Influence of initial size on higher cumulant ratios of net-proton number fluctuations

TL;DR

This study investigates how the initial size of collision systems affects higher cumulant ratios of net-proton fluctuations, revealing that dynamical ratios are nearly independent of centrality at RHIC energies.

Contribution

It demonstrates that the dynamical cumulant ratios are almost unaffected by initial size variations, providing insights into fluctuation measurements in heavy-ion collisions.

Findings

Dynamical ratios are nearly centrality independent.

Impact parameter presentation shows strong centrality dependence.

Participant number or charged multiplicity reduces centrality dependence.

Abstract

With the help of AMPT default model, we study the influence of initial size (centrality of collisions) on higher cumulant ratios of net-proton distributions. If the centrality is presented by impact parameter, there is a strong centrality dependent, in particular, in those peripheral collisions. This dependence is slightly reduced if the centrality is presented by number of participant, or charged multiplicity. However, the dynamical ratios are almost centrality independent. So the centrality dependence of dynamical ratios at RHIC beam energy scan are presented.