Statistical and dynamical fluctuations of Binder ratios in heavy ion collisions

TL;DR

This paper investigates statistical and dynamical fluctuations of Binder ratios in heavy ion collisions, proposing a dynamical Binder ratio to better identify the QCD critical point through energy-dependent measurements.

Contribution

It introduces the concept of a dynamical Binder ratio and explores its behavior across energies and system sizes in heavy ion collisions.

Findings

Statistical fluctuations significantly affect higher-order Binder ratios.

Dynamical Binder ratios show distinct energy dependence.

Results suggest dynamical Binder ratios are useful for locating the QCD critical point.

Abstract

Higher moments of net-proton Binder ratio, which is suggested to be a good experimental measurement to locate the QCD critical point, is measured in relativistic heavy ion collisions. We firstly estimate the effect of statistical fluctuations of the third and forth order Binder ratios. Then the dynamical Binder ratio is proposed and investigated in both transport and statistical models. The energy dependence of dynamical Binder ratios with different system sizes at RHIC beam scan energies are presented and discussed.