论文标题
带有布鲁塞尔 - 摩纳图功能的冷非式中子星的统一状态方程。 ii。半古典近似中的意大利面相
Unified equations of state for cold non-accreting neutron stars with Brussels-Montreal functionals. II. Pasta phases in semi-classical approximation
论文作者
论文摘要
我们将早期的工作概括为中子恒星（Arxiv：1903.04981），该恒星假设内壳中的球形Wigner-Seitz细胞承认面食相的可能性，即非球形细胞形状。使用密度函数BSK24进行完整的四阶扩展托马斯 - 富尔米计算，用于圆柱形和板状细胞。与我们的球形细胞计算不同，我们不包括外壳和配对校正，但是有理由希望这些校正要使面食要小得多。因此，将ETF面食结果与完整的球形细胞结果（即壳和配对校正）进行比较是有意义的。但是，鉴于以前的许多研究完全省略了壳和配对校正，因此，将我们的面食结果与相应的球形计算的ETF部分进行比较。进行后一个比较，我们发现，随着密度的增加，细胞形状会通过通常的序列球$ \ \ $缸$ \ \ $ \ $ \ $ \ $ \ plate，然后再过渡到均匀的核心。相变处发现的填充部分与基于液体抽水模型的期望密切一致。另一方面，当我们与完整的球形细胞结果进行比较时，我们发现该序列为球体$ \ to $ cADINDER $ \ to $ sphere $ \ to $ cALINDER $ \ to $ \ plate。在两种情况下，都会出现任何“倒置”，即类似气泡的配置。我们为三个阶段中的每个阶段的每个基本数值结果提供了准确的拟合公式，尤其是为期望非球形形状的密度范围而设计的，这不仅可以捕获拟合函数的一般行为，还可以捕获它们之间的差异。
We generalize our earlier work on neutron stars (arXiv:1903.04981), which assumed spherical Wigner-Seitz cells in the inner crust, to admit the possibility of pasta phases, i.e., non-spherical cell shapes. Full fourth-order extended Thomas-Fermi calculations using the density functional BSk24 are performed for cylindrical and plate-like cells. Unlike in our spherical-cell calculations, we do not include shell and pairing corrections, but there are grounds for expecting these corrections for pasta to be significantly smaller. It is therefore meaningful to compare the ETF pasta results with the full spherical-cell results, i.e., with shell and pairing corrections included. However, in view of the many previous studies in which shell and pairing corrections were omitted entirely, it is of interest to compare our pasta results with the ETF part of the corresponding spherical calculations. Making this latter comparison we find that as the density increases the cell shapes pass through the usual sequence sphere $\to$ cylinder $\to$ plate before the transition to the homogeneous core. The filling fractions found at the phase transitions are in close agreement with expectations based on the liquid-drop model. On the other hand, when we compare with the full spherical-cell results, we find the sequence to be sphere $\to$ cylinder $\to$ sphere $\to$ cylinder $\to$ plate. In neither case do any "inverted", i.e., bubble-like, configurations appear. We provide accurate fitting formulas to all our essential numerical results for each of the three phases, designed especially for the density range where the nonspherical shapes are expected, which enable one to capture not only the general behavior of the fitted functions, but also the differences between them in different phases.
