Optical potentials and isoscalar transition rates from 104 MeV alpha-particle scattering by the N=28 isotones48Ca,50Ti and52Cr

Abstract

Precisely measured differential cross sections for elastic and inelastic scattering from 104 MeV alpha-particles by48Ca,50Ti and52Cr are reported. The analyses aim primarily at the determination of strength, radial shapes and deformation of the scattering potentials, looking for isotonic differences ofN=28 isotones. The mean square radii of the (real) potentials are discussed in terms of mean square radius differences of the matter distributions. The isoscalar transition rates derived by coupled channel analyses of the measured cross sections are compared with electromagnetic rates. In addition to the analyses on the basis of a slightly generalized extended optical model a semi-microscopic deformed folding model has been applied, using a density-dependent effective alpha-bound nucleon interaction. Though an excellent description of the data over the full angular range is obtained the resulting values of the deformation parameters appear to be not consistent with results from various different methods.