Collective-model description of shape coexistence and intruder states in cadmium isotopes based on a relativistic energy density functional

Abstract

Low-energy structure of even-even ${}^{108-116}$Cd isotopes is analyzed using a collective model that is based on the nuclear density functional theory. Spectroscopic properties are computed by solving the triaxial quadrupole collective Hamiltonian, with parameters determined by the constrained self-consistent mean-field calculations within the relativistic Hartree-Bogoliubov method employing a universal energy density functional and a pairing force. The collective Hamiltonian reproduces the observed quadrupole phonon states of vibrational character, which are based on the moderately deformed equilibrium minimum in the mean-field potential energy surface. In addition, the calculation yields a low-lying excited $0^{+}$ band and a $\gamma$-vibrational band that are associated with a deformed local minimum close in energy to the ground state, consistently with the empirical interpretation of these bands as intruder bands. Observed energy spectra, $B(E2)$, and ${\rho }^2(E0)$ values are, in general, reproduced reasonably well.

11 pages, 8 figures

References in corpus (5)

• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• On the origin of the anomalous behaviour of 2+ excitation energies in the neutron-rich Cd isotopes
• Shell model based deformation analysis of light Cadmium isotopes

Cited by in corpus (3)

• Shape coexistence in even-even nuclei: A theoretical overview
• Signatures for shape coexistence and shape/phase transitions in even-even nuclei
• Shape transition and coexistence in Te isotopes studied with the quadrupole collective Hamiltonian based on a relativistic energy density functional