Effect of reflections in pion-deuteron scattering

We compare the solutions of the Faddeev equations for pion-deuteron scattering, with and without the reflection terms in which the pion is allowed to scatter back and forth between the two nucleons. We show that in the resonance region, the effect of these terms in the differential cross section is less than 20%. We point out that the Faddeev equations without reflections, reduce to a Lippmann-Schwinger equation with a pion-deuteron effective potential. We also point out that the pole approximation to the nucleon-nucleon T matrix is not a very good approximation. NUCLEAR REACTIONS π-d scattering, reflection terms; calculated dσdΩ, E=142, 181, and 228 MeV.