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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 STAR 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.

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