2005/04/02 by K. A. Bugaev, Bugaev, K. A., J. B. Elliott +5 · 1 citation
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #High-Energy Particle Collisions Research #Stochastic processes and statistical mechanics #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0504011
5 pages, 1 figure
arxiv created 2005/04/02 · arxiv updated 2009/12/01
A microcanonical treatment of Hagedorn systems, i.e. finite mass hadronic resonances with an exponential mass spectrum controlled by the Hagedorn temperature TH, is performed. We show that, in the absence of any restrictions, a Hagedorn system is a perfect thermostat, i.e. it imparts its temperature TH 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 NB Boltzmann particles differs only slightly from TH up to the kinematically allowed limit NBkin. For NB > NBkin however, the low mass cut-off leads to a decrease of the temperature as NB grows. The properties of Hagedorn thermostats naturally explain a single value of hadronization temperature observed in elementary particle collisions at high energies and lead to some experimental predictions.