完全自洽粒子-振动耦合方法中单粒子态的性质
Properties of single-particle states in a fully self-consistent particle-vibration coupling approach
摘要：
在Skyrme能量密度泛函理论框架下，采用完全自洽的粒子振动耦合（PVC）方法，研究了幻核$^{40}$ Ca和$^{208}$ Pb的单粒子态性质，特别是能量、光谱因子和有效质量.所有选定的声子都是通过随机相位近似获得的，并且在PVC顶点中也使用相同的Skyrme相互作用。我们着重研究了非中心两体自旋轨道相互作用和张量相互作用对单粒子性质的影响。结果表明，这些项的贡献对改进$^{208}$ Pb的计算结果是重要的.计算的单粒子能量和光谱因子进行比较，可用的实验数据。由于PVC的作用，费米面附近的单粒子能级密度显著增加。
英文摘要：
The properties of single-particle states in the magic nuclei $^{40}$Ca and $^{208}$Pb, in particular the energies, spectroscopic factors and the effective mass, have been studied in a fully self-consistent particle-vibration coupling (PVC) approach within the framework of Skyrme energy density functional theory. All selected phonons are obtained by the Random Phase Approximation and the same Skyrme interaction is also used in the PVC vertex. We focus on the effect of the non-central two-body spin-orbit and tensor interactions on the single-particle properties. It has been found that the contributions of those terms are important to improve the results of $^{208}$Pb. The calculated single-particle energies and spectroscopic factors are compared to available experimental data. The single-particle level density around the Fermi surface is significantly increased due to the effect of PVC.
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