Velocity-in/dependent double folding analysis of 12C + 12C elastic scattering cross section at different energies

This study investigates the elastic scattering cross sections for 12 C + 12 C over a wide range of incident energies from 78.85 to 420 MeV using the velocity–dependent São Paulo Potential version 2 (SPP2) and the velocity–independent Brazilian Nuclear Potential (BNP) within the optical-model-based double folding (DF) framework. Two different density distributions for 12 C, experimental matter density (ED), and the Dirac-Hartree-Bogoliubov (DHB) theoretical matter density, were employed. The analysis compares the computed potentials, obtained by folding the density distributions, and evaluates the accuracy of the results through comparison with experimental data. Two approaches were explored to determine the depths of the potentials, highlighting their performance and sensitivity to energy and density distributions. Results indicate good agreement with experimental data, with SPP2 generally outperforming BNP. Analysis of volume integrals and reaction cross sections further elucidates the behavior of the potentials and their implications on scattering phenomena. Overall, this study provides insights into the dynamics of nuclear interactions at intermediate energies, contributing to the understanding of nuclear reactions.