Systematic Analysis of Flow Distributions
arXiv:2006.16019 · doi:10.1103/PhysRevC.102.064907
Abstract
The information of the event-by-event fluctuations is extracted from flow harmonic distributions and cumulants, which can be done experimentally. In this work, we employ the standard method of Gram-Charlier series with the normal kernel to find such distribution, which is the generalization of recently introduced flow distributions for the studies of the event-by-event fluctuations. Also, we introduce a new set of cumulants which have more information about the fluctuations compared with other known cumulants. The experimental data imply that not only all of the information about the event-by-event fluctuations of collision zone properties and different stages of the heavy-ion process are not encoded in the radial flow distribution , but also the observables describing harmonic flows can generally be given by the joint distribution . In such a way, we first introduce a set of joint cumulants , and then we find the flow joint distribution using these joint cumulants. Finally, we show that the Symmetric Cumulants and obtained from ALICE data are explained by the combinations and .
arXiv comment12 pages, 6 figures
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