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We have derived a two-pion-exchange three-body potential by using a chiral-invariant Lagrangian for the pion-nucleon interaction. Only the three dominant lowest-order processes which give rise to a three-body interaction are included: (a) The second pion is emitted before the first pion is absorbed and the nucleon which emits the second pion goes into a positive-energy state; (b) one nucleon exchanges a 𝜌 meson with a pion; (c) one nucleon is scattered into an 𝑁* (nucleon ჼ) Δ⁡(1236). We then proceed to evaluate the contribution of this three-body potential to the binding energy of the triton using a variational triton wave function. It is found that the two-pion-exchange three-body potential gives a significant contribution (2.32 MeV) to the binding energy of a triton.

NUCLEAR STRUCTURE
3 He,
3 H; calculated contribution of three-body force to binding energy.