Fusion cross sections for ⁷Li + ¹²C system at near barrier energies

Abstract

Elastic scattering and alpha particle angular distributions for the reaction ⁷Li + ¹²C have been measured at E_lab=7.5,9,12, and 15 MeV. Statistical and direct reaction model calculations have been performed to deduce the fusion and direct reaction cross sections. The fusion cross sections measured in the present work are found to be consistent with those obtained by measurement of characteristic γ-rays, which are very different from those measured by direct detection of evaporation residues. The contribution from direct reactions to the alpha particle cross section has been quantified by exact finite range transfer calculations and found to be negligible (<6%) at all the bombarding energies studied. The measured fusion cross sections at all the energies studied are nearly equal to the reaction cross sections which imply that the direct reaction contributions are less and fusion is the dominant process.