Static critical fluctuations on the freeze-out surface

TL;DR

This paper introduces a freeze-out scheme incorporating static critical fluctuations to model QCD critical point phenomena, successfully describing certain fluctuation data but overestimating others.

Contribution

It presents a novel freeze-out framework that integrates static critical fluctuations into dynamical models near the QCD critical point.

Findings

Successfully describes $C_4$ and ${ ext{kappa} ext{sigma}^2}$ data for net protons.

Qualitatively reproduces momentum acceptance dependence of higher cumulants.

Over-predicts $C_2$ and $C_3$ due to positive static critical fluctuations.

Abstract

In this proceeding, we summarize the main results of our recent paper, which introduces a freeze-out scheme to the dynamical models near the QCD critical point. Within such framework of static critical fluctuations, the Beam Energy Scan (BES) data of $C_4$ and $\kappa \sigma^2$ for net protons within different $p_T$ ranges can be roughly described. Besides, the momentum acceptance dependence of higher cumulants at lower collision energies can also be qualitatively described. However, $C_2$ and $C_3$ are always over-predicted due to the positive static critical fluctuations.