Effects of hadronic repulsive interactions on the fluctuations of conserved charges

TL;DR

This paper explores how repulsive interactions among hadrons influence conserved charge fluctuations, emphasizing their importance near the transition temperature and for matching lattice simulation results.

Contribution

It extends the hadron resonance gas model by incorporating mean-field repulsive interactions, highlighting their critical role in accurately describing fluctuations.

Findings

Repulsive interactions significantly affect charge susceptibilities near transition temperature.

Mesonic repulsions are necessary for higher order fluctuation descriptions.

Baryonic repulsions are essential for lattice simulation agreement at finite chemical potential.

Abstract

We investigate the effects of repulsive interaction between hadrons on the fluctuations of the conserved charges. We calculate the baryon,the electric charge and the strangeness susceptibilities within the ambit of hadron resonance gas model extended to include the short range repulsive interactions.The repulsive interactions are included through a mean-field approach where the single particle energy gets modified due to mean field interactions between hadrons proportional to the number density of hadrons.We assume different mean-field interactions for mesons and baryons. It is shown that the repulsive interactions play a very crucial role to describe hadronic matter near transition temperature. We also show that in order to consistently describe higher order conserved charge fluctuations mesonic repulsive interactions cannot be neglected. Further, we demonstrate that the repulsive interaction of baryons are essential to describe the lattice simulation results at finite baryonchemical potential for higher order fluctuations.