Toward a unified description of hadron scattering at all energies

Stamen, D.; Winney, D.; Rodas, A.; Fernández-Ramírez, C.; Mathieu, V.; Montaña, G.; Pilloni, A.; Szczepaniak, A. P.

doi:10.1103/PhysRevD.110.114023

Toward a unified description of hadron scattering at all energies

Journal Article · Mon Dec 16 00:00:00 EST 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.110.114023· OSTI ID:2481393

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The construction of general amplitudes satisfying symmetries and $S$ -matrix constraints has been the primary tool in studying the spectrum of hadrons for over half a century. In this work, we present a new parametrization, which can fulfill many expectations of $S$ -matrix and Regge theory and connects the essential physics of hadron scattering in the resonance region and in asymptotic limits. In this construction, dynamical information is entirely contained in Regge trajectories that generalize resonance poles in the complex energy plane to moving poles in the angular momentum plane. We highlight the salient features of the model, compare with existing literature on dispersive and dual amplitudes, and benchmark the formalism with an initial numerical application to the $ρ$ and $σ / f_{0} (500)$ mesons in $π π$ scattering.

Published by the American Physical Society 2024

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: Spanish Ministerio de Ciencia, Innovación y Universidades (MICIU); USDOE

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

OSTI ID:: 2481393

Alternate ID(s):: OSTI ID: 2482129

Report Number(s):: DOE/OR/23177-7666; JLAB-THY--24-4182; 114023

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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