Criticality in a Hadron Resonance Gas model with the van der Waals interaction

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.