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arXiv:nucl-th/0302012·v1·Nuclear Theory

A schematic model for QCD II: finite temperature regime

S. Jesgarz (1) · S. Lerma (1) · P. O. Hess (1) · O. Civitarese (2) · M. Reboiro (2) ((1)Instituto de Cs. Nucleares, UNAM, Mexico, (2)Dept of Physics. Univ.of La Plata, Argentina)

Abstract

A schematic model for QCD, developed in a previous paper, is applied to calculate meson properties in the high temperature (up to 0.5 GeV) regime. It is a Lipkin model for quark-antiquark pairs coupled to gluon pairs of spin zero. The partition function is constructed with the obtained meson spectrum and several thermodynamical observables are calculated, like: the energy density, heat capacity, as well as relative production rates of mesons and absolute production rates for pions and kaons. The model predictions show a qualitative agreement with data. Based on these results we advocate the use of the model as a toy model for QCD.

Comments: LateX, 28 pages, 12 figures. submitted to Physical Review C

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