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 a...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.展开更多
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).
文摘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.
基金山西省自然科学基金( the Natural Science Foundation of Shanxi Province of China under Grant No.2007021016) 中国博士后科学基金( No.20060390170) 天津市高等学校科技发展基金( No.20060610)
