<![CDATA[The present paper calculates the energy levels and electron scattering form factors of several medium and light nuclei. This calculation involves many components that need to be taken into account to ensure both feasibility and accuracy, including mathematics methods, quantum mechanical theory, and the theoretical framework and formulas of the nuclear shell model. In this study, the energy levels of 6Li nuclei were calculated using the no-core shell model with WBT, WBM, and WBP effective residual interactions. The core shell model was employed to calculate the energy levels for the 32S and 92Mo nuclei. Based on the no-core shell model energy level calculations, the theoretical elastic (C0) electron scattering form factors of 6Li were obtained, while the core shell model was used to calculate the longitudinal C2 electron scattering form factor for the 32S, 92Mo, and 90Zr nuclei using the Tassie Model (TM). Potentials of the SKX(Skyrm Interaction\ force) and HO (Harmonic Oscillator) were utilized calculate the radial single-particle matrix elements’ wave functions. The Shell model code NuShell-X@MSU was utilized in this present work. The energy level calculations of the 6Li nuclei with wbm and wbt interactions show good agreement with experimental data compared to the wbp interaction. The core shell model calculations for the energy levels of 32S and 92Mo nuclei show reasonable agreement with the experimental data. In addition, the longitudinal C2 inelastic electron scattering form factors of 92Mo, 90Zr, and 32S nuclei exhibit good agreement with experimental results.]]>
