Striking oscillations were found in the elastic scattering of C-12+Mg-
24 near the Coulomb barrier. These oscillations are not reproduced by
the standard potentials at higher energies and provide the determinati
on of the optical potential without continuous ambiguity. The dispersi
on relation between the real and imaginary parts of this optical poten
tial is not satisfied at the strong absorption radius, but holds for t
heir volume integrals.