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.

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