Locating critical point of QCD phase transition basing on finite-size scaling

TL;DR

This paper proposes using finite-size scaling to locate the critical point of the QCD phase transition in heavy ion collisions, analyzing RHIC/STAR data to identify potential critical points around specific energies.

Contribution

It introduces a finite-size scaling method for locating the QCD critical point in relativistic heavy ion collisions, providing a new criterion over traditional non-monotonous observable behavior.

Findings

Critical points likely around $ oot s =62$ and 200 GeV.

Potential links to deconfinement and chiral symmetry restoration.

Finite-size scaling effectively identifies critical regions.

Abstract

It is argued that in relativistic heavy ion collisions, due to limited size of the formed matter, the reliable criterion of critical point is finite-size scaling, rather than non-monotonous behavior of observable. How to locate critical point by finite-size scaling is proposed. The data of $\pt$ correlation from RHIC/STAR are analyzed. Critical points are likely observed around $\sqrt s =62$ and 200 GeV. They could be, respectively, the transition of deconfinement and chiral symmetry restoration predicted by lattice-QCD. Further confirmation with other observable and energies is suggested.