标题： 对旋转对的转动惯量：序参量与壳结构之间的相互作用 显示英文标题

标题： Moment of inertia for pair rotation: Interplay between order parameter and shell structure

摘要： [背景] 有限核中的成对凝聚会产生一种称为成对旋转的集体运动。 成对旋转的转动惯量（P-MoI）已被用作成对凝聚的指标。 [目的] 我们旨在阐明 P-MoI 的基本特性，特别是其对粒子数和序参量的依赖性。 [方法] 使用单极配对哈密顿量的巴丁-库珀-施里弗（BCS）计算以及不同密度依赖的配对能量密度泛函的斯克里姆密度泛函理论计算来评估 P-MoI。 [结果] 在开放壳核中，发现了 P-MoI 与配对振幅之间的负相关关系，配对振幅是正常相向超导相转变的序参量。 基于 BCS 近似下 P-MoI 的轨道贡献分解分析表明，其轨道依赖性与配对间隙非常相似。 [结论] P-MoI 反映了费米能级附近态密度和配对振幅的影响。 显示英文摘要

摘要： [Background] Pair condensation in finite nuclei generates a collective motion known as pair rotation. The moment of inertia of pair rotation (P-MoI) has been used as an indicator of pair condensation. [Purpose] We aim to elucidate the fundamental properties of the P-MoI, particularly its dependence on the particle number and the order parameter. [Method] The P-MoI was evaluated using the Bardeen-Cooper-Schrieffer (BCS) calculations with a monopole pairing Hamiltonian and Skyrme density functional theory calculations with different density-dependent pairing energy density functionals. [Results] In open-shell nuclei, a negative correlation was found between the P-MoI and the pair amplitude, which is the order parameter for the transition from the normal phase to the superconducting phase. Analysis based on the decomposition of the P-MoI into the orbital contributions within the BCS approximation shows that its orbital dependence is very similar to that of the pairing gap. [Conclusions] The P-MoI reflects the influence of both the level density near the Fermi energy and the pair amplitude.