Revisiting gauge invariance and Reggeization of pion exchange

Montaña, Glòria; Winney, Daniel; Bibrzycki, Łukasz; Fernández-Ramírez, César; Foti, Giorgio; Hammoud, Nadine; Mathieu, Vincent; Perry, Robert J.; Pilloni, Alessandro; Rodas, Arkaitz; Shastry, Vanamali; Smith, Wyatt A.; Szczepaniak, Adam P.

doi:10.1103/PhysRevD.110.114012

Title: Revisiting gauge invariance and Reggeization of pion exchange

Journal Article · 05 December 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.114012 · OSTI ID:2480383

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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 a generic even spin $J \geq 2$ in the $t$ channel is analytic at $J = 0$ and that it can be interpreted in terms of the nucleon electric current. This enables us to reconcile the dynamics in the $s$ and $u$ channel, which involves also nucleon exchanges, with the amplitude expressed in terms of $t$ -channel partial waves, as required by Regge theory. Published by the American Physical Society 2024

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Research Organization:: Indiana University, Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: EU STRONG-2020; Spanish Ministerio de Ciencia, Innovación y Universidades (MICIU); USDOE; USDOE Office of Science (SC)

Contributing Organization:: Joint Physics Analysis Center Collaboration

Grant/Contract Number:: AC05-06OR23177; FG02-87ER40365; SC0023598

OSTI ID:: 2480383

Report Number(s):: DOE/OR/23177--7573; JLAB-THY--24-4129; 114012

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 11 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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