Effect of the Exact Center of Mass Correction on the Longitudinal Form Factors for Neutron Rich 12,14,18N Isotopes

Abstract

Abstract The nuclear structure of the ground state for even 12,14,18N isotopes are studied within the shell model framework through the longitudinal elastic electron scattering. The generate wave functions from two-body interaction of Cohen and Kurath in the p-shell for 12,14N, and psdsu3 interaction for 18N nucleus. The exact value of the center of mass correction in the translation invariant shell model (TISM) are re-examined for longitudinal form factors. The contribution of a higher 2p-shell configuration resolves some discrepancies with the experiments for the form factors at q-values. The inclusion of the core polarization effects through an effective nucleon charge gives a reasonable agreement for the present results with available data. The occupancy percentage with respect to the valance nucleons is also calculated.