An effective nucleon-nucleon interaction calculated in nuclear matter from
the Bonn potential has been parametrized in terms of a local density- and
energy-dependent two-body interaction. This allows to calculate the real part
of the nucleus-nucleus scattering potential and to test this effective
interaction over a wide region of densities (ρ≤3ρ0) produced
dynamically in scattering experiments. Comparing our calculations with
empirical potentials extracted from data on light and heavy ion scattering by
model-unrestricted analysis methods, we find quantitative agreement with the
exception of proton scattering. The failure in this case may be traced back to
the properties of the effective interaction at low densities, for which the
nuclear matter results are not reliable. The success of the interaction at high
overlap densities confirms the empirical evidence for a soft equation of state
for cold nuclear matter.Comment: 8 pages 3 Figures included, to appear in Phys. Lett.