Nowadays, it is generally accepted that the $DK$ interaction in isospin zero is strongly attractive, and the $D_{s0}^{*}(2317)$ can be described as a $DK$ molecular state. Recent studies have shown that the three-body $DDK$ system binds as well with a binding energy about 60–70 MeV. The $DDK$ bound state has an isospin of $1/2$ and a spin-parity of $0^{-}$. If discovered either experimentally or in lattice QCD, it will not only provide further support for the molecular nature of the $D_{s0}^{*}(2317)$, but also provide a way to understand other exotic hadrons expected to be of a molecular nature. In the present work, we study its two-body strong decay widths via triangle diagrams. We find that the partial decay width into $D{D}_s\pi$ is at the order of 2–3 MeV, which seems to be within the reach of the current experiments such as Belle II. As a result, we strongly recommend that this decay channel of the $DDK$ bound state is searched for experimentally.

• Received 23 September 2019

DOI:https://doi.org/10.1103/PhysRevD.101.014022

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society