Elastic and inelastic scattering ofLi6onC12

Elastic and inelastic scattering of ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ on ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ were studied at 36.4 MeV and 40.0 MeV incident energies. Previously published elastic scattering data for 20, 24.5, 28, 30.6, and 63 MeV incident energies as well as the present data were analyzed to obtain an energy dependent optical potential. Inelastic scattering was measured for the transitions to the states at 4.44 MeV ($2^{+}$), 7.65 MeV ($0^{+}$), 9.63 MeV ($3^{-}$), 10.84 MeV ($1^{-}$), 11.83 MeV ($2^{-}$), 12.71 MeV ($1^{+}$), 13.35 MeV ($2^{-}$), and 14.05 MeV ($4^{+}$) in ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$. The angular distributions were analyzed using the distorted wave Born approximation with the usual collective form factor. Various options for the form factors and the optical potentials were investigated. It is found that the use of complex form factors generally fits the data. Results of these calculations are presented for all transitions and the values of $\beta$ are deduced. For the transition to the 4.44 MeV ($2^{+}$) state, both the shape and magnitude of the angular distribution (and hence the state's deformation parameter ${\beta }_2$) were well reproduced.