Document Type

Article

Publication Date

2024

DOI

10.1103/PhysRevD.110.114023

Publication Title

Physical Review D

Volume

110

Issue

11

Pages

114023 (1-28)

Abstract

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/𝑓0⁡(500) mesons in 𝜋⁢𝜋 scattering.

Rights

© 2024 The Authors.

Published under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Further distribution of this work must maintain attribution to the authors and the published article's title, journal citation, and DOI. Funded by SCOAP3.

Original Publication Citation

Stamen, D., Winney, D., Rodas, A., Fernández-Ramírez, C., Mathieu, V., Montaña, G., Pilloni, A., & Szczepaniak, A. P. (2024). Toward a unified description of hadron scattering at all energies. Physical Review C, 110(11), 1-28, Article 114023. https://doi.org/10.1103/PhysRevD.110.114023

ORCID

0000-0003-2702-5286 (Rodas)

Download

Share

COinS