Title: Electron scattering form factors of ²⁴Mg, ²⁸Si and ³²S: a shell model study with core polarisation

Authors: Aseel H. AbdulRidha; Fouad A. Majeed; Fatima M. Hussain

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

Abstract: The nuclear shell model and electron scattering theory offer a solid basis for estimating electron scattering form factors. This study uses shell model calculations to determine the longitudinal electron scattering form factors for ²⁴Mg, ²⁸Si, and ³²S nuclei, aiming to improve understanding of nuclear structure within the sd-shell region. The objective is to compute and analyse elastic (C0) and inelastic (C2 and C4) form factors for ²⁴Mg, ²⁸Si, and ³²S nuclei, and compare them with experimental data for validation. Form factors were calculated using the Skyrme-Hartree-Fock method with SK35, Wood-Saxon, and Harmonic Oscillator parametrisations. The Tassie model was used with effective charges to include core-polarisation effects. Shell model calculations used the USDA interaction in the sd-shell space. Theoretical form factors showed excellent agreement with experimental data, confirming model validity. Shell model predictions, including CP effects, reliably describe sd-shell nuclear structure and electron scattering.

Keywords: core-polarisation effects; electron scattering form factors; nuclear shell model; sd-shell nuclei; Tassie model.

DOI: 10.1504/IJNEST.2025.148439

International Journal of Nuclear Energy Science and Technology, 2025 Vol.18 No.1, pp.41 - 57

Received: 05 Jan 2025
Accepted: 17 May 2025
Published online: 04 Sep 2025 *

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