Shape Transition and Triaxial Interaction Effect in the Structure of ^152–166 Dy Isotopes

Abstract

The positive parity states in even-even 152−166 Dy are studied systematically in the framework of the interacting boson model (IBM). A cubic term, L = 3, has been added to the Hamiltonian in order to produce the effect of triaxiality on the energy spectrum. The potential energy surfaces as a function of β and γ deformation parameters, for all isotopes have been produced. Energy levels and reduced electric quadrupole transition probabilities are calculated in framework of IBM with Cubic term (IBMC). All results are compared with available experimental data. It is found that these isotopes can be described by a schematic Hamiltonian in transition from U(5) (vibration) to SU(3) (rotation) dynamic symmetry.

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