The optical limit approximation to Glauber theory was used to calculate the reaction cross-section, σ R, 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 σ R for C 12-N 17 and C 12-U 238 interacting pairs. We found that the orientation dependence of σ R for the heavy target U 238 depends on the value and sign of hexadecapole deformation and it is more than 2.2 times compared to the light deformed target nucleus N 17. The presence of hexadecapole deformation does not affect the value of σ R averaged over all orientation of the target nucleus. A geometrical model was proposed to account for the orientation dependence of σ R. We found that the error in this model is less than 10%.

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