Incoherent pion photoproduction on the deuteron with polarization observables. II. Influence of final state rescattering

Abstract

Incoherent pion photoproduction on the deuteron is studied for photon energies from threshold up to 1 GeV, with special emphasis on polarization observables. The elementary $\ensuremath{\gamma}N\ensuremath{\rightarrow}\ensuremath{\pi}N$ amplitude is taken from the MAID model. We investigate the influence of final state interactions on total and semi-exclusive cross sections $\stackrel{\ensuremath{\rightarrow}}{d}(\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\gamma}},\ensuremath{\pi})\mathit{NN}$ by including complete rescattering in the final NN and $\ensuremath{\pi}N$ subsystems. For charged-pion production the influence of NN rescattering is moderate whereas $\ensuremath{\pi}N$ rescattering is almost negligible. Much stronger influences of NN rescattering are seen in neutral-pion production, which are due to the elimination of a significant spurious coherent contribution in the impulse approximation. Sizable effects are also found in some of the beam, target, and beam-target asymmetries of the differential cross section.