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.
Structure of pion photoproduction amplitudes / Mathieu, V.; Nys, J.; Fernández-Ramírez, C.; Blin, A. N. Hiller; Jackura, A.; Pilloni, A.; Szczepaniak, A. P.; Fox, G.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - STAMPA. - 98:1(2018). [10.1103/PhysRevD.98.014041]
Structure of pion photoproduction amplitudes
Pilloni, A.;
2018
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.File | Dimensione | Formato | |
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