利用非对称核物质状态方程对中子星的质量和半径的研究

在温度、密度及同位旋相关的核物质状态方程的基础上,通过求解Tol-man-Oppenheimer?Volkoff方程得到了中子星的质量与中心密度的关系,发现随着中心密度的变化,中子星存在一个最大质量.同时计算结果表明,中子星的最大质量与核物质状态方程的不可压缩系数、有效质量及对称能强度系数等密切相关.对中子星半径的研究表明,较硬的核物质状态方程给出的中子星半径较大,而且较大的对称能强度系数和较大的核子有效质量也会给出较大的中子星半径.

Study on Mass and Radius of Neutron Star Using Asymmetry Equation of State of Nuclear Matter

By resolving Tolman Oppenheimer Volkoff equation based on a temperature, density, and isospin dependent nuclear equation of state of nuclear matter, we obtained the mass of neutron star as a function of central density, and the radius of neutron star was also investigated. It is found that both the maximum mass and the radius of neutron star strongly depend on the incompressibility, symmetry energy strength coefficient, and effective mass of nucleon. With the increment of the incompressibility and symmetry energy strength coefficient and the decrement of the nucleon effective mass, the maximum mass of nentron star increases. Meanwhile, the nuclear equation of state with large incompressibility, symmetry energy strength coefficient and nucleon effective mass results in relatively large neutron radius. These results imply that one can get some information about the nuclear equation of state by investigating the macroscopical variables of neutron stars such as mass and radius etc. The relationship of the mass and radius of neutron star is also investigated.