Criticality in a hadron resonance gas model with the van der Waals interaction

Subhasis Samanta,Bedangadas Mohanty

doi:10.1103/physrevc.97.015201

Subhasis Samanta, Bedangadas Mohanty

Open Access

https://doi.org/10.1103/physrevc.97.015201

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Abstract

The van der Waals interaction is implemented in a Hadron Resonance Gas model. It is shown that this model can describe Lattice QCD data of different thermodynamical quantities satisfactorily with the van der Waals parameters $a = 1250 \pm 150$ MeV fm$^3$ and $r = 0.7 \pm 0.05$ fm. Further, a phase transition is observed in this model with the critical point at temperature, $T = 62.1$ MeV and baryon chemical potential, $\mu_B = 708$ MeV.

Highlights

Lattice quantum chromodynamics (LQCD) [1,2,3,4,5] provides a first principle approach to study strongly interacting matter at zero chemical potential and finite temperature (T )
The motivation of the present work is to carry out the reverse prescription, that is to find out van der Waals parameters a and b that give the best description of LQCD data at zero chemical potential using the VDWHRG model and extend this work to the finite chemical potential and try to locate the existence of a critical point in the QCD phase diagram
We assume that van der Waals parameters a and r are independent of temperature and chemical potential

Summary

INTRODUCTION

Lattice quantum chromodynamics (LQCD) [1,2,3,4,5] provides a first principle approach to study strongly interacting matter at zero chemical potential (μB) and finite temperature (T ). The ideal or noninteracting hadron resonance gas (HRG) model is quite successful in reproducing the zero chemical potential LQCD data of bulk properties of the QCD matter at low temperatures T < 150 MeV [3,4,5,15,16]. The VDWHRG model shows first-order liquid-gas phase transition in nuclear matter at large chemical potentials and small temperatures which was not observed in other HRG models like ideal HRG or EVHRG models. The motivation of the present work is to carry out the reverse prescription, that is to find out van der Waals parameters a and b that give the best description of LQCD data at zero chemical potential using the VDWHRG model and extend this work to the finite chemical potential and try to locate the existence of a critical point in the QCD phase diagram.

MODEL DESCRIPTION

RESULTS

SUMMARY