Abstract
This study examines the distributions of the elastic electron-scattering form factors, the nuclear matter density, and the root-mean-square radii for the nuclei with a high proton content: 9C, 12N, and 23Al. Using the Folding model with effective two-body interactions, we assess Pauli-pairing and the mass center impacts on the density. This method allows us to derive a two-body density distribution formula For selected nuclei via the pair correlation function. The nucleon density distribution for two oscillating harmonic particles, modeled by a two-frequency shell approach, uses two parameters: (bc) for core orbits and (bv) for halo orbits. Results confirm the presence of proton halo structures in 9C, 12N, and 23Al. The valence-proton configuration is pure (1p1/2) for 9C and 12N and pure (2s1/2) for 23Al. Calculated neutron and matter density distributions exhibit a significant long-tail effect, and the results align with experimental data.
Keywords: Matter density distributions, folding model, one–proton halo nuclei, root-mean square radii
