Microscopic Approach in Inelastic Heavy-Ions Scattering with Excitation of Nuclear Collective States

TL;DR

This paper develops a microscopic approach to inelastic heavy-ion scattering, using double-folding potentials and coupled-channel calculations to analyze elastic and inelastic scattering, comparing results with experimental data.

Contribution

It introduces a method combining microscopic potentials with coupled-channel and eikonal approaches for analyzing inelastic heavy-ion scattering involving nuclear excitations.

Findings

The microscopic potentials accurately reproduce experimental scattering data.

The coupled-channel and eikonal methods provide consistent results.

The approach effectively predicts nuclear deformation parameters.

Abstract

In the density distribution of a deformed target-nucleus, the spherical $\lambda = 0$ and the deformed $\lambda = 2$ parts were considered. On this basis, the corresponding potential parts $U_0$ and $U^{(2)}_{int}$ of a double -folding microscopic nucleus-nucleus optical potential are obtained. Then, for these potentials and by using the coupled-channel technique (ECIS), the elastic and inelastic amplitudes are calculated for $^{17}O$ heavy ion scattering on $2^{+}$ collective excited state of various target nuclei. Besides, the same cross-sections are calculated in the frame of an adiabatic approach of the eikonal approximation, where the inelastic amplitude is the linear function of $U^{(2)}_{int}$. Both the obtained results are compared with the experimental data, and also discuss their efficiency in predicting the deformation parameters of nuclei.