The canonical partition function for relativistic hadron gases

TL;DR

This paper develops an analytical method to compute the canonical partition function for relativistic hadron gases, incorporating exact conservation laws and quantum statistics, aiding analysis of particle yields in high-energy collisions.

Contribution

It introduces a new analytical series expression for the canonical partition function considering multiple conserved charges in relativistic hadron gases.

Findings

Derived an analytical series expression for the partition function.

Quantified the impact of quantum statistics on particle multiplicities.

Provided a tool for analyzing particle production in high-energy collisions.

Abstract

Particle production in high-energy collisions is often addressed within the framework of the thermal (statistical) model. We present a method to calculate the canonical partition function for the hadron resonance gas with exact conservation of the baryon number, strangeness, electric charge, charmness and bottomness. We derive an analytical expression for the partition function which is represented as series of Bessel functions. Our results can be used directly to analyze particle production yields in elementary and in heavy ion collisions. We also quantify the importance of quantum statistics in the calculations of the light particle multiplicities in the canonical thermal model of the hadron resonance gas.