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.