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

Abstract

Using the Fixed Center Approximation to Faddeev equations we have investigated the $DKK$ and $DK\bar{K}$ three-body systems, considering that the $DK$ dynamically generates, through its $I=0$ component, the $D_{s0}^{\ast }(2317)$ molecule. According to our findings, for $DK\bar{K}$ interaction we have found an evidence of a state $I(J^P)=1/2(0^{-})$ just above the $D_{s0}^{\ast }(2317)\bar{K}$ threshold and around the $D{f}_0(980)$ thresholds, with mass about $2833-2858$ MeV, made mostly of $D{f}_0(980)$. On the other hand, no evidence related to a state from the $DKK$ interaction is found. The state found could be seen in the $\pi \pi D$ invariant mass.

Comments: 10 pages, 6 figures