Influence of EOS on compact star made of hidden sector nucleons

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 $C_{\mathrm{/}sigma}^{\mathrm{\prime }}$,$C_{\mathrm{/}omega}^{\mathrm{\prime }}$, 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 $C_{\mathrm{/}sigma}^{\mathrm{\prime }}$ will also be discussed.