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首页> 外文期刊>Physical review, C >Unified equations of state for cold nonaccreting neutron stars with Brussels-Montreal functionals. II. Pasta phases in semiclassical approximation
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Unified equations of state for cold nonaccreting neutron stars with Brussels-Montreal functionals. II. Pasta phases in semiclassical approximation

机译:冷非侵入中子恒星与布鲁塞尔蒙特利尔功能的统一方程。 II。 半定读近似的面食阶段

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We generalize our earlier work on neutron stars, which assumed spherical Wigner-Seitz cells in the inner crust, to admit the possibility of pasta phases, i.e., nonspherical cell shapes. Full fourth-order extended Thomas-Fermi (ETF) calculations using the density functional BSk24 are performed for cylindrical and platelike 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 -> cylinder -> 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 cylinder sphere -> cylinder -> plate. In neither case do any "inverted," i.e., bubblelike, configurations appear. The analytic fitting formulas for the equation of state and composition that we derived in our earlier work, with the assumption of spherical cell shapes for the entire density range from the outer crust to the core of a neutron star, are found to remain essentially unchanged for pasta shapes. Here, however, we provide more 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.
机译:我们概括了我们之前的中子恒星上的工作,该工作是内壳中的球形Wigner-Seitz细胞,以承认面糊阶段的可能性,即非球形细胞形状。使用密度函数BSK24进行全四阶扩展托马斯 - 费米(ETF)计算,用于圆柱形和塑料电池。与我们的球形细胞计算不同,我们不包括壳牌和配对校正,但是有没有用于预期面包的这些校正明显较小。因此,将ETF面食结果与完整的球形细胞结果,即包括壳和配对校正,将ETF面食结果进行比较。然而,鉴于完全省略了壳和配对校正的许多先前研究,将我们的意大利面与相应的球面计算的ETF部分进行比较,将我们的意大利面部分进行比较。进行后一种比较,我们发现,由于密度增加了电池形状通过通常的序列球体 - >圆筒 - >板在过渡到均匀核心之前。在相变的填充部分与基于液滴模型的期望密切一致。另一方面,当我们与全球面的结果进行比较时,我们发现序列是球形圆筒球 - >气缸 - >板。在任何情况下,任何“倒置”,即,BubbleLelike都会出现。我们在我们之前的工作中获得的状态和组合物方程的分析配合公式,假设从外壳到中子星的核心到整个壳体的球形细胞形状,发现基本不变面食形状。然而,在这里,我们为三个阶段中的每一个提供更准确的拟合公式,专门为预期的浓度范围设计的所有三个阶段,这使得不仅能够捕获拟合功能的一般行为但它们在不同阶段之间的差异。

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