We derive three-body equations valid at finite densities and temperatures.
The equations are based on the cluster mean field approach consistently inc
luding proper self-energy corrections and Pauli blocking. As an application
we investigate the binding energies of triton and determine the Mott densi
ties and momenta relevant for a many particle description of nuclear matter
in a generalized Bethe-Uhlenbeck approach. The method, however, is not res
tricted to nuclear physics problems but map also be relevant, e.g., to trea
t three-particle correlations in weakly doped semiconductors or strongly co
upled dense plasmas. [S0556-2813(99)06708-4].