Binding of the BDD and BDD systems

摘要

We study theoretically the BDD and BDD systems to see if they allow for possible bound or resonant states. The three-body interaction is evaluated implementing the fixed center approximation to the Faddeev equations which considers the interaction of a D or D particle with the components of a BD cluster, previously proved to form a bound state. We find an I(J~P) = 1/2(0~?) bound state for the BDD system at an energy around 8925–8985 MeV within uncertainties, which would correspond to a bottom hiddencharm meson. In contrast, for the BDD system, which would be bottom double-charm and hence manifestly exotic, we have found hints of a bound state in the energy region 8935–8985 MeV, but the results are not stable under the uncertainties of the model, and we cannot assure, nor rule out, the possibility of a BDD three-body state.