Abstarct: In this thesis, we examine the features of neutron star. These stars are a test for better understanding quantum color theory. When the temperature decrease and chemical potential starts increasing, the phase diagram of color quantum theory will face a new transition Which have not yet been discovered experimentally. On the other hand, it is not an easy task to study them theoretically, and needs new methods. The neutron star, meanwhile, is showing new data that can test the validity of theories. In particular, precision laboratory instruments have been developed to measure gravity waves, that can accurately report the deformation of dual neutron stars orbiting each other. In this study, we review the new terms in the articles and examine their effect on neutron star state equation. The neutron star state equation is necessary to describe the mass and radius properties of a neutron star. Therefore, it is very important to know what the gravitational wave conditions are and the mass of the neutron star should be in which within the range.