Hadron melting and QCD thermodynamics

TL;DR

This paper investigates the mechanisms of hadron melting in QCD thermodynamics using spectral representations and a statistical model, identifying the transition temperature and its relation to the crossover temperature.

Contribution

It introduces a spectral approach to hadron melting and applies it within a statistical model to connect hadron widths with the QCD phase transition.

Findings

Hadron-quark gluon plasma transition occurs at 200-250 MeV.

The observable crossover temperature T_c=156 MeV marks the onset of hadron melting.

The model links hadron widths to the thermodynamic transition.

Abstract

We study in this paper mechanisms of hadron melting based on the spectral representation of hadronic quantum channels, and examine the hadron width dependence of the pressure. The findings are applied to a statistical hadron model of QCD thermodynamics, where hadron masses are distributed by the Hagedorn model and a uniform mechanism for producing hadron widths is assumed. According to this model the hadron - quark gluon plasma transition occurs at $T\approx 200$-250 MeV, the numerically observable $T_c=156$ MeV crossover temperature is relevant for the onset of the hadron melting process.