Document Type : Research Paper
Authors
University of Anbar. College of Education for pure science
Abstract
The aim of the present work is to study some nuclear features of Erbium ( 98
166
68 Er ) such as
energy levels E(J), energy transition Eγ, band crossing, and back bending phenomena in the mass
region(A=166,and total number of bosons N=15)of the dynamical symmetry SU(3)-O(6) using
interacting boson model version-1(IBM-1) and a variable moment of inertia model(VMI)
In this study, we determined the most appropriate Hamiltonian that is needed for the present
calculations of deformed understudy nucleus; these calculations have been estimated by best-fitting to
the measured energies level.
The IBM-1 results have been compared with the previous experimental and theoretical (VMImodel)
data and it was observed that they are agreed in the most of the states. The predictions from the
VMI model are more accurate than those of the IBM-1
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