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

机译:从奇数甚至惊人地到中子物质的配对间隙

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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 behavior 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. These results can prove valuable to the study of neutron matter since they can connect ab initio approaches to other approaches found in the literature. This is a first step towards a model-independent extraction of the pairing gap in neutron matter.
机译:中子物质的性质对于中子星的正确描述以及富中子核的描述是不可或缺的。中子物质的一个关键特性是它在与中子星内地壳相关的密度范围内的超流体行为。本文研究了在冷中子星的内地壳中发现的密度下,纯中子物质超流体系统配对间隙中的有限尺寸效应。超流体的BCS(Bardeen-Cooper-Schrieffer)处理产生了平均场配对间隙,而变异后投影(PBCS理论)可以通过奇偶交错公式提供超平均场配对间隙。虽然这两个配对间隙的结果在热力学极限下应该是一致的,但在这项工作中,我们证明了远离热力学极限的系统也是如此。这些结果对中子物质的研究很有价值,因为它们可以将从头算方法与文献中发现的其他方法联系起来。这是对中子物质中的配对能隙进行模型独立提取的第一步。

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