| It was confirmed that the well-known nucleons are composed of quarks. Being fermions, at high density quarks can pair and thus produce color superconductor like electrons pairing. There is compact nuclear matter in a neutron star. Some scholars believe that quark stars, color superconductivity in neutron stars are exist, Based on above physics backgrounds, the paper focuses on two aspects:One is how color superconductivity phase and the rotation frequency influence the mass radius relations of the neutron star; the other is calculating the latent heat from the phase transitions in the four kinds of Spin one color superconductivity.We study the mass-radius relation of neutron star with varieties of equations of states. We first obtain equation of states and compare them for different phases of color superconductivity for a giving gap. In order to analyze the effects of different color superconducting phases and rotation frequency on the mass radius relations, the perturbation method of TOV equation is used. Considering the chemical potential dependence of the gap, we did the same analysis about the mass-radius relation. WE find that:different equation of states will give different relations of mass and radius. The greater the rotation frequency, the greater the mass will be under each kind of color superconductivity.The second work of paper is about the latent heat released from the phase transitions in the four kinds of spin one color superconductivity phases:CSL, Polar, Planar, A-phase with a magnetic field. We first obtain the expression of the entropy, and then present numerical results of the entropy and latent heats. The latent heat is bound to affect the neutron star's thermal evolution. We will address this problem in follow-up discussions.Finally, the paper gives a summary and outlook, The Appendix is a summary of Propagator calculation when study the cooling of Neutron star. |
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