Investigation of electrical and magnetical multipoles contributions to the total longitudinal and transverse form factors in some positive and negative 27Al states using different interactions

Abstract

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.