论文标题

统一的核物质EOSS受密度依赖性协变量功能的中等水平约束

Unified nuclear matter EOSs constrained by the in-medium balance in density-dependent covariant density functionals

论文作者

Xia, Cheng-Jun, Sun, Bao Yuan, Maruyama, Toshiki, Long, Wen-Hui, Li, Ang

论文摘要

考虑到电荷筛选的效果,我们在托马斯 - 富尔米近似框架内提出了一种新的数值配方,在托马斯 - 费尔米近似中,核物质的性质可以自吻合获得。假设观察到典型的核物质结构(液滴,杆,板,管,气泡和均匀)的典型核物质结构(典型的核物质结构)。然后,我们研究了核物质的EOSS和显微镜结构,均具有固定的质子级分和$β$平衡,其中采用了两个协变量函数DD-LZ1和DD-ME2。 Despite the smaller slope $L$ of symmetry energy obtained with the functional DD-LZ1, the curvature parameter $K_\mathrm{sym}$ is much larger than that of DD-ME2, which is attributed to the peculiar density-dependent behavior of meson-nucleon couplings guided by the restoration of pseudo-spin symmetry around the Fermi levels in finite nuclei.因此,两个功能预测了中子星的不同质量 - 拉迪乌斯关系。还获得了非均匀核物质的不同显微镜结构,这些结构预计会影响中子星特性和进化中的各种物理过程。

Considering the effects of charge screening, we propose a new numerical recipe within the framework of Thomas-Fermi approximation, where the properties of nuclear matter throughout a vast density range can be obtained self-consistently. Assuming spherical and cylindrical approximations for the Wigner-Seitz cell, typical nuclear matter structures (droplet, rod, slab, tube, bubble, and uniform) are observed. We then investigate the EOSs and microscopic structures of nuclear matter with both fixed proton fractions and $β$-equilibration, where two covariant density functionals DD-LZ1 and DD-ME2 are adopted. Despite the smaller slope $L$ of symmetry energy obtained with the functional DD-LZ1, the curvature parameter $K_\mathrm{sym}$ is much larger than that of DD-ME2, which is attributed to the peculiar density-dependent behavior of meson-nucleon couplings guided by the restoration of pseudo-spin symmetry around the Fermi levels in finite nuclei. Consequently, different mass-radius relations of neutron stars are predicted by the two functionals. Different microscopic structures of nonuniform nuclear matter are obtained as well, which are expected to affect various physical processes in neutron star properties and evolutions.

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