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Paper   IPM / Particles / 16567
School of Particles and Accelerator
  Title:   Systematic Analysis of Flow Distributions
  Author(s):  Hadi Mehrabpour
  Status:   Published
  Journal: Phys. Rev. C
  No.:  064907
  Vol.:  102
  Year:  2020
  Supported by:  IPM
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 jn2k 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 p(vn), but also the observables describing harmonic flows can generally be given by the joint distribution P(v1,v2,...). In such a way, we first introduce a set of joint cumulants Knm, and then we find the flow joint distribution using these joint cumulants. Finally, we show that the Symmetric Cumulants SC(2,3) and SC(2,4) obtained from ALICE data are explained by the combinations K22+12K04−K31 and K22+4K211.

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