Study of the $DKK$ and $DK\bar{K}$ systems

Using the Fixed Center Approximation to Faddeev equations we have investigated the $DKK$ and $DK\bar{K}$ three-body systems, considering that the $D_{s0}^{\ast }(2317)$ acts as the heavy cluster in both cases, generated from the $DK$ interaction in isospin 0. For the $DK\bar{K}$ system we have found evidence of a state with $I(J^P)=1\mathrm{/}2(0^{-})$ and mass about $2833-2858$ MeV, above the threshold of $D_{s0}^{\ast }(2317)\bar{K}$. Our results indicate that this state is dominated by a $D{f}_0(980)$ component, then it could be searched for in the $\pi \pi D$ invariant mass. On the other hand, no clear evidence related to a state from the $DKK$ interaction is found.