Effect of magnetic field on the optical and thermodynamic properties of a high-temperature hadron resonance gas with van der Waals interactions

Abstract

We study the behavior of a hadronic matter in the presence of an external magnetic field within the van der Waals hadron resonance gas (VDWHRG) model, considering both attractive and repulsive interactions among the hadrons. Various thermodynamic quantities like pressure ($P$), energy density ($\varepsilon$), magnetization ($\mathcal{M}$), entropy density ($s$), squared speed of sound ($c_{\rm s}^{2}$), specific heat capacity at constant volume ($c_{v}$) are calculated as functions of temperature ($T$) and static finite magnetic field ($eB$). We also consider the effect of baryochemical potential ($\mu_{B}$) on the above-mentioned thermodynamic observables in the presence of a magnetic field. Further, we estimate the magnetic susceptibility ($\chi_{\rm M}^{2}$), relative permeability ($\mu_{\rm r}$), and electrical susceptibility ($\chi_{\rm Q}^{2}$) which can help us to understand the system better. With the information of $\mu_{\rm r}$ and dielectric constant ($\epsilon_{r}$), we enumerate the refractive index ($RI$) of the system under consideration. Through this model, we quantify a liquid-gas phase transition in the T-eB-$\mu_B$ phase space.Comment: 18 pages and 5-captioned figures. Submitted for publicatio