Microscopic formulation of the interacting boson-fermion model using the nuclear energy density functional

Abstract

Microscopic modeling of low-energy spectroscopy in medium-heavy and heavy odd-$A$ nuclei is an outstanding open problem in nuclear physics. We propose a novel spectra-generating collective model for odd-$A$ nuclei constructed by means of the nuclear energy density functional theory and the interacting boson-fermion model. The bosonic Hamiltonian for an even-even nucleus, which is treated as a core, and the strength parameters for the interactions between the core and an odd nucleon are completely determined by using as microscopic inputs the potential energy curves and deformed single-particle spectra obtained from the self-consistent mean-field calculations. In applications to odd-$A$ Eu, Sm, La, and Ba isotopes, we demonstrate the validity of the proposed method in reproducing reasonably the observed low-energy spectra and shape phase transitions in the general cases of the quadrupole collective states, that is, nearly spherical, strongly deformed, and $\gamma$-soft shapes, in the presence of an odd nucleon in a single-$j$ orbit.

17 pages, 13 figures, 4 tables

References in corpus (23)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Microscopic Description of Spherical to Gamma-Soft Shape Transitions in Ba and Xe Nuclei
• Microscopic Formulation of Interacting Boson Model for Rotational Nuclei
• Robust Regularity in γ-Soft Nuclei and its Microscopic Realization
• Effect of a fermion on quantum phase transitions in bosonic systems
• Quantum phase transitions in Bose-Fermi systems
• Beyond mean-field boson-fermion model for odd-mass nuclei
• Axially-deformed solution of the Skyrme-Hartree-Fock-Bogoliubov equations using the transformed harmonic oscillator basis (IV) hfbtho (v4.0): A new version of the program
• Zr Isotopes as a region of intertwined quantum phase transitions
• Shape-phase transitions in odd-mass $\gamma$-soft nuclei with mass $A\approx 130$
• Signatures of shape phase transitions in odd-mass nuclei
• Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Evolution of E2 transition strength in deformed hafnium isotopes from new measurements on ${}^{172}$Hf, ${}^{174}$Hf, and ${}^{176}$Hf
• $\beta$-decay rates of ${}^{(115,117)}$Rh into ${}^{(115,117)}$Pd isotopes in the microscopic IBFM-2
• Low-energy structure and $\beta$ decay properties of neutron-rich nuclei in the region of a shape phase transition
• Multireference covariant density-functional theory for the low-lying states of odd-mass nuclei
• Mapped interacting boson model for nuclear structure studies
• Geometry of Configuration Mixing in Bose-Fermi Systems
• Sensitivity analysis of $\beta$-decay half-life predictions for Ge, As, Zr and Mo nuclei within the mapped interacting boson model
• Benchmarking rotational correction energies in odd-mass nuclei
• Microscopic determination of the interacting boson-fermion model Hamiltonian from the nuclear energy density functional