有限温度对超强磁场中致密中子物质各向异性压力和物态方程的影响
Finite temperature effects on anisotropic pressure and equation of state of dense neutron matter in an ultrastrong magnetic field
摘要：
考虑了在磁场$H$ ~ $10^{20}$ G范围内，在有限温度下，具有最近发展的Skyrme有效相互作用（BSk 20参数化）的致密中子物质的自旋极化态.在强磁场中，中子物质中的总压是各向异性的，并且在$H>H_{th}\sim10^{18}$ G处，平行于场方向和垂直于场方向的压力之间的差异变得显著。纵向压力随磁场的增加而减小，在临界场$10^{18}<H_c\lesssim10^{19}$ G处消失，导致中子物质的纵向不稳定性。随着温度的升高，阈值$H_{th}$和临界$H_c$磁场也增大。纵向不稳定性的出现阻止了中子物质中完全自旋极化态的形成，并且只有具有中等自旋极化的态是可访问的。在密度和温度相关的磁星内部的各向异性状态方程的确定。强磁化中子物质的熵比非极化物质的熵大。这是由于在极化状态下，熵对自旋向上和自旋向下的中子的有效质量的依赖关系中的一些具体细节造成的。
英文摘要：
Spin polarized states in dense neutron matter with recently developed Skyrme effective interaction (BSk20 parametrization) are considered in the magnetic fields $H$ up to $10^{20}$ G at finite temperature. In a strong magnetic field, the total pressure in neutron matter is anisotropic, and the difference between the pressures parallel and perpendicular to the field direction becomes significant at $H>H_{th}\sim10^{18}$ G. The longitudinal pressure decreases with the magnetic field and vanishes in the critical field $10^{18}<H_c\lesssim10^{19}$ G, resulting in the longitudinal instability of neutron matter. With increasing the temperature, the threshold $H_{th}$ and critical $H_c$ magnetic fields also increase. The appearance of the longitudinal instability prevents the formation of a fully spin polarized state in neutron matter and only the states with moderate spin polarization are accessible. The anisotropic equation of state is determined at densities and temperatures relevant for the interiors of magnetars. The entropy of strongly magnetized neutron matter turns out to be larger than the entropy of the nonpolarized matter. This is caused by some specific details in the dependence of the entropy on the effective masses of neutrons with spin up and spin down in a polarized state.
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