基于Gogny能量密度泛函的映射相互作用玻色子模型下锗和硒核的结构演化
Structural evolution in germanium and selenium nuclei within the mapped interacting boson model based on the Gogny energy density functional
摘要：
在相互作用玻色子模型（IBM）中，采用基于Gogny-D1 M能量密度泛函的自洽平均场计算，研究了Ge和Se同位素的形状转变和形状共存.平均场能面作为四极形状变量$β$和$γ$的函数，由约束Hartree-Fock-Bogoliubov方法得到，映射到玻色子凝聚态中具有组态混合的IBM哈密顿量的期望值上.所得到的哈密顿量被用来计算所选原子核$^{66-94}$ Ge和$^{68-96}$ Se的激发能和电磁性质。我们的计算表明，许多核表现出$γ$柔软性。还观察到扁长形和扁圆形之间以及球形和$γ$软形之间的共存。该方法提供了一个合理的描述所观察到的系统的激发能的低的能级和跃迁强度的中子壳层封闭$N=50$以下的核，并提供了预测的富中子的Ge和Se同位素的光谱与$52\leq N\leq 62$，其中数据是稀缺或不可用。
英文摘要：
The shape transitions and shape coexistence in the Ge and Se isotopes are studied within the interacting boson model (IBM) with the microscopic input from the self-consistent mean-field calculation based on the Gogny-D1M energy density functional. The mean-field energy surface as a function of the quadrupole shape variables $β$ and $γ$, obtained from the constrained Hartree-Fock-Bogoliubov method, is mapped onto the expectation value of the IBM Hamiltonian with configuration mixing in the boson condensate state. The resultant Hamiltonian is used to compute excitation energies and electromagnetic properties of the selected nuclei $^{66-94}$Ge and $^{68-96}$Se. Our calculation suggests that many nuclei exhibit $γ$ softness. Coexistence between prolate and oblate, as well as between spherical and $γ$-soft, shapes is also observed. The method provides a reasonable description of the observed systematics of the excitation energy of the low-lying energy levels and transition strengths for nuclei below the neutron shell closure $N=50$, and provides predictions on the spectroscopy of neutron-rich Ge and Se isotopes with $52\leq N\leq 62$, where data are scarce or not available.
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