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Molecular states of ${D}^{*}{D}^{*}{\overline{K}}^{*}$ nature

   Ikeno, N.; Bayar, M.; Oset, E.

We study the interaction of two ${D}^{*}$ and a ${\overline{K}}^{*}$ by using the fixed center approximation to the Faddeev equations to search for bound states of the three-body system. Since the ${D}^{*}{D}^{*}$ interaction is attractive and gives a bound state, and so is the case of the ${D}^{*}{\overline{K}}^{*}$ interaction, where the ${J}^{P}={0}^{+}$ bound state is identified with the ${X}_{0}\left(2900\right)$, the ${D}^{*}{D}^{*}{\overline{K}}^{*}$ 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 to 152 MeV and the widths from 80 to 100 MeV.

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PhysRevD.107.034006.pdf
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