自洽超越平均场方法中球轨道的占有数
Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods
摘要：
提出了一种在能量密度泛函（EDF）框架内计算球形单粒子（SSP）能级的粒子数的方法。这些SSP水平被定义为每个核通过执行自洽平均场计算。采用基于Gogny EDF的对称性守恒组态混合（SCCM）方法，计算了原子核多体态的占据数。该方法允许EDF和壳模型之间的更密切的比较与配置混合在大的价空间（SM-CI）的结果，并可以作为一个指导，以定义物理上健全的价空间SM-CI计算。作为该方法的第一个应用程序，我们分析了在中子丰富的$N=40$同位素和SSP水平的作用，围绕这个谐振子幻数的变形的发病，特别强调在$^{64}$ Cr的结构。
英文摘要：
We present a method to compute the number of particles occupying spherical single-particle (SSP) levels within the energy density functional (EDF) framework. These SSP levels are defined for each nucleus by performing self-consistent mean-field calculations. The nuclear many-body states, in which the occupation numbers are evaluated, are obtained with a symmetry conserving configuration mixing (SCCM) method based on the Gogny EDF. The method allows a closer comparison between EDF and shell model with configuration mixing in large valence spaces (SM-CI) results, and can serve as a guidance to define physically sound valence spaces for SM-CI calculations. As a first application of the method, we analyze the onset of deformation in neutron-rich $N=40$ isotones and the role of the SSP levels around this harmonic oscillator magic number, with particular emphasis in the structure of $^{64}$Cr.
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