Molecular states of D*D*K¯* nature

Abstract

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 ${X}_{0}(2900)$, 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.