English

Revisiting gauge invariance and Reggeization of pion exchange

High Energy Physics - Phenomenology 2024-07-30 v1 Nuclear Theory

Abstract

The Reggeized pion is expected to provide the main contribution to the forward cross section in light meson photoproduction reactions with charge exchange at high energies. We discuss the Reggeization of pion exchange in charged pion photoproduction with an emphasis on consistency with current conservation. We show that the gauge-invariant amplitude for the exchange of a particle with generic even spin J2J\geq 2 in the tt-channel is analytic at J=0J=0, and that it can be interpreted in terms of the nucleon electric current. This enables us to reconcile the dynamics in the ss- and uu-channel, which involves also nucleon exchanges, with the amplitude expressed in terms of tt-channel partial waves, as required by Regge theory.

Keywords

Cite

@article{arxiv.2407.19577,
  title  = {Revisiting gauge invariance and Reggeization of pion exchange},
  author = {Gloria Montana and Daniel Winney and Lukasz Bibrzycki and Cesar Fernandez-Ramirez and Giorgio Foti and Nadine Hammoud and Vincent Mathieu and Robert J. Perry and Alessandro Pilloni and Arkaitz Rodas and Vanamali Shastry and Wyatt A. Smith and Adam P. Szczepaniak},
  journal= {arXiv preprint arXiv:2407.19577},
  year   = {2024}
}

Comments

16 pages, 4 figures