Unitary coupled-channel three-body amplitude with pions and kaons
Three-body dynamics above threshold is required for the reliable extraction of many amplitudes and resonances from experiment and lattice QCD. The S-matrix principle of unitarity can be used to construct dynamical coupled-channel approaches in which three particles scatter off each other, rearranging two-body subsystems by particle exchange. This paper reports the development of a three-body coupled-channel, amplitude including pions and kaons. The unequal-mass amplitude contains two-body S- and P-wave subsystems (``isobars'') of all isospins, $I=0,1/2,1,3/2,2$, and it also allows for transitions within a given isobar. The ${f}_{0}(500)(\ensuremath{\sigma}),{f}_{0}(980),\ensuremath{\rho}(700),{K}_{0}^{*}(700)(\ensuremath{\kappa})$, and ${K}^{*}(892)$ resonances are included, apart from repulsive isobars. Different methods to evaluate the amplitude for physical momenta are discussed. Production amplitudes for ${a}_{1}$ quantum numbers are shown as a proof of principle for the numerical implementation.
Authors
- M. Döring (ORCID: https://orcid.org/0000-0002-2676-5517)
- R. Molina (ORCID: https://orcid.org/0000-0001-9427-240X)
- F. Gil-Domínguez (ORCID: https://orcid.org/0000-0002-7741-6966)
- Maxim Mai (ORCID: https://orcid.org/0000-0003-0119-0718)
- Vanamali Shastry (ORCID: https://orcid.org/0000-0003-1296-8468)
- Adam P. Szczepaniak (ORCID: https://orcid.org/0000-0002-4156-5492)
- Yuchuan Feng (ORCID: https://orcid.org/0000-0001-8317-664X)
Institutions
- University of Bern (CH)
- Consejo Superior de Investigaciones Científicas (ES)
- University of Bonn (DE)
- George Washington University (US)
- Thomas Jefferson National Accelerator Facility (US)
- Indiana University Bloomington (US)
- Indiana University (US)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2024-11-04
- DOI
- https://doi.org/10.1103/physrevd.110.094002
- Citations
- 8
- Primary Topic
- Quantum Chromodynamics and Particle Interactions
- Type
- article
- Field-Weighted Citation Impact
- 5.28
Funders
- National Science Foundation
- U.S. Department of Energy
- European Commission
- Deutsche Forschungsgemeinschaft
- Bundesministerium für Bildung und Forschung
- Ministerio de Economía y Competitividad
- Generalitat Valenciana
- Thomas Jefferson National Accelerator Facility