# Folding model analysis of $ ^{12}C- ^{12}C $ and $ ^{16}O- ^{16}O $ elastic scattering using the density-dependent LOCV averaged effective interaction

## TL;DR

This paper uses a density-dependent LOCV averaged effective interaction within a folding model to successfully describe elastic scattering of carbon-12 and oxygen-16 nuclei, matching experimental data without additional parameterization.

## Contribution

It introduces a novel application of LOCV-derived effective interactions in folding models for heavy-ion scattering, eliminating the need for parameterized density dependence.

## Key findings

- Accurate reproduction of elastic scattering data at low and medium energies.
- LOCV AEI provides a parameter-free alternative to traditional density-dependent potentials.
- Results agree well with experimental measurements across different incident energies.

## Abstract

The averaged effective two-body interaction (\textit{AEI}) which can be generated through the lowest order constrained variational (\textit{LOCV}) method for symmetric nuclear matter (\textit{SNM}) with the input \textit{Reid}68 nucleon-nucleon potential, is used as the effective nucleon-nucleon potential in the folding model to describe the heavy-ion (\textit{HI}) elastic scattering cross sections. The elastic scattering cross sections of $^{12}C-^{12}C$ and $^{16}O-^{16}O$ systems are calculated in the above frameworks. The results are compared with the corresponding calculations coming from the fitting procedures with the input finite range \textit{DDM3Y1-Reid} potential and the available experimental data at different incident energies. It is shown that a reasonable description of the elastic $^{12}C-^{12}C$ and $^{16}O-^{16}O$ scattering data at the low and the medium energies can be obtained by using the above \textit{ LOCV AEI}, without any need to define a parameterize density dependent function in the effective nucleon-nucleon potential, which is formally considered in the typical \textit{DDM3Y1-Reid} interactions.