English

Structure of Pion Photoproduction Amplitudes

High Energy Physics - Phenomenology 2018-08-08 v1

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.

Keywords

Cite

@article{arxiv.1806.08414,
  title  = {Structure of Pion Photoproduction Amplitudes},
  author = {V. Mathieu and J. Nys and C. Fernandez-Ramirez and A. N. Hiller Blin and A. Jackura and A. Pilloni and A. P. Szczepaniak and G. Fox},
  journal= {arXiv preprint arXiv:1806.08414},
  year   = {2018}
}

Comments

19 pages, 15 figures and 4 tables