Rescattering effects in incoherent photoproduction of pi-mesons off deuterium in the Delta(1232) resonance region

Abstract

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.