A MICROSCOPIC ENERGY-DEPENDENT AND DENSITY-DEPENDENT EFFECTIVE INTERACTION AND ITS TEST BY NUCLEUS-NUCLEUS SCATTERING

An effective nucleon-nucleon interaction calculated in nuclear matter from the Bonn potential has been parametrized in terms of a local dens ity- and energy-dependent two-body interaction. This allows to calcula te the real part of the nucleus-nucleus scattering potential and to te st this effective interaction over a wide region of densities (rho les s than or equal to 3 rho(0)) produced dynamically in scattering experi ments. Comparing our calculations with empirical potentials extracted from data on light and heavy ion scattering by model-unrestricted anal ysis methods, we find quantitative agreement with the exception of pro ton scattering. The failure in this case may be traced back to the pro perties of the effective interaction at low densities, for which the n uclear 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.