Fusion of Li and C and a search for entrance channel limitations to fusion cross sections

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Abstract
Excitation functions have been measured for reaction products from the Li6 and Li7 induced reactions Li6+C12, Li6+C13, Li7+C12, and Li7+C13. These data cover the energy range from Elab=9 to 36 MeV. It was found that the maximum fusion cross sections for these reactions are 780 and 770 mb for the Li6+C12 and Li6+C13, respectively, and 960 and 930 mb for the Li7+C12 and Li7+C13, respectively. The relative uncertainties for these maximum fusion cross sections are about 5%. Comparisons between optical model calculations of the total reaction cross sections and the measured fusion cross sections indicate that total fusion cross sections are substantially smaller than the total reaction cross sections for all four reactions at all energies. For each of the four entrance channels, energy and angular distributions have been measured at four energies for individual mass groups between A=9 and 19 u. Most of these products appear to be evaporation residues. The critical angular momenta deduced from the experimental fusion cross sections are discussed in terms of entrance channel and compound nucleus limitation models for compound nucleus formation. The individual mass groups are discussed in terms of systematics for evaporation residues.