  The incorporation of realistic trajectories of two-particle scattering into
existing BUU or QMD codes meets considerable difficulties. We propose a method
of replacing the scattering event by a tractable non-local scenario reproducing
the correct asymptotics. The first principle derivation justifies the use of
corresponding nonlocal kinetic equations. The nonlocal shifts are necessary if
the system should approach an equation of state with second quantum virial
coefficient. The modifications of QMD and BUU codes are discussed and
comparison are presented with resent data. We find a pre-equilibrium production
of particles leading to higher energetic distributions of protons.
