  Starting from a point - like two - and three - particle interaction the
kinetic equation is derived. While the drift term of the kinetic equation turns
out to be determined by the known Skyrme mean field the collision integral
appears in two - and three - particle parts. The cross section results from the
same microscopic footing and is naturally density dependent due to the three -
particle force. By this way no hybrid model for drift and cross section is
needed for nuclear transport. Besides the mean field correlation energy the
resulting equation of state has also a two - and three - particle correlation
energy which are both calculated analytically for the ground state. These
energies contribute to the equation of state and lead to an occurrence of a
maximum at 3 times nuclear density in the total energy.
