Eur. Phys. J. A (2018) 54: 235
https://doi.org/10.1140/epja/i2018-12663-6

Regular Article - Theoretical Physics

Investigation of the ⁶Li + ⁴⁰Ca elastic scattering using different folding models

¹ Physics Department, Assiut University, 71516, Assiut, Egypt
² Physics Department, King Khalid University, Abha, Saudi Arabia
³ Physics Department, Al-Azhar University, Assiut Branch, 71524, Assiut, Egypt

^* e-mail: Awad_ah_eb@hotmail.com

Received: 6 September 2018
Accepted: 29 November 2018
Published online: 31 December 2018

Abstract

In the present study we investigate the ⁶Li + ⁴⁰Ca elastic scattering through the energy range 26-240MeV in the framework of the optical model and -cluster structure of the colliding nuclei. The double folding (DF) calculations for the real central part of the nuclear optical potential are performed by folding the - and -n effective interactions over the density distributions of -clusters in the target ( ⁴⁰Ca nucleus and considering the -d structure of the projectile ( ⁶Li nucleus. The imaginary part of the optical potential is expressed in the phenomenological Woods-Saxon form. The measured angular distributions of the elastic scattering differential cross section have been successfully reproduced using the derived semi-microscopic potentials for nine sets of data all over the measured angular range. However, it is found that introducing a real renormalization factor smaller than unity is essential in order to obtain a successful description of the data at bombarding energies larger than 10MeV/nucleon. The obtained results confirm the validity of the -cluster structure to generate a realistic representation of nucleus-nucleus optical potentials. For the sake of comparison, the same considered sets of data are reanalyzed using microscopic DF optical potentials based upon the São Paulo potential. The energy dependence of the corresponding reaction cross sections and real and imaginary volume integrals of the considered reaction are also investigated.