Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional

Abstract

The interacting boson-fermion model (IBFM), with parameters determined from the microscopic Hartree-Fock-Bogoliubov (HFB) approximation, based on the parametrization D1M of the Gogny energy density functional (EDF), is employed to study the structural evolution in odd-mass $\gamma$-soft nuclei. The deformation energy surfaces of even-even nuclei, single-particle energies and occupation probabilities of the corresponding odd-mass systems have been obtained within the constrained HFB approach. Those building blocks are then used as a microscopic input to build the IBFM Hamiltonian. The coupling constants of the boson-fermion interaction terms are taken as free parameters, fitted to reproduce experimental low-lying spectra. The diagonalization of the IBFM Hamiltonian provides the spectroscopic properties for the studied odd-mass nuclei. The procedure has been applied to compute low-energy excitation spectra and electromagnetic transition rates, in the case of the $\gamma$-soft odd-mass systems ${}^{129-137}$Ba, ${}^{127-135}$Xe, ${}^{129-137}$La and ${}^{127-135}$Cs. The calculations provide a reasonable agreement with the available experimental data and agree well with previous results based on the relativistic mean-field approximation.

14 pages, 20 figures, 8 tables

References in corpus (7)

• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Particle-vibration coupling within covariant density functional theory
• Particle-vibration coupling effect on the $\beta$-decay of magic nuclei
• Spectroscopic properties of nuclear Skyrme energy density functionals
• Continuum particle-vibration coupling method in coordinate-space representation for finite nuclei
• Signatures of shape phase transitions in odd-mass nuclei

Cited by in corpus (6)

• Structure of ${}^{128,129,130}$Xe through multi-reference energy density functional calculations
• $\beta$ decay of odd-A nuclei with the interacting boson-fermion model based on the Gogny energy density functional
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Mapped interacting boson model for nuclear structure studies
• Simultaneous description of $\beta$ decay and low-lying structure of neutron-rich even- and odd-mass Rh and Pd nuclei
• Microscopic formulation of the interacting boson-fermion model using the nuclear energy density functional