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

Sunday Olorunfunmi; Armand Bahini; Samuel A. Adeojo

doi:10.46481/jnsps.2026.3028

Authors

Sunday D. Olorunfunmi
[email protected]

Department of Physics & Engineering Physics, Obafemi Awolowo University, Ile-Ife, 220005, Osun State, Nigeria
Armand Bahini
Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, LPC Caen UMR6534, F-14000 Caen, France
Samuel A. Adeojo
Department of Physics & Engineering Physics, Obafemi Awolowo University, Ile-Ife, 220005, Osun State, Nigeria

Keywords:

Velocity–dependent potential

Abstract

This study investigates the elastic scattering cross sections for ¹²C + 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 ¹²C, 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.

Dimensions

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