We derive three-body equations valid at finite densities and temperatures.These are based on the cluster mean field approach consistently includingproper self energy corrections and the Pauli blocking. As an application weinvestigate the binding energies of triton and determine the Mott densities andmomenta relevant for a many particle description of nuclear matter in ageneralized Beth-Uhlenbeck approach. The method, however is not restricted tonuclear physics problems but may also be relevant, e.g., to treatthree-particle correlations in weekly doped semiconducters or strongly coupleddense plasmas.
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