Three-particle formalism for multiple channels: the ηππ + K Kπ system in isosymmetric QCD
arxiv(2024)
摘要
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 Kπ 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 (KKπ) threshold. We also present
parametrizations of the three-particle K matrices that enter into the
formalism.
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