Two-pion-exchange three-nucleon potential: Partial wave analysis in momentum space

We present the complete momentum space three-nucleon potential of the two-pion-exchange type in the partial wave decomposition needed for the Faddeev equations of the three-nucleon bound state. The potential arises from an off-mass-shell model for πN scattering based upon current algebra and a dispersion-theoretical axial vector amplitude dominated by the Δ(1230) isobar. The potential is manifestly Hermitian and defined for all three nucleon momenta. We display some matrix elements of the potential in the five three-body partial waves corresponding to the ¹S₀ and ³S₁-³D₁ states of the two-body subsystem. These matrix elements show a striking contrast to those of an older three-body potential mediated only by the Δ(1230) p-wave resonance.NUCLEAR STRUCTURE Three-body potential; few-nucleon system, Faddeev approach, partial wave decomposition in Jacobi variables.