  Incoherent photoproduction of pions on the deuteron in the Delta(1232)
resonance region is investigated in order to study the influence of final state
NN and PiN rescattering. For the elementary production 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. We
found that the influence of rescattering effects on total and differential
cross sections is significant. Inclusion of such effects leads to an improved
and quite satisfactory agreement with experiment. Since several experiments to
measure the spin asymmetry of the total photoabsorption cross section, which
determines the GDH sum rule, are now being performed or planned at different
laboratories, the contribution of incoherent pion photoproduction to the spin
asymmetry for the deuteron is evaluated with inclusion of NN and PiN
rescattering contributions. The effect of final state rescattering on the spin
asymmetry for the deuteron is found to be quite important and should be
included in forthcoming theoretical studies.
