Abstract
Cross sections for the fusion of $^{28}\mathrm{Si}$ + $^{12}\mathrm{C}$ and $^{30}\mathrm{Si}$ + $^{12}\mathrm{C}$ have been measured at energies between 6.4 and 9.4 MeV/nucleon and 5.2 and 8.3 MeV/nucleon, respectively. Comparison with existing data for compound systems with $A=40 \mathrm{and} 42$ shows that the extracted critical angular momentum at saturation (${l}_{\mathrm{cr}}^{max}$) depends strongly on the entrance channel mass asymmetry. This effect is not accounted for by the standard entrance channel or compound nucleus models. A calculation of the conditional saddle-point shapes for touching spheroidal nuclei indicates that this mass asymmetry effect is a consequence of the dynamical fusion thresholds at high angular momentum. Quantitative agreement is obtained with the experimentally measured ${l}_{\mathrm{cr}}^{max}$ using the finite range model of Sierk for diffuse-surface nuclei.
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