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

Abstract

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 $\log ft$ 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.

19 pages, 15 figures, 6 tables

References in corpus (17)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements, QRPA, and isospin symmetry restoration
• Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review
• Structural evolution in $A\approx 100$ nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Spectroscopy of quadrupole and octupole states in rare-earth nuclei from a Gogny force
• Beta-decay properties of neutron-rich Ge, Se, Kr, Sr, Ru, and Pd isotopes from deformed quasiparticle random-phase approximation
• Shape coexistence in Lead isotopes in the interacting boson model with Gogny energy density functional
• Effects of deformation on the beta-decay patterns of light even-even and odd-mass Hg and Pt isotopes
• Second-forbidden nonunique ${\beta }^{-}$ decays of ${}^{24}$Na and ${}^{36}$Cl assessed by the nuclear shell model
• Evolution of octupole deformation and collectivity in neutron-rich lanthanides
• Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Quadrupole-octupole coupling and the onset of octupole deformation in actinides
• Microscopic description of quadrupole-octupole coupling in neutron-rich actinides and superheavy nuclei with the Gogny-D1M energy density functional
• $\beta$ decay of odd-A nuclei with the interacting boson-fermion model based on the Gogny energy density functional
• Lifetime Measurements in the Even-Even ${}^{102-108}$Cd Isotopes
• Quadrupole-octupole coupling and the evolution of collectivity in neutron-deficient Xe, Ba, Ce, and Nd isotopes
• $\beta$-decay rates of ${}^{(115,117)}$Rh into ${}^{(115,117)}$Pd isotopes in the microscopic IBFM-2

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