Hagedorn Thermostat: A Novel View of Hadronic Thermodynamics
K. A. Bugaev, J. B. Elliott, L. G. Moretto, L. Phair

TL;DR
This paper presents a microcanonical analysis of Hagedorn systems, demonstrating their role as perfect thermostats with a temperature near the Hagedorn temperature, and explores how mass spectrum cut-offs influence hadronization temperatures in particle collisions.
Contribution
It introduces a new microcanonical framework for Hagedorn systems and explains their thermostatic properties, providing insights into the universal hadronization temperature observed in experiments.
Findings
Hagedorn systems act as perfect thermostats at temperature T_H.
Presence of a mass cut-off affects the temperature for large particle numbers.
The model explains the universal hadronization temperature in high-energy collisions.
Abstract
A microcanonical treatment of Hagedorn systems, i.e. finite mass hadronic resonances with an exponential mass spectrum controlled by the Hagedorn temperature , is performed. We show that, in the absence of any restrictions, a Hagedorn system is a perfect thermostat, i.e. it imparts its temperature to any other system in thermal contact with it. We study the thermodynamic effects of the lower mass cut-off in the Hagedorn mass spectrum. We show that in the presence of a single Hagedorn resonance the temperature of any number of Boltzmann particles differs only slightly from up to the kinematically allowed limit . For however, the low mass cut-off leads to a decrease of the temperature as grows. The properties of Hagedorn thermostats naturally explain a single value of hadronization temperature observed in elementary particle…
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Taxonomy
TopicsHigh-Energy Particle Collisions Research · Cosmology and Gravitation Theories · Stochastic processes and statistical mechanics
