Analysis of elastic, quasielastic, and inelastic scattering of lithium isotopes on a Si-28 target

The elastic and inelastic cross sections of Li-6 on Si-28 at 240 MeV, and quasielastic cross section of Li-7 and Li-11 on Si-28 at 177.8 and 319 MeV, respectively, are analyzed with the coupled-channels method. The collective nuclear level density is used to determine the deformation parameter regarding to the first-excited state of Si-28. The results are in agreement with the experimental data and indicate the need of using a nuclear structure model such as nuclear level density to reduce the ambiguity between the optical model parameters and the deformation parameter. Additionally, the spin-orbit potential is found to have an important role in reproducing the data of the quasielastic scattering of Li-7 and Li-11 on a Si-28 target.