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.

arXiv comment10 pages, 6 figures

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• Double heavy tri-hadron bound state via delocalized $\pi$ bond
• On the binding of the $BD\bar{D}$ and $BDD$ systems
• Faddeev fixed-center approximation to the $D\bar{D}K$ system and the hidden charm $K_{c\bar{c}}(4180)$ state
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• Possible bound states with hidden bottom from ${\bar{K}}^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ systems
• Tri-meson bound state $BB{B}^{\ast }$ via delocalized $\pi$~Bond
• Prediction of new states from $D^{(\ast )}{B}^{(\ast )}{\bar{B}}^{(\ast )}$ three-body interactions
• On the two-body decay processes of the predicted three-body $K^{\ast }(4307)$ resonance
• Faddeev fixed-center approximation to the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$ and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems
• Dynamically generated states from the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$, and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems within the fixed-center approximation
• $N^{\ast }$ states with hidden charm and a three-body nature
• Prospects for compact hexaquarks under the limitation imposed by quark confinement