Studying the Nuclear Structure of the ( ) Deformed Nucleus using (IBM-1) and (GVMI) Models

Abstract

In this research, some properties of the nuclear structure of even-even

deformed nucleus were studied with dynamic symmetry SU (3).The energy levels E (L), excited energy levels ( ), and electric quadrupole moment( ) were calculated using a set of parameters in the calculation to obtain a match with the practical values available using the first interacting boson model. IBM-1 and generalized variable moment of inertia (GVMI) model, The calculated results are in good agreement with the available practical values, especially, the values calculated according to the GVMI program. The phenomenon of band intersection ,and back bending were also studied, the results showed no effect of the moment of inertia on the shape of the nucleus under consideration ,because the back bending phenomenon was not occur.