Correlations of flow harmonics in 2.76A TeV Pb--Pb collisions

Xiangrong Zhu; You Zhou; Haojie Xu; Huichao Song

doi:10.1103/PhysRevC.95.044902

paper

Correlations of flow harmonics in 2.76A TeV Pb--Pb collisions

arXiv:1608.05305 · doi:10.1103/PhysRevC.95.044902

Abstract

Using the event-by-event viscous hydrodynamics VISH2+1 with MC-Glauber, MC-KLN, and AMPT initial conditions, we investigate the correlations of flow harmonics, including the symmetric cumulants $S C^{v} (m, n)$ , the normalized symmetric cumulants $N S C (m, n)$ , and the Pearson correlation coefficients $C (v_{m}^{2}, v_{n}^{2})$ in 2.76A TeV Pb--Pb collisions. We find $S C^{v} (m, n)$ is sensitive to both initial conditions and the specific shear viscosity $η / s$ . A comparison with the recent ALICE data show that our hydrodynamic calculations can qualitatively describe the data of $S C^{v} (3, 2)$ and $S C^{v} (4, 2)$ for various initial conditions, which demonstrate that $v_{2}$ , $v_{4}$ are correlated and $v_{2}$ , $v_{3}$ are anti-correlated. Meanwhile, the predicted symmetric cumulants $S C^{v} (5, 2)$ , $S C^{v} (5, 3)$ , and $S C^{v} (4, 3)$ reveal that $v_{2}$ and $v_{5}$ , $v_{3}$ and $v_{5}$ are correlated, $v_{3}$ and $v_{4}$ are anti-correlated in most centrality classes. We also find $N S C^{v} (3, 2)$ and $C (v_{3}^{2}, v_{2}^{2})$ , which are insensitive to $η / s$ , are mainly determined by corresponding $N S C^{ε} (3, 2)$ and $C (ε_{3}^{2}, ε_{2}^{2})$ correlators from the initial state. In contrast, other $N S C^{v} (m, n)$ and $C (v_{m}^{2}, v_{n}^{2})$ correlators are influenced by both initial conditions and $η / s$ , which illustrates the non-linear mode couplings in higher flow harmonics with $n \geq 4$ .

10 pages, 7 figures

Correlations of flow harmonics in 2.76A TeV Pb--Pb collisions

Abstract

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