Prediction of new states from $D^{(*)}B^{(*)}bar{B}^{(*)}$ three-body interactions


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We study three-body systems composed of $D^{(*)}$, $B^{(*)}$ and $bar{B}^{(*)}$ in order to look for possible bound states or resonances. In order to solve the three-body problem, we use the fixed center approach for the Faddeev equations considering that the $B^*bar{B}^*(Bbar{B})$ are clusterized systems, generated dynamically, which interact with a third particle $D(D^*)$ whose mass is much smaller than the two-body bound states forming the cluster. In the $DB^*bar{B}^*$, $D^*B^*bar{B}^*$, $DBbar{B}$ and $D^*Bbar{B}$ systems with $I=1/2$, we found clear bound state peaks with binding energies typically a few tens MeV and more uncertain broad resonant states about ten MeV above the threshold with widths of a few tens MeV.

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