The Correlation Between Neutron-Star Observables And Equation Of State Of Dense Matter

Neutron stars(NSs)are one of the most compact stars in the universe.It is an effective laboratory for studying the supra-density nuclear matter.Because the radius of neutron star is only about 10 km and there is a very long distance between neutron star and earth,it is very difficult to accurately observe the property parameters of neutron star.Fortunately,as the increases of observation sensitivity,this insufficiency will gradually be alleviated.The observation of binary neutron star merger gravitational waves has started a new era for neutron star research.According to the latest predictions of LIGO(Laser Gravitational Wave Observatory),it is possible to observe up to 62 binary neutron star merger events in about one year from 2022 to 2023.In fact,isolated neutron star can also release gravitational waves through quasi-normal mode.The gravitational waves generated by neutron stars quasi-normal mode are one of the important candidate detection targets for the next generation of gravitational wave detectors.In this thesis,the Bayesian analysis method is used to investigate the constraints on the isospin-dependent parametric equation of state(EOS)parameters(symmetry energy slope L,symmetry energy curvature Ksym,etc.)and symmetry energy from the neutron star quasi-normal mode(f-mode).Before performing the Bayesian analyses,equation of states are screened by the observational constraints of maximum mass of neutron star and tidal deformability by the GW 170817 detection,as well as the causality condition.We find that the f-mode frequency can be used to constrain the parameters J0 and Ksym to a narrow range.It also can be used to constrain the upper limit of L and the lower limit of Jsym.Additionally,the symmetry energy at twice the saturation density(Esym(2?sat))of nuclear matter can be constrained within a relatively narrow range.For example,the Esym(2?sat)will be constrained within 48.8-5.5+6.6 MeV if the fmode frequency of a canonical neutron star(1.4M?)is observed with a value of 1.720kHz at 1%relative error.This thesis also analyzes the influence of different inner crust EOS to the constraint results.From this analysis,it is found that for different inner crust EOS the constrained range of Esym(2?sat)changes less than 1%.We also analyze the correlations between different density segment of EOS and the NS radius,tidal deformability,f-mode frequency and moment of inertial.Then we further confirm the correlation between 1.5?sat?2?sat EOS and the NS radius.The correlations between tidal deformability,f-mode frequency,and moment of inertia with the EOS of each density segment are also obtained.