Title: Study of the nuclear structure for ⁷Li, ⁹Be and ²⁴Mg with Skyrme effective interaction

Authors: Teeba M. Talib; Fouad A. Majeed

Addresses: Department of Physics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq ' Department of Physics, College of Education for Pure Sciences, University of Babylon, Babylon, Iraq

Abstract: This study examines the longitudinal and transverse electron scattering form factors for ⁷Li, ⁹Be and ²⁴Mg nuclei using the shell model framework. The research focuses on the p and sd shell regions to better understand nuclear structure and interactions through precise calculations of form factors. The aims are to calculate and analyse the elastic and inelastic form factors for the mentioned nuclei in both p-shell and sd-shell regions, and to compare these results with previous theoretical studies and available experimental data. Two model spaces were adopted for the calculations to be performed for p-shell 1p_3/2, 1p_1/2 and three 1d_5/2, 2s_1/2, and 1d_3/2 for the sd-shell. The effective interactions used are ckpot effective interaction for p-shell calculations and usda effective interaction for sd-shell calculations. The Tassie model with appropriate proton and neutron effective charges was used, incorporating core polarisation (CP) effects to refine the form factor calculations. The calculated form factors were compared with existing theoretical models and experimental data. The study provided a detailed analysis of the impact of core-polarisation effects and validated the theoretical models used.

Keywords: electron scattering; Tassie model; core polarisation; longitudinal and transverse form factors; shell model.

DOI: 10.1504/IJNEST.2024.142756

International Journal of Nuclear Energy Science and Technology, 2024 Vol.17 No.2/3, pp.165 - 179

Received: 13 Apr 2024
Accepted: 02 Sep 2024
Published online: 20 Nov 2024 *

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