Longitudinal Form Factors and Quadrupole Moments of 22,26Na Isotopes with Different Interactions

Abstract

     The longitudinal electron scattering form factors and the electric quadrupole moments are calculated for the states with J^π T= 3⁺0 (ground state) and 1⁺ 0 (583keV excited state) of ²²Na and J^π T= 3⁺2 (ground state) of ²⁶Na. Shell model calculations are based on USDA, USDB and Wildenthal interactions. The exact center of mass correction is included in Born approximation picture to generate the longitudinal form factors. The core polarization (CP) effect with the values of effective nucleon charges e_p=1.35, e_n= 0.35, with Bohr Mottelson formula gave a good agreement with the measured electric quadrupole moments. The structure of the nuclei under consideration shows that the 1d_5/2 orbit is dominant configuration for ²²Na, and 2s_1/2 orbit for ²⁶Na.