• Open Access

Structure of pion photoproduction amplitudes

V. Mathieu, J. Nys, C. Fernández-Ramírez, A. N. Hiller Blin, A. Jackura, A. Pilloni, A. P. Szczepaniak, and G. Fox (Joint Physics Analysis Center)
Phys. Rev. D 98, 014041 – Published 31 July 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.

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  • Received 27 June 2018

DOI:https://doi.org/10.1103/PhysRevD.98.014041

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

V. Mathieu1,*, J. Nys2, C. Fernández-Ramírez3, A. N. Hiller Blin4, A. Jackura5,6, A. Pilloni1, A. P. Szczepaniak5,6,1, and G. Fox7 (Joint Physics Analysis Center)

  • 1Theory Center, Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA
  • 2Department of Physics and Astronomy, Ghent University, Ghent 9000, Belgium
  • 3Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Ciudad de México 04510, Mexico
  • 4Institut für Kernphysik & PRISMA Cluster of Excellence, Johannes Gutenberg Universität, D-55099 Mainz, Germany
  • 5Center for Exploration of Energy and Matter, Indiana University, Bloomington, Indiana 47403, USA
  • 6Physics Department, Indiana University, Bloomington, Indiana 47405, USA
  • 7School of Informatics and Computing, Indiana University, Bloomington, Indiana 47405, USA

  • *vmathieu@jlab.org

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Issue

Vol. 98, Iss. 1 — 1 July 2018

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