Nuclear applications of ANL-Osaka amplitudes: pion photo-productions on deuteron

The Argonne National Laboratory-Osaka University (ANL-Osaka) amplitudes (http://www.phy.anl.gov/theory/research/anl-osaka-pwa/) are applied to study pion photo-production reactions on the deuteron target. Within the multiple scattering formulation, we predict the cross sections of $d(\gamma,\pi)NN$ in the nucleon resonance region. The calculations include the impulse term and the final-state interaction (FSI) terms due to pion-exchange and nucleon-exchange. We show that the off-shell effects, calculated from the meson-exchange mechanisms, on the propagations of the exchanged nucleon and pion are significant in determining the reaction amplitudes. The FSI effects on the predicted cross sections are found to be important at energies near the $\Delta$(1232) resonance, and are still significant at higher energies. The results are in good agreement with most of the available data of $d(\gamma,\pi^0)np$ and $d(\gamma,\pi^-)pp$ reactions.