Document Type
Article
Publication Date
6-2022
DOI
10.1103/PhysRevD.105.114510
Publication Title
Physical Review D
Volume
105
Issue
11
Pages
114510 (1-31 pp.)
Abstract
We derive the on-shell form of amplitudes containing two external currents with a single hadron in the initial state and two hadrons in the final state, denoted as 1 + J → 2 + J . This class of amplitude is relevant in precision tests of the Standard Model as well as for exploring the structure of excited states in the QCD spectrum. We present a model-independent description of the amplitudes where we sum to all orders in the strong interaction. From this analytic form we are able to extract transition and elastic resonance form factors consistent with previous work as well as a novel Compton-like amplitude coupling a single particle state to a resonance. The results also hold for reactions where the one-particle state is replaced with the vacuum, namely J → 2 + J amplitudes.We also investigate constraints placed upon the formalism for the case of a conserved vector current in the form of the Ward-Takahashi identity. The formalism presented here is valid for currents of arbitrary Lorentz structure and quantum numbers with spinless hadrons where any number of two-particle intermediate channels may be open. When combined with the appropriate finite-volume framework, this work facilitates the extraction of physical observables from this class of amplitudes via lattice QCD calculations.
Original Publication Citation
Sherman, K. H., Ortega-Gama, F. G., Briceño, R. A., & Jackura, A. W. (2022). Two-current transition amplitudes with two-body final states. Physical Review D 105(11), Article 114510. https://doi.org/10.1103/PhysRevD.105.114510
ORCID
0000-0003-1109-1473 (Briceño)
Repository Citation
Sherman, Keegan H.; Ortega-Gama, Feliipe G.; Briceño, Raúl A.; and Jackura, Andrew W., "Two-Current Transition Amplitudes with Two-Body Final States" (2022). Physics Faculty Publications. 590.
https://digitalcommons.odu.edu/physics_fac_pubs/590
Comments
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.