Prediction of new states from D(*)B(*)B¯(*) three-body interactions

Abstract

We study three-body systems composed of ${D}^{(*)}$, ${B}^{(*)}$, and ${\overline{B}}^{(*)}$ 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 ${B}^{*}{\overline{B}}^{*}(B\overline{B})$ 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 $D{B}^{*}{\overline{B}}^{*}$, ${D}^{*}{B}^{*}{\overline{B}}^{*}$, $DB\overline{B}$, and ${D}^{*}B\overline{B}$ 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.