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Title A unitary coupled-channel three-body amplitude with pions and kaons
Authors Yuchuan Feng, Fernando Gil, Michael Doring, Raquel Molina Peralta, Maxim Mai, Vanamali Shastry, Adam Szczepaniak
JLAB number JLAB-THY-24-4107
LANL number arXiv:2407.08721
Other number DOE/OR/23177-7544
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Physical Review D
Volume 110
Page(s) 094002
Publication 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.
Experiment Numbers:
Group: THEORY CENTER
Document: pdf
DOI: https://doi.org/10.1103/PhysRevD.110.094002
Accepted Manuscript: 2407.08721v2.pdf
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