Description of odd-mass nuclei within the interacting boson-fermion model based on the Gogny energy density functional

Abstract

Spectroscopic properties of odd-mass nuclei are studied within the framework of the interacting boson-fermion model (IBFM) with parameters based on the Hartree-Fock-Bogoliubov (HFB) approximation. The parametrization D1M of the Gogny energy density functional (EDF) has been used at the mean-field level to obtain the deformation energy surfaces for the considered nuclei in terms of the quadrupole deformations ($\beta ,\gamma$). In addition to the energy surfaces, both single particle energies and occupation probabilities have been used as a microscopic input for building the IBFM Hamiltonian. Only three strength parameters for the particle-boson-core coupling are fitted to experimental spectra. The IBFM Hamiltonian is then used to compute the energy spectra and electromagnetic transition rates for selected odd-mass Eu and Sm nuclei as well as for ${}^{195}$Pt and ${}^{195}$Au. A reasonable agreement with the available experimental data is obtained for the considered odd-mass nuclei.

14 pages, 16 figures, 9 tables

References in corpus (9)

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• Structure of odd-odd Cs isotopes within the interacting boson-fermion-fermion model based on the Gogny-D1M energy density functional
• Prolate-to-oblate shape phase transitions in neutron-rich odd-mass nuclei
• $\beta$-decay rates of ${}^{(115,117)}$Rh into ${}^{(115,117)}$Pd isotopes in the microscopic IBFM-2
• Spectroscopy of odd-odd nuclei within the interacting boson-fermion-fermion model based on the Gogny energy density functional
• Description of neutron-rich odd-mass krypton isotopes within the interacting boson-fermion model based on the Gogny energy density functional
• Multireference covariant density-functional theory for the low-lying states of odd-mass nuclei
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Effects of pairing strength on the nuclear structure and double-$\beta$ decay predictions within the mapped interacting boson model
• Mapped interacting boson model for nuclear structure studies
• Neutrinoless $\beta \beta$ decay in the interacting boson model based on the nuclear energy density functionals