Partial wave decomposition of pion and photoproduction amplitudes

Abstract

Partial wave amplitudes for production and decay of baryon resonances are constructed in the framework of the operator expansion method. The approach is fully relativistically invariant and allow us to perform combined analyses of different reactions imposing directly analyticity and unitarity constraints. All formulas are given explicitly in the form used by the Crystal Barrel collaboration in the (partly forthcoming) analyses of the electro-, photo- and pion induced meson production data.

arXiv comment18 pages, 5 figures

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• Photoproduction of pions and properties of baryon resonances from a Bonn-Gatchina partial wave analysis
• Partial wave analysis of the reaction gamma p -> p omega$ and the search for nucleon resonances
• Beam-Recoil Polarization Transfer in the Nucleon Resonance Region in the Exclusive $\vec{e}p\to e^{\prime }{K}^{+}\vec{\Lambda }$ and $\vec{e}p\to e^{\prime }{K}^{+}{\vec{\Sigma }}^0$ Reactions at CLAS
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• Photoproduction of meson pairs: First measurement of the polarization observable I^s
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• Electroproduction of p π^{+} π^{-} off protons at 0.2<Q^{2}<0.6 GeV^{2} and 1.3<W<1.57 GeV with CLAS
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• Electromagnetic Transition Form Factors of Baryon Resonances
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• Study of the proton-proton collisions at 1683 MeV/c
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