The scattering formalism of Alt, Grassberger, and Sandhas is extended to include a possible three-particle interaction. This is then employed to find a set of scattering integral equations in which no unphysical auxiliary amplitudes related to the three-body force appear, as well as to develop a practical method for treating perturbatively the effect of a weak three-body force. The general K-matrix formalism and connected-kernel Heitler equations are also developed. This yields some indication of the structure that might be expected in a relativistic connected-kernel K-matrix formalism.
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K. L. Kowalski (1973) studied this question.
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