https://doi.org/10.1140/epja/s10050-021-00661-y
Regular Article - Theoretical Physics
Remarks on non-perturbative three–body dynamics and its application to the 
system
1
Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, Forschungszentrum Jülich, 52425, Jülich, Germany
2
Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
3
School of Nuclear Science and Technology, University of Chinese Academy of Sciences, 101408, Beijing, China
4
Helmholtz-Institut für Strahlen-und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, 53115, Bonn, Germany
5
Tbilisi State University, 0186, Tbilisi, Georgia
6
School of Physics and Microelectronics, Zhengzhou University, 450001, Zhengzhou, Henan, China
Received:
10
August
2021
Accepted:
30
December
2021
Published online:
6
February
2022
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 system allowing for the emergence of the 
and the 
as hadronic molecules. For simplicity all inelastic channels are switched off.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
