The elastic scattering angular distributions of the weakly bound nucleus ^(8)Li on ^(7)Li, ^(9)Be, ^(12)C, ^(13)C, ^(14)N, ^(27)Al, ^(51)V, ^(58)Ni, and ^(208)Pb are analyzed at various incident energies. For this purpose, the real potential is generated for nine different density distributions of the ^(8)Li nucleus by using the double folding within the optical model. The theoretical results are in good agreement with the experimental data. In our study, also, new and practical sets of imaginary potentials for the investigated densities are derived.
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