核面食结构和对称能

C. Xia, T. Maruyama, N. Yasutake, T. Tatsumi, Y. Zhang
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引用次数: 5

摘要

在具有Thomas-Fermi近似的相对论平均场模型的框架下,研究了具有反射对称的低密度核物质的三维几何结构。利用快速余弦变换扩展平均场,只考虑单元格的一个八象限,提高了数值计算的精度和效率。通过寻找最佳单元尺寸,仔细处理有限单元尺寸的影响。典型的面食结构(液滴、棒状、板状、管状和泡状)排列在各种晶体构型中,用于固定质子分数和$\beta$ -平衡。研究发现,体心立方(BCC)和面心立方(FCC)晶格中液滴/气泡的性质相似,随着密度的增加,FCC晶格通常比BCC晶格更稳定。对于棒/管相,蜂窝晶格总是比简单晶格更稳定。通过引入$\omega$ - $\rho$交叉耦合项,我们进一步研究了具有较小对称能斜率$L = 41.34$ MeV的面食结构,这预示着核壳转变和非球形核的较大起始密度。这种由于$L$减小而引起的变化预计会对中子星、超新星动力学和双中子星合并的各种特性产生影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nuclear pasta structures and symmetry energy
In the framework of the relativistic mean field model with Thomas-Fermi approximation, we study the structures of low density nuclear matter in a three-dimensional geometry with reflection symmetry. The numerical accuracy and efficiency are improved by expanding the mean fields according to fast cosine transformation and considering only one octant of the unit cell. The effect of finite cell size is treated carefully by searching for the optimum cell size. Typical pasta structures (droplet, rod, slab, tube, and bubble) arranged in various crystalline configurations are obtained for both fixed proton fractions and $\beta$-equilibration. It is found that the properties of droplets/bubbles are similar in body-centered cubic (BCC) and face-centered cubic (FCC) lattices, where the FCC lattice generally becomes more stable than BCC lattice as density increases. For the rod/tube phases, the honeycomb lattice is always more stable than the simple one. By introducing an $\omega$-$\rho$ cross coupling term, we further examine the pasta structures with a smaller slope of symmetry energy $L = 41.34$ MeV, which predicts larger onset densities for core-crust transition and non-spherical nuclei. Such a variation due to the reduction of $L$ is expected to have impacts on various properties in neutron stars, supernova dynamics, and binary neutron star mergers.
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