Faddeev-like equations with multibody forces

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Abstract
Equations for a system of four particles interacting through two‐, three‐, and four‐body potentials are derived using a generalization of Faddeev's technique for the three‐body problem. Two alternative approaches are condsidered and simple equations for iterative solutions are written down. The method is generalized to the N‐body problem with multibody forces.