

10.17182/hepdata.73493.v1/t15

The two-particle cumulants, V2{2} as a function of $\eta$ for one particle while averaged over $\eta$ of the partner particle.

• #### Table 16

Data from Figure 3c

10.17182/hepdata.73493.v1/t16

The difference in two-particle cumulants, V2{2} as a function of $\eta$ for one particle while averaged over $\eta$ of the...

• #### Table 17

Data from Figure 3c

10.17182/hepdata.73493.v1/t17

No description provided.

• #### Table 18

Data from Figure 3(d)

10.17182/hepdata.73493.v1/t18

V3{2} as a function of $\eta$.

• #### Table 19

Data from Figure 3(d)

10.17182/hepdata.73493.v1/t19

<$V_3^2$> as a function of $\eta$.

• #### Table 20

Data from Figure 4(a)

10.17182/hepdata.73493.v1/t20

The $\Delta\eta$-dependent component of the two-particle cumulant with $\Delta\eta$-gap, $D^-$ in Eq. (11), of the second harmonic is shown as...

• #### Table 21

Data from Figure 4(b)

10.17182/hepdata.73493.v1/t21

The $\Delta\eta$-dependent component of the two-particle cumulant with $\Delta\eta$-gap, $D^-$ in Eq. (11), of the third harmonic is shown as...

• #### Table 22

Data from Figure 5(a)

10.17182/hepdata.73493.v1/t22

The nonflow, $\sqrt{\bar{D}_2}$, $\sqrt{\delta_2}$, $\sqrt{\bar{D}_3}$ and flow, $\sqrt{v_2^2/2}$, $\sqrt{<v_2^2>}$ results are shown as a function of centrality percentile for the...

• #### Table 23

Data from Figure 5(a)

10.17182/hepdata.73493.v1/t23

The nonflow, $\sqrt{\bar{D}_2}$, $\sqrt{\delta_2}$, $\sqrt{\bar{D}_3}$ and flow, $\sqrt{v_2^2/2}$, $\sqrt{<v_2^2>}$ results are shown as a function of centrality percentile for the...

• #### Table 24

Data from Figure 5(a)

10.17182/hepdata.73493.v1/t24

The nonflow, $\sqrt{\bar{D}_2}$, $\sqrt{\delta_2}$, $sqrt{\bar{D}_3}$ and flow, $\sqrt{v_2^2/2}$, $\sqrt{<v_2^2>}$ results are shown as a function of centrality percentile for the...

• #### Table 25

Data from Figure 5b

10.17182/hepdata.73493.v1/t25

The nonflow, $\sqrt{\bar{D}_2}$, $\sqrt{\delta_2}$, $sqrt{\bar{D}_3}$ and flow, $\sqrt{v_2^2/2}$, $\sqrt{<v_2^2>}$ results are shown as a function of centrality percentile for the...

• #### Table 26

Data from Figure 5b

10.17182/hepdata.73493.v1/t26

The nonflow, $\sqrt{\bar{D}_2}$, $sqrt{\delta_2}$, $\sqrt{\bar{D}_3}$ and flow, $\sqrt{v_2^2/2}$, $\sqrt{<v_2^2>}$ results are shown as a function of centrality percentile for the...

• #### Table 27

Data from Figure 6

10.17182/hepdata.73493.v1/t27

The relative elliptic flow fluctuation $\sigma_2/<v_2>$ centrality dependence in $\sqrt{s_{NN}}$ = 200 GeV Au+Au collisions.