The canonical partition function for relativistic hadron gases

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.

10 pages, 2 figures; submitted for publication in EPJ C

References in corpus (8)

• Thermal hadron production in relativistic nuclear collisions: the hadron mass spectrum, the horn, and the QCD phase transition
• The Thermal Production of Strange and Non-Strange Hadrons in e+e- Collisions
• Chemical freeze-out in ultra-relativistic heavy ion collisions at sqrt(s)_NN = 130 and 200 GeV
• Statistical Model Predictions for Particle Ratios at sqrt(s_NN) = 5.5 TeV
• Statistical hadronization of heavy flavor quarks in elementary collisions: successes and failures
• The sinh-Gordon defect matrix generalized for n defects
• Canonical Statistical Model and hadron production in $e^{+}{e}^{-}$ annihilations
• Thermal description of hadron production in e+e- collisions

Cited by in corpus (1)

• Heavy quark(onium) at LHC: the statistical hadronization case