Effect of the curvature on a statistical model of Quark-Gluon-Plasma fireball in the hadronic medium

TL;DR

This paper investigates how curvature influences the statistical modeling of Quark-Gluon Plasma fireballs, leading to improved parameter estimates and closer alignment with lattice QCD results.

Contribution

It introduces curvature effects into the Ramanathan et al. model, significantly refining surface tension and free energy calculations for QGP fireballs.

Findings

Surface tension increased to 0.17 T_c^3, closer to lattice value.

Curvature effect improves agreement with previous models.

Speed of sound remains lower than standard in QGP droplets.

Abstract

The free energy of a Quark-Gluon Plasma fireball in the hadronic medium is calculated in the Ramanathan et al. statistical model including the effect of curvature. The result with this curvature is found to produce significant improvement from earlier results in all the parameters we calculated. The surface tension with this curvature effect is found to be $ 0.17 T_{c}^{3}$, which is two times the earlier value of surface tension which is $ 0.078 T_{c}^{3} $, and it is nearly close to the lattice value $0.24 T_{c}^{3} $. The speed of sound calculated with curvature correction is still found to be smaller in comparision with the standard speed of sound in the QGP droplet.