论文标题
中子恒星内皮中成对相关的接近效应
Proximity effect of pair correlation in the inner crust of neutron stars
论文作者
论文摘要
我们通过在坐标空间中配制的Skyrme-Hartree-fock-Bogoliubov理论研究中子恒星内皮中的成对相关性的接近性效应。我们描述了一个由浸入中子超流体中的核聚类组成的系统，该系统限制在球形盒中。使用密度依赖性的有效配对相互作用，该相互作用再现了在从头算计算中获得的中子物质的配对间隙和有限核的配对间隙，我们分析了对中子超氟中心中的配对凝结物如何受核簇的存在。发现接近效应的特征是从核簇的边缘位置测得的中子超流体的相干长度。该计算预测接近效应的密度依赖性很强。在内壳的中间层中，巴里昂密度$ 5 \ times 10^{ - 4} $ fm $^{ - 3} <ρ_b<2 \ 2 \ times 10^{ - 2} $ fm $^{ - 3} $，接近效应在核心群体中的附近效应非常有限。相反，预计接近度效果将扩展到内皮的浅层层的整个体积，并带有$ρ_b<2 \ 2 \ 2 \ times 10^{ - 4} $ fm $^{ - 3} $，并在深层层中，并在带有$ρ_B> 5 \ times 10^times 10^^$ fm $ plays $ fm^{ - 2} $ fm $ fm $ fm $ fm中
We study proximity effect of pair correlation in the inner crust of neutron stars by means of the Skyrme-Hartree-Fock-Bogoliubov theory formulated in the coordinate space. We describe a system composed of a nuclear cluster immersed in neutron superfluid, which is confined in a spherical box. Using a density-dependent effective pairing interaction which reproduces both the pair gap of neutron matter obtained in ab initio calculations and that of finite nuclei, we analyze how the pair condensate in neutron superfluid is affected by the presence of the nuclear cluster. It is found that the proximity effect is characterized by the coherence length of neutron superfluid measured from the edge position of the nuclear cluster. The calculation predicts that the proximity effect has a strong density dependence. In the middle layers of the inner crust with baryon density $5 \times 10^{-4}$ fm$^{-3} < ρ_b < 2\times 10^{-2}$ fm$^{-3}$, the proximity effect is well limited in the vicinity of the nuclear cluster, i.e. in a sufficiently smaller area than the Wigner-Seitz cell. On the contrary, the proximity effect is predicted to extend to the whole volume of the Wigner-Seitz cell in shallow layers of the inner crust with $ρ_b < 2 \times 10^{-4}$ fm$^{-3}$, and in deep layers with $ρ_b > 5 \times 10^{-2}$ fm$^{-3}$.
