Fusion Barriers in Heavy-Ion Reactions

Abstract

We present experimental fusion barriers for ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$ ions on ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$, ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$, and ${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}$. These and published data for Ar and Kr ion-induced reactions are analyzed in terms of a simple classical formula for barrier heights. A prescription based on equivalent uniform charge radii from electron scattering is shown to reproduce all results to within the experimental uncertainty.