Strange matter equation of state in the quark mass-density-dependent model

Mathematics – Logic

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Phenomenological Quark Models, Thermodynamic Functions And Equations Of State, Neutron Stars

Scientific paper

We study the properties and stability of strange matter at T=0 in the quark mass-density-dependent model for noninteracting quarks. We found a wide ``stability window'' for the values of the parameters (C,Ms0) and the resulting equation of state at low densities is stiffer than that of the MIT bag model. At high densities it tends to the ultrarelativistic behavior expected because of the asymptotic freedom of quarks. The density of zero pressure is near the one predicted by the bag model and not shifted away as stated before; nevertheless, at these densities the velocity of sound is ~=50% larger in this model than in the bag model. We have integrated the equations of stellar structure for strange stars with the present equation of state. We found that the mass-radius relation is very much the same as in the bag model, although it extends to more massive objects, due to the stiffening of the equation of state at low densities.

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