Structural evolution in germanium and selenium nuclei within the mapped interacting boson model based on the Gogny energy density functional

Abstract

The shape transitions and shape coexistence in the Ge and Se isotopes are studied within the interacting boson model (IBM) with the microscopic input from the self-consistent mean-field calculation based on the Gogny-D1M energy density functional. The mean-field energy surface as a function of the quadrupole shape variables $\beta$ and $\gamma$, obtained from the constrained Hartree-Fock-Bogoliubov method, is mapped onto the expectation value of the IBM Hamiltonian with configuration mixing in the boson condensate state. The resultant Hamiltonian is used to compute excitation energies and electromagnetic properties of the selected nuclei ${}^{66-94}$Ge and ${}^{68-96}$Se. Our calculation suggests that many nuclei exhibit $\gamma$ softness. Coexistence between prolate and oblate, as well as between spherical and $\gamma$-soft, shapes is also observed. The method provides a reasonable description of the observed systematics of the excitation energy of the low-lying energy levels and transition strengths for nuclei below the neutron shell closure $N=50$, and provides predictions on the spectroscopy of neutron-rich Ge and Se isotopes with $52\le N\le 62$, where data are scarce or not available.

16 pages, 20 figures

References in corpus (7)

• Structural evolution in $A\approx 100$ nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Structure of Krypton isotopes calculated with symmetry conserving configuration mixing methods
• 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
• Beyond mean-field boson-fermion model for odd-mass nuclei
• Shape coexistence in Lead isotopes in the interacting boson model with Gogny energy density functional
• Covariant density functional analysis of shape evolution in $N=40$ isotones

Cited by in corpus (20)

• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Shape coexistence in even-even nuclei: A theoretical overview
• Structure of krypton isotopes within the interacting boson model derived from the Gogny energy density functional
• Absence of Low-Energy Shape Coexistence in ${}^{80}$Ge: The Nonobservation of a Proposed Excited 0${}_2^{+}$ Level at 639 keV
• Effect of configuration mixing on quadrupole and octupole collective states of transitional nuclei
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Quadrupole-hexadecapole correlations in neutron-rich samarium and gadolinium isotopes
• Mapped interacting boson model for nuclear structure studies
• The IBM Description of the B(E2) Anomaly: Dynamical Triaxiality and Configuration Mixing
• Shape coexistence close to $N=50$ in the neutron-rich isotope ${}^{80}$Ge investigated by IBM-2
• Nuclear charge radii of germanium isotopes around $N$ = 40
• Improved measurement of the $0_2^{+}\to 0_1^{+}$ E0 transition strength for ${}^{72}$Se using the SPICE spectrometer
• Description of the critical point symmetry in 124Te by IBM-2
• Microscopic-Macroscopic Approach for Ground-State Energies Based on the Gogny Force with the Wigner-Kirkwood Averaging Scheme
• Quadrupole-hexadecapole coupling in the rare earth region with beyond mean field correlations
• Neutrinoless $\beta \beta$ decay in the interacting boson model based on the nuclear energy density functionals
• Quadrupole and octupole states in ${}^{152}$Sm using the proton-neutron interacting boson model
• Triaxiality and shape dynamics in ${}^{70}$Ge
• Effects of shape coexistence and configuration mixing on low-lying states in tellurium isotopes
• Impacts of hexadecapole correlations in actinide nuclei