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Remarks on non-perturbative three--body dynamics and its application to the $KK\bar K$ system

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arxiv 2107.03168 v1 pith:PHSE6QNK submitted 2021-07-07 hep-ph hep-exnucl-th

Xu Zhang , Christoph Hanhart , Ulf-G. Mei{ss}ner , Ju-Jun Xie This is my paper
classification hep-phhep-exnucl-th
keywords formalismsystemallowingallowsanalyticanalyticityapplicationapplied
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abstract

A formalism is discussed that allows for a straightforward treatment of the relativistic three-body problem while keeping the correct analytic structure. In particular it is demonstrated that sacrificing covariance for analyticity can be justified by the hierarchy of different contributions in the spirit of an effective field theory. For definiteness the formalism is applied to the $KK\bar K$ system allowing for the emergence of the $a_0(980)$ and the $f_0(980)$ as hadronic molecules. For simplicity all inelastic channels are switched off.

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Cited by 1 Pith paper

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  1. The $a_1(1420)$ in a Unitary Coupled-Channel Three-Body Approach

    hep-ph 2026-06 unverdicted novelty 6.5 of 10

    Unitary coupled-channel three-body model fitted to COMPASS data reproduces the a1(1420) enhancement via triangle singularity, indicating no genuine resonance pole is required.

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