Abstract
The energy levels and their Gamma Transitions for the nuclei are important characteristics for identify its properties, and the moment of inertia is one of the important parameters in determining energy levels. accordingly many nuclear models have been developed in successive periods of time for this study, according to the movement of the nuclei. The energy levels were calculated for all values of the total nuclear momentum and parity by applying the nuclear shell model and the Generalized Variable Moment of Inertia with the addition of some limits in order to obtain accurate and inclusive results for all Nuclei. In This paper we have include nuclie whom their energy levels have not previously been studied theoretically and for which only experimental data are available and these Nuclei are: (11Na27, 26Fe59, 35Br79, 40Zr81, 39Y91, 38Sr97, 49In107 48Cd121, 77Ir191, 89Ac221) and this model was designed with a developed program (Matlab-2020) and the results were compared with the practical data and they were in good agreement.
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