Abstract
Multiple-scattering corrections to the impulse approximation are calculated for the scattering of ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$ mesons by deuterons. These corrections are model-dependent since the scattered wave propagates off the energy shell between the first and last scatterings whereas experimental scattering phase shifts are available only for elastic scattering. Various assumptions are made concerning the off-the-energy-shell behavior of the scattering amplitudes and the double-scattering approximation is analyzed for meson energies of 45 Mev and 169 Mev. The results are tabulated and are found to be sensitive to the different scattering models. The cross sections at 169 Mev were calculated with both the Fermi and Bethe solutions for the meson-nucleon scattering phase shifts and are in close agreement. It thus does not seem to be feasible to use ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$-D scattering as a means of distinguishing between these two solutions.
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