IBM-1Calculations of Energy Levels and Electric Transition Probabilities B(E2) in “ 158-160 Gd Isotopes”

Abstract

In this paper, the interacting boson model (IBM-1) is described and employed for calculating the energy levels and electric transition probabilities B(E2) for “^158-160Gd isotopes”. The values of the parameters have been determined using the IBM-1 Hamiltonian which yield the best fit to the available experimental energy levels. Particular attention has been paid to the B(E2) transition probabilities. In general, a good agreement has been achieved between the IBM-1 calculations and the available experimental results of
energy levels and B(E2) values. The results showed that the “^158-160Gd isotopes” are rotational (deformed) nuclei and that they have dynamical symmetry SU(3) in the interacting boson model IBM-1.

Keywords:  Isotope; Energy levels; Interacting boson model; Transition probabilities.