发表机构
Istituto Leonardo da Vinci（列奥纳多·达·芬奇学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究计算中子星壳在非轴对称加载下的弹性响应，发现马格努斯山尺度对剪切微物理鲁棒，深壳层压缩响应是单位移模型的主要不确定来源。
AI 中文摘要
被钉扎的超流体涡旋会将马格努斯力传递给中子星壳层，因此超流体-晶格滞后的非轴对称分量可支撑持续的质量四极矩。我们采用SLy4和BSk21背景，结合局域微观钉扎帽与密度依赖的库仑晶格剪切模量，计算自引力、径向分层的球形恒星的l=m=2响应。对于1.4倍太阳质量、自转频率100Hz的恒星，平衡压缩最大值在SLy4模型下为ε=2.67×10^-9，在BSk21模型下为2.44×10^-9。全局四极矩对剪切方案的敏感度极低：将μ=0.01P替换为库仑分布，或大幅改变不确定的边缘层，仅使结果产生百分级变化。主要的内部敏感度来自压缩性：密度分辨的压缩核穿过内壳层时增大，在壳-核界面附近变陡，BSk21模型尤为明显，表明深内壳层决定了马格努斯山对物态方程（EoS）的依赖。固定成分计算仅作为非弛豫敏感度诊断，而非长期演化预测。在共同的真实局域速度基准下，我们的基准椭圆率比Gangwar & Jones（2026）的互补双组分圆柱计算结果低一个数量级以上。我们认为，这种对比表明，超流体-晶格自由度的相对变化是构建统一球形模型的自然下一个要素。因此，主要结果是物理性而非数值性的：马格努斯山的尺度对剪切微物理具有鲁棒性，而深壳层的压缩响应是单位移模型的主要不确定来源。
英文摘要
Pinned superfluid vortices transmit a Magnus force to the neutron-star crust. A non-axisymmetric component of the superfluid-lattice lag can therefore support a persistent mass quadrupole. We calculate the l=m=2 response of self-gravitating, radially stratified spherical stars with SLy4 and BSk21 backgrounds, using a local microscopic pinning cap and a density-dependent Coulomb-lattice shear modulus. For a 1.4 M_sun star at 100 Hz, the equilibrium-compression maxima are epsilon=2.67x10^-9 (SLy4) and 2.44x10^-9 (BSk21). The global quadrupole is strikingly insensitive to the shear prescription: replacing mu=0.01P by the Coulomb profile and strongly varying uncertain edge layers changes the result only at the percent level. The dominant internal sensitivity is instead compressional. A density-resolved compressional kernel increases through the inner crust and steepens close to the crust-core interface, particularly for BSk21, showing that the deep inner crust controls the EoS dependence of the mountain. A fixed-composition calculation is used only as a non-relaxed sensitivity diagnostic, not as the secular prediction. At a common true local velocity benchmark, our fiducial ellipticities remain more than an order of magnitude below the complementary two-component cylindrical calculation of Gangwar & Jones (2026). We argue that the comparison points to the relative superfluid-lattice degree of freedom as the natural next ingredient for a common spherical model. The main result is therefore physical rather than numerical: the Magnus-mountain scale is robust to shear microphysics, while the deep-crust compressional response sets the leading uncertainty of the one-displacement model.
Comments7 pages, 3 figures
