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Publication Information
Title A unitary coupled-channel three-body amplitude with pions and kaons
Abstract 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, re-arranging 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 f0(500) (????), f0(980), ?(700),K? 0 (700) (????), and K?(892) resonances are included, apart from repulsive isobars. Different methods to evaluate the amplitude for physical momenta are discussed. Production amplitudes for a1 quantum numbers are shown as a proof of principle for the numerical implementation.
Author(s) Yuchuan Feng, Fernando Gil, Michael Doring, Raquel Molina Peralta, Maxim Mai, Vanamali Shastry, Adam Szczepaniak
Publication Date November 2024
Document Type Journal Article
Primary Institution Thomas Jefferson National Accelerator Facility, Newport News
Affiliation Theory & Comp Physics / THEORY CENTER / THEORY CENTER
Funding Source Nuclear Physics (NP)
Proprietary? No
This publication conveys Technical Science Results
Document Numbers
JLAB Number: JLAB-THY-24-4107 OSTI Number: 2476792
LANL Number: arXiv:2407.08721 Other Number: DOE/OR/23177-7544
Associated with an experiment No
Associated with EIC No
Supported by Jefferson Lab LDRD Funding No
Journal Article
Journal Name Physical Review D
Refereed No
Volume 110
Issue
Page(s) 094002
Attachments/Datasets/DOI Link
Document(s)
3BpiK-3.pdf (STI Document)
2407.08721v2.pdf (Accepted Manuscript)
DOI Link
Dataset(s) (none)
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