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

  • Sherif R. Mokhtar
  • Awad A. Ibraheem
  • Eman Abdel-Rahman
  • M. El-Azab Farid
Regular Article - Theoretical Physics
  • 39 Downloads

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 \( \alpha\) -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 \( \alpha\) -\( \alpha\) and \( \alpha\) -n effective interactions over the density distributions of \( \alpha\) -clusters in the target ( 40Ca nucleus and considering the \( \alpha\) -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 \( \alpha\) -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.

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Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Sherif R. Mokhtar
    • 1
  • Awad A. Ibraheem
    • 2
    • 3
  • Eman Abdel-Rahman
    • 1
  • M. El-Azab Farid
    • 1
  1. 1.Physics DepartmentAssiut UniversityAssiutEgypt
  2. 2.Physics DepartmentKing Khalid UniversityAbhaSaudi Arabia
  3. 3.Physics DepartmentAl-Azhar University, Assiut BranchAssiutEgypt

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