7-12 June 2018
Auditorium Maximum
Europe/Warsaw timezone
15th International Workshop on Meson Production, Properties and Interaction
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Contribution parallel talk

Auditorium Maximum - Medium lecture hall (B)

Partial wave analysis of pion production with fixed-t analyticity and finite energy sum rules

Speakers

  • Mikhail GORSHTEYN

Primary authors

Abstract content

I present partial wave analysis for pion photoproduction based on a dual representation: the high-energy Regge background is smoothly continued into the resonance region by means of an energy-dependent suppression factor, the resonances in the $s$-channel and Born contribution are added on top. This representation allows for a natural and economical way to incorporate the fixed-$t$ analyticity. The lowest multipoles are unitarized using $\pi-N$ phases and inelasticities, and exact balance between the resonance parameters and the background is achieved by means of finite energy sum rules which ensure matching between the two. A crucial ingredient in this analysis is the use of saturated Regge trajectories that allow for a matching of the Regge asymptotics that is an essentially forward phenomenon, and wide-angle scattering regime that is governed by quark exchange and has a different scaling behavior.