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

Abstract

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.

5 pages and 3 figures

References in corpus (2)

• A program for coupled-channels calculations with all order couplings for heavy-ion fusion reactions
• Effects of ${\beta }_6$ deformation and low-lying vibrational bands on heavy-ion fusion reactions at sub-barrier energies

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• Systematic study of the effect of individual rotational energy levels on the fusion cross-section of \texorpdfstring{${}^{16}O$}--based reactions of range $480\le Z_P{Z}_T\le 592$