Hadron melting and QCD thermodynamics

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 approximate to 200-250 MeV, and the numerically observable T-c = 156 MeV crossover temperature is relevant for the onset of the hadron melting process