Reaction Cross Section in Heavy-Ion Collisions

Abstract

Previously a compact formula for total reaction cross section for heavy-ion collisions as a function of energy was obtained by treating the angular momentum $l$ as a continuous variable. The accuracy of the continuum approximation is assessed and corrections are evaluated. The accuracy of the compact equation can be improved by a simple modification, if a higher accuracy is required. Simple rules to determine the barrier heights and the penetration probability for the $l$ partial wave from experimental data are presented, for the collision of identical or non-identical light nuclei.

Latex 11 pages, 8 figures

References in corpus (6)

• Theoretical study of the synthesis of superheavy nuclei with Z= 119 and 120 in heavy-ion reactions with trans-uranium targets
• Nuclear fusion in dense matter: Reaction rate and carbon burning
• Fusion reactions in multicomponent dense matter
• Structures in high-energy fusion data
• Enhancement of sub-barrier fusion of two-neutron halo nuclei
• Microscopic Calculation of Fusion Cross-Sections

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