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Faddeev fixed-center approximation to the rho D(D)over-bar system

2015    Durkaya, B.; Bayar, M.

We investigate the rho D (D) over bar three body system using the fixed-center approximation to the Faddeev equations. The study is made assuming scattering of a rho on a D (D) over bar cluster, which is known to generate the X (3700) or a (D) over bar on a rho D cluster, which has been shown to generate the D-1(2420). In the case of the rho - X (3700) scattering we find a state with mass around 4320 MeV and width about 25 MeV for the total three body with isospin-1. Considering the (D) over bar - D-1 (2420) scattering we obtain a state with mass around 4256 MeV and width similar to that of the rho - X (3700) state for the I = 1 case. For the case of I = 0 we find a state with mass around 4241 MeV and width about 20 MeV. In all cases we find bound states, and for I = 1 the states could be associated with the X (4260) and X (4360) mesons.