Effects of hadronic repulsive interactions on the fluctuations of conserved charges

Somenath Pal,Guruprasad Kadam,Hiranmaya Mishra,Abhijit Bhattacharyya

doi:10.1103/physrevd.103.054015

Somenath Pal, Guruprasad Kadam + Show 2 more

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https://doi.org/10.1103/physrevd.103.054015

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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.

Highlights

Studies of strongly interacting matter at high temperatures and/or densities have been a vibrant area of research for several decades
In the hadron resonance gas (HRG) model, the thermodynamic quantities of low temperature hadronic matter can be obtained from the partition function which contains all relevant degrees of freedom of the confined quantum chromodynamics (QCD) phase and implicitly includes the interactions that result in resonance formation
We are going to discuss the results of susceptibilities of different conserved quantities calculated from the mean-field HRG (MFHRG) model

Summary

INTRODUCTION

Studies of strongly interacting matter at high temperatures and/or densities have been a vibrant area of research for several decades. In the HRG model, the thermodynamic quantities of low temperature hadronic matter can be obtained from the partition function which contains all relevant degrees of freedom of the confined QCD phase and implicitly includes the (attractive) interactions that result in resonance formation. Another approach has been to include repulsive interaction through a repulsive density-dependent mean field [77,78,79,80] Such a mean-field HRG (MFHRG) model has been used to compute fluctuations in the net baryon number and the strangeness-baryon correlation at vanishing chemical potentials [79]. This was considered for hadron thermodynamics and transport properties [80] of hadronic matter.

HADRON RESONANCE GAS MODEL WITH A REPULSIVE MEAN-FIELD INTERACTION

RESULTS AND DISCUSSION

SUMMARY