Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature

Abstract

We study the interaction of two $D^{\ast }$ and a ${\bar{K}}^{\ast }$ by using the Fixed Center Approximation to the Faddeev equations to search for bound states of the three body system. Since the $D^{\ast }{D}^{\ast }$ interaction is attractive and gives a bound state, and so is the case of the $D^{\ast }{\bar{K}}^{\ast }$ interaction, where the $J^P=0^{+}$ bound state is identified with the $X_0(2900)$, the $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ system leads to manifestly exotic bound states with $ccs$ open quarks. We obtain bound states of isospin $I=1/2$, negative parity and total spin $J=0,1,2$. For $J=0$ we obtain one state, and for $J=1,2$ we obtain two states in each case. The binding energies range from $56$ MeV to $151$ MeV and the widths from $80$ MeV to $100$ MeV.

19 pages, 7 figures, 1 table, version published in Phys Rev D

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Cited by in corpus (6)

• Predictions of super-exotic heavy mesons from $K^{\ast }{B}^{\ast }{B}^{\ast }$ interactions
• 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
• Exotic hadrons associated with $b$-quark
• Prospects for compact hexaquarks under the limitation imposed by quark confinement
• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity