Investigation of inelastic α-scattering on ²⁴Mg and ²⁸Si

Abstract:

Effects of three different α-nucleus potentials, the normal Woods-Saxon (WS), the squared WS and the molecular, have been studied using the differential cross-section data of inelastically scattered α-particles on ²⁴Mg and ²⁸Si at 54 and 26 MeV incident energies, respectively. The angular distributions of inelastic scattering to the first 2⁺ and 4⁺ states of the two nuclei have been analyzed in terms of a coupled-channel formalism. The macroscopic rotational model using both the squared WS and the molecular potentials can produce satisfactorily a simultaneous description of the elastic data and the inelastic-scattering data of the 2⁺ and 4⁺ states for both the targets. The normal WS potential fails to describe the elastic and inelastic data, simultaneously. The effects of second-order deformed potential are also investigated. Microscopic coupled-channel calculations, using the 0⁺-2⁺ coupling and the Gaussian α-nucleon interaction in the form-factor, have also been performed for the ²⁸Si target using both the squared WS and molecular potentials, the latter one giving a reasonable description of the data.