Statistical hadronization and hadronic microcanonical ensemble I

Details Statistical hadronization and hadronic microcanonical ensemble I Statistical hadronization and hadronic microcanonical ensemble I

2003-07-04

arxiv.org/abs/hep-ph/0307061v2

Eur.Phys.J. C35 (2004) 243-258

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, LaTeX macros svjour.cls and svepj.clo needed, revised version to be published in Eur. Phys. J. C

Scientific paper

10.1140/epjc/s2004-01850-1

We present a full treatment of the microcanonical ensemble of the ideal hadron-resonance gas in a quantum-mechanical framework which is appropriate for the statistical model of hadronization. By using a suitable transition operator for hadronization we are able to recover the results of the statistical theory, particularly the expressions of the rates of different channels. Explicit formulae are obtained for the phase space volume or density of states of the ideal relativistic gas in quantum statistics which, for large volumes, turn to a cluster decomposition whose terms beyond the leading one account for Bose-Einstein and Fermi-Dirac correlations. The problem of the computation of the microcanonical ensemble and its comparison with the canonical one, which will be the main subject of a forthcoming paper, is addressed.

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