English

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

High Energy Physics - Phenomenology 2022-02-23 v1 High Energy Physics - Experiment Nuclear Theory

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 KKKˉKK\bar K system allowing for the emergence of the a0(980)a_0(980) and the f0(980)f_0(980) as hadronic molecules. For simplicity all inelastic channels are switched off.

Keywords

Cite

@article{arxiv.2107.03168,
  title  = {Remarks on non-perturbative three--body dynamics and its application to the $KK\bar K$ system},
  author = {Xu Zhang and Christoph Hanhart and Ulf-G. Meißner and Ju-Jun Xie},
  journal= {arXiv preprint arXiv:2107.03168},
  year   = {2022}
}