Abstract
The interaction between three nucleons is studied on the basis of the covariant Green's function. A three-nucleon potential is derived from the scattering matrix and is characterized by an expansion in number of mesons exchanged. The complete definition of the potential now depends on the knowledge of the basic meson-nucleon interaction amplitudes to which each term of the expansion is connected. With the neglect of pion-pion interactions, the lowest-order potential, which involves the exchange of two quanta, is given in terms of the renormalized coupling constant and the total cross-section for meson-nucleon scattering. It is argued that in low energies and at large distances, the higher terms in the expansion give no appreciable contribution and so the lowest order suffices for most purposes.
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