Closed equation for one-particle Green's functions in the eikonal approximation

Perturbation theory series for statistical $T$-matrix describing the pair correlations in the system of strongly interacting particles, is summed up in the eikonal approximation to give the statistical analogue of the, Glauber scattering amplitude. The corresponding collision integral has the cross-section depending upon media and statistics and valid for the theory of moderately dense gases and quantum liquids and can be generalized for taking into account the triple correlations.