论文标题
配对差距和带隙对中子星体内皮中超流体密度的影响
Effects of pairing gap and band gap on superfluid density in the inner crust of neutron stars
论文作者
论文摘要
通过不同的方法计算中子恒星内皮中的超流体密度是强烈的分歧，这引起了基于超流体的脉冲星故障的责任性的争论。采用一个简单的统一模型，我们研究了在周期性潜力中对超流体密度近似的依赖性。与Hartree-fock-Bogoliubov（HF-Bogoliubov）理论相比，它处理带隙和配对间隙在相等基础上的效果，我们检查了HF-BCS型近似值，在优先级中纳入了前者，并在优先级中纳入了另一种近似值。我们发现，当配对间隙和带隙与中子星的内皮相当时，就需要在相等的基础上对其进行处理，并且HF-BCS近似也可能大大低估超级流体密度，即使配对隙比Fermi能量小得多。我们的结果表明，HF-BCS近似值用于评估中子星形外壳中超流体密度的有效性值得怀疑。
Calculations of the superfluid density in the inner crust of neutron stars by different approaches are in strong disagreement, which causes a debate on the accountability of pulsar glitches based on superfluidity. Taking a simple unified model, we study the dependence on approximation of the superfluid density in a periodic potential. In comparison with the Hartree-Fock-Bogoliubov (HF-Bogoliubov) theory which treats the effects of the band gap and the pairing gap on equal footing, we examine the HF-BCS-type approximation in which the former is incorporated in priority, and another approximation in which the latter is incorporated in priority. We find that, when the pairing gap and the band gap are comparable as in the inner crust of neutron stars, they need to be treated on equal footing, and the HF-BCS approximation can considerably underestimate the superfluid density even if the pairing gap is much smaller than the Fermi energy. Our result suggests that the validity of the HF-BCS approximation for evaluating the superfluid density in neutron star crusts is questionable.
