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

TL;DR

This study models anomalous large-angle alpha-particle scattering using a single-folding approach with microscopic nuclear densities, successfully reproducing experimental observations in sd-shell nuclei.

Contribution

It introduces a unified parameter set for the alpha-nucleon interaction that accurately predicts ALAS across different nuclei using microscopic densities.

Findings

ALAS is well reproduced with microscopic densities and a consistent interaction model.

The model uses only two parameters varying with mass number.

Results support the validity of the single-folding approach for ALAS analysis.

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.