# Transport coefficients for multi-component gas of hadrons using Chapman Enskog method

## TL;DR

This paper calculates the transport coefficients of a multi-component hadronic gas at different chemical potentials using the Chapman-Enskog method within an S-matrix based model, providing temperature-dependent results and comparisons with prior studies.

## Contribution

It introduces a novel calculation of transport coefficients for hadronic gases using an S-matrix based approach combined with Chapman-Enskog method, including temperature dependence and chemical potential effects.

## Key findings

- Transport coefficients depend on temperature and chemical potential.
- Results are consistent with previous literature.
- Provides detailed shear viscosity, bulk viscosity, heat conductivity, and diffusion coefficients.

## Abstract

The transport coefficients of a multi-component hadronic gas at zero and non-zero baryon chemical potential are calculated using the Chapman-Enskog method. The calculations are done within the framework of an $S$-matrix based interacting hadron resonance gas model. In this model, the phase-shifts and cross-sections are calculated using $K$-matrix formalism and where required, by parameterizing the experimental phase-shifts. Using the energy dependence of cross-section, we find the temperature dependence of various transport coefficients such as shear viscosity, bulk viscosity, heat conductivity and diffusion coefficient. We finally compare our results regarding various transport coefficients with previous results in the literature.