核费米液体中配对不稳定性的重整化群分析
Renormalization Group Analysis of Pairing Instabilities in Nuclear Fermi Liquids
浏览论文内容
中文总结 AI 辅助
该研究通过费米面重整化群分析，在最简S/P波模型中阐明核费米液体不同通道配对不稳定性的竞争机制，发现费米面几何、组分及同位旋不对称性会改变配对不稳定性的排序。
中文摘要 AI 辅助
核费米液体在不同自旋、同位旋和轨道通道中表现出相互竞争的配对不稳定性。在费米面重整化群（RG）处理中，最先出现极点的通道不仅由其树图水平的吸引作用决定，还由其单圈RG系数决定。我们在一个最简S/P波模型中阐明这一机制：球形费米面确立了最低宇称偶和奇宇称相互作用之间的参考竞争；轴向形变改变了相关的费米面积分，解除了P波分量纵向与横向之间的简并；在同位旋不对称物质中，中子-质子费米动量分裂限制了两种粒子的同时低能贡献，可在有限阈值标度下终止np的跑动。我们的计算旨在作为可控的单圈RG示例，而非定量核物质计算，展示了费米面几何与组分如何改变竞争配对不稳定性的排序。
英文摘要
A nuclear Fermi liquid exhibits competing pairing instabilities in different spin, isospin, and orbital channels. In a Fermi-surface renormalization group (RG) treatment, the channel that develops a pole first is determined not only by its tree-level attraction but also by its one-loop RG coefficient. We illustrate this mechanism in a minimal $S/P$-wave model. A spherical Fermi surface establishes the reference competition between the lowest even- and odd-parity interactions. Axial deformation changes the relevant Fermi-surface integrals and lifts the degeneracy between longitudinal and transverse $P$-wave components. In isospin-asymmetric matter, neutron--proton Fermi-momentum splitting restricts the simultaneous low-energy contribution of the two species and can terminate the $np$ running at finite threshold scales. Our calculations are intended as controlled one-loop RG illustrations rather than as quantitative nuclear-matter calculations. We show how the Fermi-surface geometry and composition can change the ordering of competing pairing instabilities.
