Incoherent pion photoproduction on the deuteron with polarization observables I: Formal expressions

Abstract

Formal expressions are developed for the general five-fold differential cross section of incoherent $\pi$-photoproduction on the deuteron including beam and target polarization. The polarization observables of the cross section are described by various beam, target and beam-target asymmetries for polarized photons and/or polarized deuterons. They are given as bilinear hermitean forms in the reaction matrix elements divided by the unpolarized cross section. In addition, the corresponding observables for the semi-exclusive reaction $\vec{d}(\vec{\gamma },\pi )NN$ are also given.

arXiv comment11 pages, 1 figure

References in corpus (9)

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• Spin observables for pion photoproduction on the deuteron in the $\Delta$(1232)-resonance region
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• Influence of $NN$-rescattering effect on the photon asymmetry of $d(\vec{\gamma },{\pi }^{-})pp$ reaction

Cited by in corpus (11)

• Photoproduction of eta-mesons on the deuteron above S11(1535) in the presence of a narrow P11(1670) resonance
• Incoherent pion photoproduction on the deuteron in the first resonance region
• On the Extraction of Cross Sections for pi0 and eta Photoproduction off Neutrons from Deuteron Data
• Polarization observables in ${\pi }^0\eta$-photoproduction on the proton
• On the Photoproduction Reactions $\gamma d\to \pi NN$
• Helicity-dependent reaction \vec γ\vec d\to πNN and its contribution to the GDH sum rule for the deuteron
• Incoherent single pion electroproduction on the deuteron with polarization effects
• Lambda-N scattering length from the reaction gamma d -> K^+ Lambda n
• The role of pion exchange in $\eta$ meson photo production on the deuteron
• Photoproduction of ${\pi }^0$-Mesons on the Nucleon and Deuteron
• Contribution of single pion electroproduction to the generalized Gerasimov-Drell-Hearn sum rule for the deuteron