Decomposition of multi-particle azimuthal correlations in Q-cumulant analysis  

作　　者：L.Nađđerđ J.Milošević D.Devetak 王福强 L.Nađđerđ;J.Milošević;D.Devetak;Fu-Qiang Wang(Department of physics,"VINČA"Institute of Nuclear Science-National Institute of the Republic of Serbia,University of Belgrade,Mike Petrovića Alasa 12-14,Vinča 11351,Belgrade,Serbia;Strong coupling Physics International Research Laboratory,Huzhou University,Huzhou 313000,China;College of Science,Huzhou University,Huzhou 313000,China;Department of Physics and Astronomy,Purdue University,Indiana 47907,USA)

机构地区：[1]Department of physics,"VINČA"Institute of Nuclear Science-National Institute of the Republic of Serbia,University of Belgrade,Mike Petrovića Alasa 12-14,Vinča 11351,Belgrade,Serbia [2]Strong coupling Physics International Research Laboratory,Huzhou University,Huzhou 313000,China [3]College of Science,Huzhou University,Huzhou 313000,China [4]Department of Physics and Astronomy,Purdue University,Indiana 47907,USA

出　　处：《Chinese Physics C》2023年第10期178-196,共19页中国物理C（英文版）

基　　金：the Ministry of Education Science and Technological Development,Republic of Serbia,the National Natural Science Foundation of China(12035006,12075085,12147219);the U.S.Department of Energy(de-sc0012910).

摘　　要：The method of Q-cumulants is a powerful tool for studying the fine details of azimuthal anisotropies in high energy nuclear collisions.This paper presents a new method,based on mathematical induction,to evaluate the analytical form of high-order Q-cumulants.The capability of this method is demonstrated via a toy model that uses the elliptic power distribution to simulate the anisotropic emission of particles,quantified in terms of Fourier flow harmonics v_(n).The method can help in studying the large amount of event statistics that can be collected in the future and allow measurements of the very high central moments of the v_(2)distribution.This can,in turn,facilitate progress in understanding the initial geometry,the input to the hydrodynamic calculations of medium expansion in high energy nuclear collisions,and the constraints on it.

关 键 词：quark gluon plasma azimuthal anisotropies Q-cumulants Pfaff transformation 

分 类 号：O572.2[理学—粒子物理与原子核物理]