论文标题

从奇怪的奇异到中子物质的配对差距

From odd-even staggering to the pairing gap in neutron matter

论文作者

Palkanoglou, Georgios, Diakonos, Fotis K., Gezerlis, Alexandros

论文摘要

中子物质的特性是对中子星的正确描述以及富含中子核的描述。中子物质的一个关键特性是它在与中子星的内皮相关的一系列密度中的超流行行为。这项工作研究了在冷中子恒星的内皮中发现的纯中子物质超级流体系统的配对间隙中的有限尺寸效果。 BCS(Bardeen-Cooper-Schrieffer)对超流体的处理产生了平均场合配对间隙,而变化后的投影(PBCS理论)可以通过奇特的差异分流公式提供超越均值的场合配对隙。尽管这两个配对差距结果应在热力学极限上一致,但在这项工作中,我们证明了远离热力学极限的系统就是这种情况。这是迈向中子物质配对间隙的模型独立提取的第一步。

The properties of neutron matter are integral to the correct description of neutron stars as well as the description of neutron-rich nuclei. One key property of neutron matter is its superfluid behaviour in a range of densities relevant to the inner crust of neutron stars. This work investigates the finite-size effects in the pairing gap of a pure neutron matter superfluid system at densities found in the inner crust of cold neutron stars. The BCS (Bardeen-Cooper-Schrieffer) treatment of superfluidity gives rise to the mean-field pairing gap while a projection after variation (PBCS Theory) can provide a beyond-mean-field pairing gap through an odd-even staggering formula. While these two pairing gap results should agree in the thermodynamic limit, in this work we demonstrate that this is the case for systems far from the thermodynamic limit as well. This is a first step towards a model-independent extraction of the pairing gap in neutron matter.

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