Bound state formation in the $DDK$ system

We study the $DDK$ system in a coupled channel approach, by including $D{D}_s\eta$ and $D{D}_s\pi$, and find that the dynamics involved in the system forms a bound state with isospin $1\mathrm{/}2$ and mass $4140$ MeV when one of the $DK$ pair is resonating in isospin 0, forming the $D_{s0}^{\ast }(2317)$. The state can be interpreted as a $D{D}_{s0}^{\ast }(2317)$ molecule like state with exotic quantum numbers: doubly charged, doubly charmed, and with single strangeness.