Investigating the Impact of the Nuclear Single-Particle Potentials on Parity-Changing Transitions and Deformation in 24Mg

The present work focuses on the nuclear structure of 24Mg Jπ (0+), with particular emphasis on the low-lying positive and negative parity excited states and their associated electromagnetic form factors. The study utilizes a combination of the Shell Model (SM) and Skyrme Hartree-Fock (SHF) method, considering inelastic electroexcitation form factors for excitation energies up to 13 MeV in a momentum transfer range from 0.0 to 3.0 fm⁻¹. Various single-particle potentials, including SHF, HO, and WS models, are applied to describe positive and negative parity states. Additionally, the HF+BCS method is employed to investigate the quadrupole deformation (β2) as a function of energy, offering insights into the shape and structure of nuclei. The results demonstrate a reasonable agreement between theoretical predictions and experimental data, particularly in reproducing longitudinal and transverse electroaxcitation form factors and energy level schemes. Notably, the HO potential exhibits better alignment with experimental data for specific transitions, indicating its effectiveness in capturing crucial features of nuclear structure. This study underscores the importance of one-body potentials, two-body effective interactions, and parameterization in accurately describing various nuclear systems, particularly those featuring unstable nuclei. The findings shed light on the behavior of 24Mg, paving the way for further advancements in nuclear theory through the integration of theoretical frameworks.