Abstract
We present a unitary, Lorentz-invariant three-body calculation of pion-deuteron elastic scattering, based upon the idea of quasiparticle-dominated two-body interactions. We make detailed comparisons of these results with those of a conventional fixed-scatterer approach and find that the fixed-nucleon calculation does not adequately reproduce the three-body results, demonstrating the importance of properly treating the three-body kinematics (i.e., of including nucleon recoil and isobar propagation). The multiple scattering expansion converges much more rapidly in the three-body approach than in the fixed-scatterer calculation. Intermediate nucleon-nucleon interactions play an important role, giving contributions to the scattering amplitude of the same order as those given by pion multiple scattering; these effects are especially significant for back-angle scattering. Finally, we compare our results with the available experimental data for the $\ensuremath{\pi}d$ total and integrated elastic cross sections and obtain good agreement. Nucleon spin is neglected in all calculations.NUCLEAR REACTIONS $^{2}\mathrm{H}(\ensuremath{\pi},\ensuremath{\pi})$, $E=80\ensuremath{-}240$ MeV; relativistic three-body calculation of elastic scattering.
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