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arXiv 1002.3705nucl-thastro-ph.HEcond-mat.supr-con
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类比各向异性多带BCS超导体的中子星壳中子超流性的统一描述

Unified description of neutron superfluidity in the neutron-star crust with analogy to anisotropic multi-band BCS superconductors

N. Chamel, S. Goriely, J. M. Pearson, M. Onsi

摘要:

传统上研究中子星内壳的中子超流性时,考虑的是均匀的中子物质或球形Wigner-Seitz盒中的少量核子。与最近发现的多带超导体相类比,我们求解了各向异性多带BCS带隙方程和Bloch边界条件,从而提供了一个统一的描述,同时考虑到自由中子和核团簇。我们用Hartree-Fock-Bogoliubov核质量模型HFB-16的有效相互作用进行了计算。我们已经发现,即使存在的不均匀性降低了中子配对间隙,减少是远远低于以前的计算预测使用维格纳-塞茨近似。我们研究了超流性随温度升高而消失的现象。作为应用,我们计算了中子比热,这是模拟新生中子星热演化的重要组成部分。这一工作为中子星壳中超流性的实际计算提供了一个新的方案。

英文摘要:

The neutron superfluidity in the inner crust of a neutron star has been traditionally studied considering either homogeneous neutron matter or only a small number of nucleons confined inside the spherical Wigner-Seitz cell. Drawing analogies with the recently discovered multi-band superconductors, we have solved the anisotropic multi-band BCS gap equations with Bloch boundary conditions, thus providing a unified description taking consistently into account both the free neutrons and the nuclear clusters. Calculations have been carried out using the effective interaction underlying our recent Hartree-Fock-Bogoliubov nuclear mass model HFB-16. We have found that even though the presence of inhomogeneities lowers the neutron pairing gaps, the reduction is much less than that predicted by previous calculations using the Wigner-Seitz approximation. We have studied the disappearance of superfluidity with increasing temperature. As an application we have calculated the neutron specific heat, which is an important ingredient for modeling the thermal evolution of newly-born neutron stars. This work provides a new scheme for realistic calculations of superfluidity in neutron-star crusts.

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