The shell model and Skyrme interaction calculations were used to study the nuclear structure of the 27 Al nucleus. In particular, inelastic electron scattering form factors, energy levels, and transition probabilities for positive and some negative parity low energy states have been calculated. The sd shell model was used with SKX parameters for positive parity cases. The calculations were performed on sd space interactions and the best results were obtained from HBUMSD, HBUSD, CWH, PW, and W interactions. For negative parity cases, the zbm model space with SKXcsb parameters has been used with zwm interactions. The excitation energies and transitions probabilities to the ground state 5/2 + for positive parity states have been also calculated. The calculated form factors, energy level diagrams, and transition probabilities were compared with the available experimental data. It was confirmed that the Skyrme interaction is suitable with the shell model to study the nuclear structure.

The nuclear structure of the 25 Mg nucleus was studied using the shell model and Skyrme computations. For positive parity low (energy states, inelastic electron scattering form factors, energy levels, charge density distribution, and transition probabilities) have all been determined. The SKX parameters were used with the sd shell model. The best results were obtained from HBUMSD, HBUSD, CWH, PW, and W interactions, which were calculated on sd space interactions. For positive parity states, the excitation energies and transition probabilities to the ground state 5/2 + have also been determined. The experimental data was compared to the estimated form factors, energy level diagrams, and transition probabilities. The Skyrme interaction was shown to be compatible with a shell model is used to explore nuclear structure.