Self-consistency in non-extensive thermodynamics of highly excited hadronic states

TL;DR

This paper investigates a self-consistent thermodynamical framework for highly excited hadronic states using non-extensive statistics, revealing a limiting temperature consistent with experimental data.

Contribution

It demonstrates that a self-consistent non-extensive thermodynamics for hadronic systems requires a q-exponential growth in mass spectrum and energy density, leading to a limiting temperature.

Findings

Existence of a limiting effective temperature for hadronic systems.

Agreement of the theory with experimental observations.

Validation of the asymptotic bootstrap principle in this context.

Abstract

The self-consistency of a thermodynamical theory for hadronic sys- tems based on the non-extensive statistics is investigated. We show that it is possible to obtain a self-consistent theory according to the asymptotic bootstrap principle if the mass spectrum and the energy density increase q-exponentially. A direct consequence is the existence of a limiting effective temperature for the hadronic system. We show that this result is in agreement with experiments.