Influence of final-state interaction on incoherent pion photoproduction on the deuteron in the region of the $\mth{\Delta}$-resonance

The influence of final-state $NN$ and $\pi N$ rescattering in incoherent pion photoproduction on the deuteron has been investigated. For the elementary photoproduction operator an effective Lagrangian model is used which describes well the elementary reaction. The interactions in the final two-body subsystems are taken in separable form. While $NN$ rescattering shows quite a significant effect, particularly strong for neutral pion production, $\pi N$ rescattering is almost negligible. Inclusion of such effects leads to an improved and quite satisfactory agreement with experiment