Influence of EOS on compact star made of hidden sector nucleons

Abstract

We study compact star made of degenerate hidden sector nucleons which will be a candidate for cold dark matter. A hidden sector like QCD is considered, and as the low energy effective theory we take (hidden sector) $SU(2)$ chiral sigma model including hidden sector vector meson. With the mean field approximation, we find that one can treat the equation of state (EOS) of our model analytically by introducing a variable which depends on the Fermi momentum. The EOS is specified by the two parameters $C_{/sigma}^{\prime }$,$C_{/omega}^{\prime }$, and we discuss how these parameters affect on the mass-radius relation for compact star as well as on the EOS. The dependence of the maximum stable mass of compact stars on the parameter $C_{/sigma}^{\prime }$ will also be discussed.

26 pages, Revised arguments in section 1 and 5, results unchanged, Added references for section 1

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