We derive three-body equations valid at finite densities and temperatures.
These are based on the cluster mean field approach consistently including
proper self energy corrections and the Pauli blocking. As an application we
investigate the binding energies of triton and determine the Mott densities and
momenta relevant for a many particle description of nuclear matter in a
generalized Beth-Uhlenbeck approach. The method, however is not restricted to
nuclear physics problems but may also be relevant, e.g., to treat
three-particle correlations in weekly doped semiconducters or strongly coupled
dense plasmas.Comment: 7 pages, RevTex, 5 figure
