Spectroscopy of quadrupole and octupole states in rare-earth nuclei from a Gogny force

Abstract

Collective quadrupole and octupole states are described in a series of Sm and Gd isotopes within the framework of the interacting boson model (IBM), whose Hamiltonian parameters are deduced from mean field calculations with the Gogny energy density functional. The link between both frameworks is the (${\beta }_2{\beta }_3$) potential energy surface computed within the Hartree-Fock-Bogoliubov framework in the case of the Gogny force. The diagonalization of the IBM Hamiltonian provides excitation energies and transition strengths of an assorted set of states including both positive and negative parity states. The resultant spectroscopic properties are compared with the available experimental data and also with the results of the configuration mixing calculations with the Gogny force within the generator coordinate method (GCM). The structure of excited $0^{+}$ states and its connection with double octupole phonons is also addressed. The model is shown to describe the empirical trend of the low-energy quadrupole and octupole collective structure fairly well, and turns out to be consistent with GCM results obtained with the Gogny force.

17 pages, 12 figures, 4 tables

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Cited by in corpus (18)

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• Quadrupole-octupole coupling and the onset of octupole deformation in actinides
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• Microscopic description of quadrupole-octupole coupling in neutron-rich actinides and superheavy nuclei with the Gogny-D1M energy density functional
• Angular momentum and parity projected multidimensionally constrained relativistic Hartree-Bogoliubov model
• Octupole correlations in collective excitations of neutron-rich $N\approx 56$ nuclei
• Beyond-mean-field description of octupolarity in dysprosium isotopes with the Gogny-D1M energy density functional
• 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
• Quadrupole-hexadecapole correlations in neutron-rich samarium and gadolinium isotopes
• Simultaneous description of $\beta$ decay and low-lying structure of neutron-rich even- and odd-mass Rh and Pd nuclei
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• Quadrupole-hexadecapole coupling in the rare earth region with beyond mean field correlations
• Quadrupole and octupole states in ${}^{152}$Sm using the proton-neutron interacting boson model
• Octupole correlation effects on two-neutron transfer intensity in rare-earth nuclei
• Impacts of hexadecapole correlations in actinide nuclei