Quadrupole shape dynamics in view from a theory of large amplitude collective motion

Abstract

Low-lying quadrupole shape dynamics is a typical manifestation of large amplitude collective motion in finite nuclei. To describe the dynamics on a microscopic foundation, we have formulated a consistent scheme in which the Bohr collective Hamiltonian for the five dimensional quadrupole shape variables is derived on the basis of the time-dependent Hartree-Fock-Bogoliubov theory. It enables us to incorporates the Thouless-Valatin effect on the shape inertial functions, which has been neglected in previous microscopic Bohr Hamiltonian approaches. Quantitative successes are illustrated for the low-lying spectra in ${}^{68}$Se, ${}^{30-34}$Mg and ${}^{58-64}$Cr, which display shape-coexistence, -mixing and -transitional behaviors.

5 pages, 2 figures, 20th Nuclear Physics Workshop "Marie and Pierre Curie", Kazimierz, September 2013

References in corpus (5)

• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Discovery of the shape coexisting 0+ state in 32Mg by a two neutron transfer reaction
• Systematics of the first 2+ excitation with the Gogny interaction
• Shape changes and large-amplitude collective dynamics in neutron-rich Cr isotopes
• Deformation around neutron-rich Cr isotopes in axially symmetric Skyrme-Hatree-Fock-Bogoliubov method

Cited by in corpus (2)

• The Low-Energy Quadrupole Mode of Nuclei
• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics