Orientation and deformation dependence of the reaction cross-section for a deformed target nucleus

Citation:
Ismail, M., M. M. Osman, E. H. Gebaly, and H. Abou-Shady, "Orientation and deformation dependence of the reaction cross-section for a deformed target nucleus", Modern Physics Letters A, vol. 18, issue 1, pp. 57-64, 2003.

Abstract:

The optical limit approximation to Glauber theory was used to calculate the reaction cross-section, σR, for a deformed target nucleus. A method is presented to include both density dependence of NN reaction cross-section and higher order deformations of the target nucleus. We studied orientation, energy and deformation dependence of σR for C12–N17 and C12–U238 interacting pairs. We found that the orientation dependence of σR for the heavy target U238 depends on the value and sign of hexadecapole deformation and it is more than 2.2 times compared to the light deformed target nucleus N17. The presence of hexadecapole deformation does not affect the value of σR averaged over all orientation of the target nucleus. A geometrical model was proposed to account for the orientation dependence of σR. We found that the error in this model is less than 10%.

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