Applicability of the orientation average formula in heavy-ion fusion reactions of deformed nuclei

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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5 pages and 3 figures

Scientific paper

10.1103/PhysRevC.63.044603

In heavy-ion fusion reactions involving a well deformed nucleus, one often assumes that the orientation of the target nucleus does not change during the reaction. We discuss the accuracy of this procedure by analyzing the excitation function of the fusion cross section and the fusion barrier distribution in the reactions of $^{154}$Sm target with various projectiles ranging from $^{12}$C to $^{40}$Ar. It is shown that the approximation gradually looses its accuracy with increasing charge product of the projectile and target nuclei because of the effects of finite excitation energy of the target nucleus. The relevance of such inaccuracy in analyzing the experimental data is also discussed.

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