Longitudinal and Transverse Electron Scattering Form Factors for 13C Nucleus with Core-Polarization Effects

Inelastic electron scattering have been studied for3/2^- 1/2 (3.68MeV)،5/2^- 1/2(7.55MeV)and 3/2^- 1/2(15.11MeV) states in the 13C nucleus. 4He is considered as an inert core with nine nucleons out of it (the model space of nucleus). Form factors are calculated by using Cohen-Kurath interaction for 1p-shell model space with Modified Surface Delta Interaction (MSDI) as a residual interaction for higher configuration. The study of core-polarization effects on the form factors is based on microscopic theory, which combines shell model wave functions and configurations with higher energy as the first order perturbation. The radial wave functions for the singleparticle matrix elements have been calculated with the harmonic oscillator potential and the oscillator length parameter b is chosen to reproduce the measured root mean square charge radius for nucleus under considered in this work. The inclusion of the core-polarization effects (the effects from out of the core) gives a good agreement with the experimental data.