This study investigates the nuclear structure of 12C, 15N, and 24Mg nuclei utilizing a shell model (SM) with the Skyrme Hartree–Fock (SHF) approach. The form factors for inelastic electron scattering were computed for low-lying states that change their parity. This study demonstrates the practicality of the strategy using the truncated large-scale spsdpf shell model space with WBP two-body effective interaction. The data for the M2 transition (2-,0),(2-,1) states indicate energy levels of 12.180 MeV and 16.660 MeV in 12C, 12.666 MeV in 24Mg, 10.062 MeV and 10.800 MeV for 3/2+(3) and 3/2+(4) states, and 7.153 MeV and 10.529 MeV for 5/2+(2) and 5/2+(4) states in 15N. Within Hartree-Fock theory, Skyrme interactions are utilized to derive a one-body potential for the computation of single-particle matrix elements. The single-particle potential of HO for inelastic form factors exhibits a remarkable concurrence with the existing experimental data.
Inelastic Electron Scattering (M2) for Changing Parity States of <sup>12</sup>C, <sup>15</sup>N and <sup>24</sup>Mg
Shell Modell
Skyrm Hartree-Fock
Changing Parity State
Inelastic Electron Scattering
Transverse Form Factor