12C + 7Li Reaction measurements and the 12C( 7Li, t) 16O reaction

Abstract

A measurement of the residues from the 12C + 7Li reaction has been obtained for 7Li energies from 10 to 38 MeV. From these measurements the fusion cross sections and critical angular momenta for the 12C + 7Li system have been deduced. Cross sections for the 7Li( 12C, t) 16O reaction have been obtained for 12C energies from 54 to 62 MeV at θ lab = 2.7°. The critical angular momenta obtained from the fusion cross sections have been used to perform Hauser-Feshbach calculations for the 12C( 7Li, t) 16O reaction. These calculations have been compared to measured angular distributions over a wide energy range. By comparing the fusion cross sections required by the Hauser-Feshbach calculations to fit the 12C( 7Li, t) 16O(8.87 MeV) reaction and the measured residue cross section it is estimated that at least 80 % of the measured residues are fusion products. The calculations also indicate that direct processes dominate the population of many 16O levels at forward angles and the 10.35 MeV state at backward angles. The necessity for using a critical angular momentum in Hauser-Feshbach calculations is discussed.