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Double Phase Transition Model and the problem of entropy and baryon number conservation

1997/01/10 by Olga Chernavskaya, O. D. Chernavskaya, Chernavskaya, O. D.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9701265

20 pages, 10 PostScript Figures; use sprocl.sty

arxiv created 1997/01/10 · openalex publication_date 1997/01/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The problem of entropy S and baryon number NB conservation in phase transitions from deconfined phases (QGP and Q) to hadronic matter H is considered. It is shown that standard construction of both first order phase transitions, H-Q as well as Q-QGP implies a discontinuous structure of entropy per baryon S/NB when crossing phase boundary; this results in impossibility of equilibrium transition from QGP to hadron gas. We follow the way suggested recently by H. Satz et al. for the same problem concerning direct transition H-QGP. They proposed a modification of bag pressure parameter BQGP by making it dependent on system temperature T and baryon chemical potential mu; this modification has been demonstrated to be sufficient to provide S/NB conservation. Here we show that within DPTM such a modification turns out to be necessary and sufficient for bag pressure BQ in the Q phase only. The DPTM modified in such a way is shown to satisfy equilibrium Gibbs criteria for phase transitions. Location of phase boundaries in μ-T plane has been demonstrated to be changed but slightly; the modification tells mainly on baryon number density within Q phase. Two alternative descriptions of nucleon-nucleon interaction - the Hard Core Model and the Mean Field Approximation - have been tested; the results for both cases appeared to be similar. All the results are shown to be stable against rather broad variations of model parameters.

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