Elastic and Inelastic Coulomb Transitions in 50,52Cr

The elastic and inelastic longitudinal electron scattering form factors in of chromium isotopes (50,52Cr) isotopes were studied using the radial wave functions of a transformed harmonic oscillator potential in the local scale transformation technique. Occupation numbers from configuration mixing using the Hsieh-Wildenthal (HW) method for 50,52Cr were considered in parallel with those obtained using the adjusted occupation numbers. For shell interactions, the model space for HW interaction is restricted to the 1d3/2 and 1f7/2 subshells. The charge density distributions in the ground state and differential electron scattering cross-sections were computed. The inelastic form factors were studied by including core polarization using the Bohr-Mottelson model. For 50Cr, the three C2 transitions and the two C4 transitions were investigated. For 52Cr, the inelastic form factor for the two C2 transitions and for the two C4 transitions is investigated. In general, the use of the transformed harmonic-oscillator (THO) basis proved itself to be a good candidate to study stable nuclei, where good results (elastic and inelastic Coulomb form factors and differential cross sections) were obtained for 50,52Cr isotopes.