Effect of density-dependent nucleon-nucleon cross-section on elastic scattering

  • A. Sh GhazalEmail author
  • M. S. M. Nour El-Din
  • M. Y. M. Hassan


A linear form of density-dependent total nucleon-nucleon (NN) cross-section that depends on the coordinates of the projectile and target is applied in the Glauber phase shift formula. The only free parameter in these calculations is the density-dependent parameter “\(\beta \)”, which is adjusted to obtain an agreement between the calculated angular distribution of the elastic-scattering cross-section and the corresponding experimental one. The elastic scattering of the 12C ion on the 12C ion target has been studied at incident energies of 300, 360, 1016, 1441 and 2400 MeV. The total reaction cross-section “ \(\sigma_{\rm r}\)” is also calculated with the obtained value of “\(\beta \)” for the same reactions. The obtained values of “ \(\sigma_{\rm r}\)” are compared with those obtained from the optical-model analysis as well as those of the experimental value. Nuclear transparency effects are also discussed. Generally, the density-dependent NN cross-section improves the calculated results.


Phase Shift Angular Distribution Free Parameter Calculated Result Linear Form 
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© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  • A. Sh Ghazal
    • 1
    Email author
  • M. S. M. Nour El-Din
    • 2
  • M. Y. M. Hassan
    • 1
  1. 1.Physics Department, Faculty of ScienceCairo UniversityGizaEgypt
  2. 2.Physics Department, Faculty of ScienceZagazig University (Benha Branch)BenhaEgypt

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