Structure of krypton isotopes within the interacting boson model derived from the Gogny energy density functional

Abstract

The evolution and coexistence of the nuclear shapes as well as the corresponding low-lying collective states and electromagnetic transition rates are investigated along the Krypton isotopic chain within the framework of the interacting boson model (IBM). The IBM Hamiltonian is determined through mean-field calculations based on the several parametrizations of the Gogny energy density functional and the relativistic mean-field Lagrangian. The mean-field energy surfaces, as functions of the axial $\beta$ and triaxial $\gamma$ quadrupole deformations, are mapped onto the expectation value of the interacting-boson Hamiltonian that explicitly includes the particle-hole excitations. The resulting boson Hamiltonian is then used to compute low-energy excitation spectra as well as E2 and E0 transition probabilities for ${}^{70-100}$Kr. Our results point to a number of examples of the prolate-oblate shape transitions and coexistence both on the neutron-deficient and neutron-rich sides. A reasonable agreement with the available experimental data is obtained for the considered nuclear properties.

arXiv comment13 pages, 9 figures, 2 tables

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Cited by in corpus (11)

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• Anomalous collective modes in atomic nuclei within the proton-neutron interacting boson model
• Description of neutron-rich odd-mass krypton isotopes within the interacting boson-fermion model based on the Gogny energy density functional
• The IBM Description of the B(E2) Anomaly: Dynamical Triaxiality and Configuration Mixing
• Mapped interacting boson model for nuclear structure studies
• Signatures of shape phase transitions in krypton isotopes based on relativistic energy density functionals
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• The pervasiveness of shape coexistence in nuclear pair condensates
• Neutrinoless $\beta \beta$ decay in the interacting boson model based on the nuclear energy density functionals
• Effects of shape coexistence and configuration mixing on low-lying states in tellurium isotopes
• Impacts of hexadecapole correlations in actinide nuclei