The elastic scattering cross sections of 350 MeV $^{7}$Li incident on $^{12}$C and $^{28}$Si target nuclei were analyzed using the parametrized phase shift model. The calculated results reproduced satisfactorily the structures of the angular distribution, and a comparison with experiment gave excellent agreement over the entire angular range. The diffractive oscillatory structures observed in the angular distributions can be understood in terms of the strong interferences between the near-side and the far-side scattering amplitudes while the scattering behavior of a structureless decreasing pattern at large angles is entirely determined by the far-side scattering. The parametrized phase shift was employed to evaluate the optical potential by using the inversion method. The calculated inversion potentials were compared to the Woods-Saxon potentials obtained from an optical model analysis.

Keywords:

Parametrized phase-shift model, Inversion potential, Elastic scattering, $^{7}$Li + $^{12}$C, $^{7}$Li + $^{28}$Si