Study the Effect of Isospin Dependence and Short-Range Correlations by Using Contact Formalism through Inclusive Nuclear Structure for <sup>20</sup>Ne and <sup>24</sup>Mg Nuclei

Pair densities and their related correlation functions play a crucial role in capturing the complex many-body interactions within nuclear systems. This study focuses on how spin and isospin specifically influence nuclear charge density distributions. Using the folding model, the charge density is derived through an effective two-body density approach that incorporates both short-range correlations (SRC’s) and tensor correlations (TC’s), while also accounting for spin- and isospin-dependent forces. Calculations were carried out for the elastic electron scattering form factors, F(q), and the root-mean-square (RMS) charge radii, ⟨r²⟩¹ᐟ², of the ²⁰Ne and ²⁴Mg nuclei. The study also examined inelastic longitudinal electron scattering form factors for isoscalar transitions (T = 0) from the ground state to the excited states (0+ 0 → 2+ 0) and (0+ 0→ 4+ 0) in the same nuclei. These analyses incorporated core polarization effects using the Tassie model. The results closely matched experimental observations, underscoring the reliability and precision of the theoretical approach used.