Determination of the Deformations in ²⁴Mg and ²⁸Si Nuclei from Electron Scattering

Abstract

High-resolution measurements of the differential cross sections for elastic and inelastic scattering of 183- and 250-MeV electrons by 24 Mg and 29 Si were carried out using the beams from the Tohoku 300-MeV electron linear accelerator. We have found several excitations for these nuclei including the members of the ground-state rotational band. The inelastic cross sections obtained were analyzed to extract the B ( E L ) values. The form factors for the rotational levels were further analyzed by the use of the extended Nilsson model and found the best fits to the data. The quadrupole and hexadecapole moments are also extracted from this analysis. The parameters β 2 and β 4 associated with the nuclear Y 2 and Y 4 deformations are calculated from these moments and compared them with those obtained from ( p , p ') reactions.