π° photoproduction on quasi-free neutrons in the reactionγd→π°np in theΔ region

Abstract

The possibility of obtaining information about the reactionγn→π°n in theΔ resonance region from the reactionγd→π°np is analyzed. To this aim, the differential cross sectionsd ³ σ/dE _n dΩ _π dΩ _n both for unpolarized particles and in case of polarized photons and deuterons as well as the asymmetryΣ for linearly-polarized photons are calculated at photon energies from 250 to 400 MeV in the diagrammatic approach. The contributions from the pole diagrams as well as one-loop diagrams both withn-p andπ-N-rescattering are taken into account. The main contribution to the differential cross sections ofπ° photoproduction on the neutron in the quasi-free kinematics arises from the neutron pole diagram. The correction due ton-p rescattering decreases with increasing pion angle and becomes to be less than 8% atΘ _π ≥ 90°. The contributions of the proton pole diagram and the one ofπ-N rescattering were found to be negligible. Background effects are more pronounced in the case of the asymmetryΣ. However, they are also strongly suppressed in the neutron quasi-free kinematics at photon energies above 300 MeV.