Eur. Phys. J. A (2022) 58: 85
https://doi.org/10.1140/epja/s10050-022-00728-4

Regular Article - Theoretical Physics

A realistic numerical treatment of Coulomb potential in comparison with the analytical approximations

¹ Accelerator and Radiation Laboratory, Ankara University, Ankara, Turkey
² Department of Physics, Akdeniz University, Antalya, Turkey

^b ykucuk@akdeniz.edu.tr

Received: 27 December 2021
Accepted: 11 April 2022
Published online: 3 May 2022

Abstract

we conduct a more realistic double-folding numerical treatment of the Coulomb potential in comparison with the usual analytical approximation for the different prescriptions of nuclear radius. By using this double-folding technique, we present that a superior approximation to the standard analytical rigid spheres one could be achieved. The results illustrating the differences for the extensively studied ${}^{16}$O + ${}^{208}$Pb system are presented. It is observed that the potential for the short-ranges, which one expects to be below or up-to the barrier, the analytical approximations are inferior to the double-folding procedure, especially so for the simplest radius choice. Our results clearly show that the analytical approaches are rather poor and the use of the double-folding technique for the Coulomb potential will lead to a better determination of the nuclear potential for the interaction of two nuclei.