IBM-1 Calculations of Low-Lying Excited Levels and Electric Transition Probabilities B(E2) on the Even-Even " 174-180 Hf Isotopes"

Abstract

In this paper, the interacting boson model (IBM-1) is discussed and employed for calculating the energy levels and the electromagnetic transition probabilities B(E2) of the even – even "^174-180 Hf isotopes". These isotopes have been investigated based on two different arrangements; i.e., the dynamical symmetry of "^176-180 Hf isotopes", SU(3) (deformed nuclei) and the dynamical symmetry of "¹⁷⁴Hf isotope" in transition region SU(3)-O(6). The determined values using the IBM-1 Hamiltonian showed significant agreement with the experimentally reported energy levelsand B(E2) values. The model provides a fast and accurate prediction method of energy levels and B(E2) values.

Keywords: Hafnium isotopes; Energy levels; Interacting boson model.