Strong decays of the explicitly exotic doubly charmed $DDK$ bound state

Nowadays, it is generally accepted that the DK interaction in isospin zero is strongly attractive, and the Ds0*(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 Ds0*(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 DDsπ 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.