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

Abstract

Inelastic electron scattering have been studied for (3.68 )
2
1
2
3
MeV

,
(7.55 )
2
1
2
5
MeV

(15.11 )
2
3
2
3
MeV

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.