The low-energy structure and $\beta$-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 $\gamma$-unstable and to nearly spherical shapes. The predicted $\beta$-decay $logft$ 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.

• Received 6 September 2022
• Accepted 29 November 2022

DOI:https://doi.org/10.1103/PhysRevC.106.064304