Phase Shift Analysis of $^{6}$Li Elastic Scattering on $^{12}$C and $^{28}$Si at $E_{lab}$ = 318 MeV

Abstract

We present a three-parameter phase shift model whose form is the same as that of Coulomb-modified Glauber model obtained from Gaussian nuclear densities. This model is applied to the $^{6}$Li + $^{12}$C and the $^{6}$Li + $^{28}$Si elastic scatterings at $E_{lab}$ = 318 MeV. The calculated differential cross sections provide quite a satisfactory account of the experimental data. The diffractive oscillatory structures observed at forward angles can be explained as being due to the strong interference between the near-side and the far-side scattering amplitudes. The optical potentials for two systems are predicted by using the method of inversion. The calculated inversion potentials are found to be in fairly good agreements with the results determined from the optical model analysis in the surface regions around the strong absorption radius. We also investigate the effects of parameters in the three-parameter phase shift model on the elastic scattering cross sections.