Three-particle formalism for multiple channels: the ηππ + K K ¯ π $$ K\overline{K}\pi $$ system in isosymmetric QCD

Autor: Zachary T. Draper, Stephen R. Sharpe
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 7, Pp 1-48 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP07(2024)083
Popis: Abstract We generalize previous three-particle finite-volume formalisms to allow for multiple three-particle channels. For definiteness, we focus on the two-channel ηππ and K K ¯ π $$ K\overline{K}\pi $$ system in isosymmetric QCD, considering the positive G parity sector of the latter channel, and neglecting the coupling to modes with four or more particles. The formalism we obtain is thus appropriate to study the b 1(1235) and η(1295) resonances. The derivation is made in the generic relativistic field theory approach using the time-ordered perturbation theory method. We study how the resulting quantization condition reduces to that for a single three-particle channel when one drops below the upper ( K K ¯ π $$ K\overline{K}\pi $$ ) threshold. We also present parametrizations of the three-particle K matrices that enter into the formalism.
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