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

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

1997-01-10

arxiv.org/abs/hep-ph/9701265v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, 10 PostScript Figures; use sprocl.sty

Scientific paper

The problem of entropy S and baryon number N_B 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/N_B 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 B_{QGP} by making it dependent on system temperature T and baryon chemical potential mu; this modification has been demonstrated to be sufficient to provide S/N_B conservation. Here we show that within DPTM such a modification turns out to be necessary and sufficient for bag pressure B_Q 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 $\mu -T$ 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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