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

Abstract

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 f t 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.

Nuclear shape evolution in even-even Pd isotopic chain

“…The results obtained in this study are in good agreement with the outcomes depicted in figure 3 of [10]. However, there are small discrepancies with the results presented in figure 2 of [34], which were obtained using the interacting boson model (IBM) and constrained Hartree-Fock-Bogoliubov (HFB) calculations with the Gogny-D1M energy density functional. Those results indicate a transition from prolate deformed shapes in 104−108 Pd to γ-soft shapes in 110−116 Pd, and to nearly spherical shapes in 118−124 Pd.…”