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.

arXiv comment14 pages, 20 figures, 8 tables

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Cited by in corpus (15)

• $\beta$ decay of even-A nuclei within the interacting boson model based on nuclear density functional theory
• 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
• 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
• Questioning the wobbling interpretation of low-spin bands in $\gamma$-soft nuclei within the interacting boson-fermion model
• 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
• Signatures of shape phase transitions in krypton isotopes based on relativistic energy density functionals
• Mapped interacting boson model for nuclear structure studies
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Simultaneous description of $\beta$ decay and low-lying structure of neutron-rich even- and odd-mass Rh and Pd nuclei
• Spectroscopy of states in ${}^{136}\mathrm{Ba}$ using the ${}^{138}\mathrm{Ba}(\mathrm{p},\mathrm{t})$ reaction
• Neutrinoless $\beta \beta$ decay in the interacting boson model based on the nuclear energy density functionals
• Microscopic formulation of the interacting boson-fermion model using the nuclear energy density functional