In-medium thermal conductivity and diffusion coefficients of a hot hadronic gas mixture

TL;DR

This study uses relativistic kinetic theory to analyze how medium effects influence thermal conductivity and diffusion in a hot hadronic gas mixture of nucleons and pions, considering temperature and chemical potential variations.

Contribution

It introduces medium modifications to collision cross-sections in calculating transport coefficients for a hot hadronic mixture, advancing understanding of in-medium effects.

Findings

Medium effects significantly alter transport coefficients.

Temperature and chemical potential impact heat flow and diffusion.

Results provide insights into hadronic matter behavior in high-energy environments.

Abstract

The relativistic kinetic theory approach has been employed to study four well-known transport coefficients that characterize heat flow and diffusion for the case of a hot mixture constituting of nucleons and pions. Medium effects on the cross-section for binary collisions ($N\pi$,$\pi\pi$) have been taken into consideration by incorporating self-energy corrections to modify the propagator of the exchanged $\Delta$ baryon in $N\pi$ interaction and the $\rho$ and $\sigma$ meson propagators for the case of $\pi\pi$ interaction. The temperature dependence of the four coefficients have been investigated for several values of the baryon chemical potential.