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Elastic scattering phenomenology by inversion: 16O on 12C at 608 MeV.

Here we introduce a practical approach to optical model phenomenology for heavy ions. The key idea is the determination of a spline improved McIntyre'' {ital S} matrix {ital S}({ital l}) which is then subjected to {ital S}({ital l})-to-{ital V}({ital r}) inversion. We apply this to fitting experimental data for {sup 16}O on {sup 12}C at 608 MeV and obtain potentials which are significantly different from those found from a simple optimization of McIntyre parameters followed by inversion. In particular we find quite different results for such qualitative features as {ital W}/{ital V} in the nuclear surface. The potential found is compared with that obtained by conventional analysis. The two-stage procedure has computational advantages for heavy ions.