标题： 中子星内壳层涡旋钉扎能量的微观计算 显示英文标题

标题： Microscopic calculation of the pinning energy of a vortex in the inner crust of a neutron star

摘要： 脉冲星内核中涡旋的结构在 Wigner-Seitz 细胞近似下被微观计算，模拟了冷且非吸积的中子星内核的条件，在其中原子核晶格与超流体中子海共存。 该计算基于轴向变形的 Hartree-Fock-Bogolyubov 框架，并使用有效相互作用。 本研究通过四种方式扩展和改进了先前的研究：i) 它允许由于中子因涡旋出现而产生的大变形诱导质子的轴向变形；ii) 包括库仑交换效应；iii) 考虑配对相互作用屏蔽效应的可能影响；iv) 改进了数值处理方法。 我们还证明了原子核-涡旋系统的结合能可以作为涡旋钉扎能的代理，并讨论了在哪些条件下成立。 从我们的结果中，我们可以估算作用于涡旋上的单位长度的介观钉扎力。 我们得到的值在$10^{14}$到$10^{16}$dyn/cm 之间，与先前的结果一致。 显示英文摘要

摘要： The structure of a vortex in the inner crust of a pulsar is calculated microscopically in the Wigner-Seitz cell approximation, simulating the conditions of the inner crust of a cold, non-accreting neutron star, in which a lattice of nuclei coexists with a sea of superfluid neutrons. The calculation is based on the axially deformed Hartree-Fock-Bogolyubov framework, using effective interactions. The present work extends and improves previous studies in four ways: i) it allows for the axial deformation of protons induced by the large deformation of neutrons due to the appearance of vortices; ii) it includes the effect of Coulomb exchange; iii) considers the possible effects of the screening of the pairing interaction; and iv) it improves the numerical treatment. We also demonstrate that the binding energy of the nucleus-vortex system can be used as a proxy to the pinning energy of a vortex and discuss in which conditions this applies. From our results, we can estimate the mesoscopic pinning forces per unit length acting on vortices. We obtain values ranging between $10^{14}$ to $10^{16}$ dyn/cm, consistent with previous findings.