Revisiting gauge invariance and Reggeization of pion exchange

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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>J</a:mi><a:mo>≥</a:mo><a:mn>2</a:mn></a:math> in the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>t</c:mi></c:math> channel is analytic at <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>J</e:mi><e:mo>=</e:mo><e:mn>0</e:mn></e:math> and that it can be interpreted in terms of the nucleon electric current. This enables us to reconcile the dynamics in the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>s</g:mi></g:math> and <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>u</i:mi></i:math> channel, which involves also nucleon exchanges, with the amplitude expressed in terms of <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mi>t</k:mi></k:math>-channel partial waves, as required by Regge theory. Published by the American Physical Society 2024

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2024-12-06
DOI
https://doi.org/10.1103/physrevd.110.114012
Citations
3
Primary Topic
Particle physics theoretical and experimental studies
Type
article
Field-Weighted Citation Impact
1.98

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article

Revisiting gauge invariance and Reggeization of pion exchange

C. Fernández-Ramírez, N. Hammoud, W. A. Smith, Łukasz Bibrzycki et al.
3 citations
Physical review. D/Physical review. D.
Particle physics theoretical and experimental studies
1.98
article

Revisiting gauge invariance and Reggeization of pion exchange

C. Fernández-Ramírez, N. Hammoud, W. A. Smith, Łukasz Bibrzycki, V. Mathieu, D. Winney, A. Rodas, Glòria Montaña, Vanamali Shastry, Robert J. Perry, Adam P. Szczepaniak, A. Pilloni, G. Fóti
article en
3 citations

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 a generic even spin <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>J</a:mi><a:mo>≥</a:mo><a:mn>2</a:mn></a:math> in the <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>t</c:mi></c:math> channel is analytic at <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mi>J</e:mi><e:mo>=</e:mo><e:mn>0</e:mn></e:math> and that it can be interpreted in terms of the nucleon electric current. This enables us to reconcile the dynamics in the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mi>s</g:mi></g:math> and <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>u</i:mi></i:math> channel, which involves also nucleon exchanges, with the amplitude expressed in terms of <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mi>t</k:mi></k:math>-channel partial waves, as required by Regge theory. Published by the American Physical Society 2024

Physical review. D/Physical review. D.Vol. 110(11)
University of Messina (IT), Jagiellonian University (PL), University of Bonn (DE), Lawrence Berkeley National Laboratory (US), Universidad Nacional de Educación a Distancia (ES), George Washington University (US), University of California System (US), Thomas Jefferson National Accelerator Facility (US), Dominion University College (GH), Institut Català de Ciències del Clima (ES), Istituto Nazionale di Fisica Nucleare, Sezione di Catania (IT), Indiana University Bloomington (US), Institut de Ciències del Cosmos (ES), Indiana University (US), AGH University of Krakow (PL), Universitat de Barcelona (ES), Old Dominion University (US), University of California, Berkeley (US)
U.S. Department of Energy, Strong, Ministerio de Ciencia, Innovación y Universidades, Horizon 2020 Framework Programme, Agencia Estatal de Investigación, Thomas Jefferson National Accelerator Facility
Life in Land
Openalex Percentile: Top 8%
Particle physics theoretical and experimental studies
1.98
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