论文标题
中子恒星物质中的质子分数:动态平均场方法
Proton fraction in neutron star matter: Dynamical mean-field approach
论文作者
论文摘要
动态平均场理论(DMFT)用于研究中子物质,无论有没有质子分数的混合。该系统由晶格Habbard模型近似。研究了状态的相应方程与温度/密度/不对称的函数。将结果与标准平均场(MF)方法进行比较,在该方法中忽略了局部相关的效果。尽管发现相关性对纯中子物质特性的影响是中等的,但考虑到质子混合的考虑,它会变得强大。特别是,我们考虑了β平衡条件,计算了中子恒星外核的质子分数,能量密度和压力。 DMFT预测质子的分数是基于MF的计算的几倍,而DMFT的能量密度和压力结果比相应的MF估计值低30-40 \%。讨论了我们对中子星动态的发现的物理意义。
Dynamical mean field theory (DMFT) is used to study neutron matter, both with and without admixture of the proton fraction. The system is approximated by the lattice Habbard model. The corresponding equation of state as a function of temperature/density/asymmetry is investigated. The results are compared with the standard mean field (MF) approach where the effect of local correlations is neglected. Whereas the influence of the correlations on the properties of a pure neutron matter is found to be moderate, it becomes strong when the proton admixture is taken into account. In particular, we calculate the proton fraction, energy density and pressure in outer core of neutron stars, taking into account the beta equilibrium condition. The DMFT predicts that the proton fraction is several times the MF based calculations, whereas the DMFT results for energy density and pressure are 30-40\% lower then the corresponding MF estimates. Physical implications of our findings for a neutron star dynamics are discussed.