论文标题

同时描述$β$衰减和中子富含和奇数rh和pd核的低洼结构

Simultaneous description of $β$ decay and low-lying structure of neutron-rich even- and odd-mass Rh and Pd nuclei

论文作者

Nomura, K., Lotina, L., Rodríguez-Guzmán, R., Robledo, L. M.

论文摘要

使用基于核密度功能理论的映射框架和粒子 - 验耦合方案,研究了富含中子和奇数的PD和RH核的低能结构和$β$衰减的性能。使用GOGNY-D1M能量密度函数进行了约束的Hartree-Bogoliubov计算,以获取微观输入,以确定用于描述均匀的核心PD核的相互作用的玻色子大麻。平均场计算还为奇数系统提供了单粒子能量,这些能量用于确定奇数核子系统的粒子 - 玻色子相互作用的必要成分以及Gamow-Teller和Fermi Transition Operators。均匀的PD同位素获得的势能表面以及偶数和奇数质量系统的光谱特性表明,从岩体变形到$γ$ - unstable和几乎具有球形形状的过渡。预测的$β$衰减$ \ log {ft} $值对父母和子核的波函数的细节很敏感,因此可以作为对所采用理论方法的严格测试。

The low-energy structure and $β$ decay properties of neutron-rich even- and odd-mass Pd and Rh nuclei are studied using a mapping framework based on the nuclear density functional theory and the particle-boson coupling scheme. Constrained Hartree-Fock-Bogoliubov calculations using the Gogny-D1M energy density functional are performed to obtain microscopic inputs to determine the interacting-boson Hamiltonian employed to describe the even-even core Pd nuclei. The mean-field calculations also provide single-particle energies for the odd systems, which are used to determine essential ingredients of the particle-boson interactions for the odd-nucleon systems, and of the Gamow-Teller and Fermi transition operators. The potential energy surfaces obtained for even-even Pd isotopes as well as the spectroscopic properties for the even- and odd-mass systems suggest a transition from prolate deformed to $γ$-unstable and to nearly-spherical shapes. The predicted $β$ decay $\log{ft}$ values are shown to be sensitive to the details of the wave functions for the parent and daughter nuclei, and therefore serve as a stringent test of the employed theoretical approach.

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