Anomalous large-angle $\alpha$-scattering in a single-folding model with microscopic densities

Abstract

We investigate anomalous large-angle scattering (ALAS) of $\alpha$-particles from $N=Z$ nuclei within the framework of the single-folding model. Differential cross sections are calculated by folding the $\alpha$-nucleon interaction with nuclear density distributions obtained from both relativistic and non-relativistic mean-field models. The folding procedure employs a Gaussian-form $\alpha$-nucleon interaction, with its energy dependence and range constrained by previous theoretical studies. Our results show that ALAS in $sd$-shell nuclei is reasonably well reproduced using the microscopic densities together with an $\alpha$-nucleon interaction characterized by a unified parameter set, in which only two parameters vary with the mass number.

23 pages, 7 figures