The technique used by Faddeev to obtain connected equations for the nonrelativistic three-body T matrix is generalized for four particles. It is shown that the four-body equations are completely determined by the solutions of all the possible two-body subsystems, as is the case in the three-body problem. This approach can be extended to more complicated multiparticle systems.
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V. Alessandrini (1966) studied this question.
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