Structure of Pion Photoproduction Amplitudes

Abstract

We derive and apply the finite energy sum rules to pion photoproduction. We evaluate the low energy part of the sum rules using several state-of-the-art models. We show how the differences in the low energy side of the sum rules might originate from different quantum number assignments of baryon resonances. We interpret the observed features in the low energy side of the sum rules with the expectation from Regge theory. Finally, we present a model, in terms of a Regge-pole expansion, that matches the sum rules and the high-energy observables.

arXiv comment19 pages, 15 figures and 4 tables

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Cited by in corpus (7)

• Novel approaches in Hadron Spectroscopy
• Eta and Etaprime Photoproduction on the Nucleon with the Isobar Model EtaMAID2018
• Exclusive tensor meson photoproduction
• Global analysis of charge exchange meson production at high energies
• ${\pi }^{-}p\to {\eta }^{(\prime )}{\pi }^{-}p$ in the double-Regge region
• Regge phenomenology of the $N^{\ast }$ and ${\Delta }^{\ast }$ poles
• Photoproduction of $\eta$ mesons off the proton for $1.2<E_{\gamma }<4.7$ GeV using CLAS at Jefferson Laboratory