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##### The Y(4260) as a J/psi K anti-K system.

**Authors**: A. Martinez Torres, K.P. Khemchandani, D. Gamermann, E. Oset

**Ref.**: Phys.Rev.D **80**, 094012 (2009)

**Abstract**: A study of the $J/psi pi pi$ and $J/psi K ar{K}$ systems, treating them as coupled channels, has been made by solving the Faddeev equations, with the purpose of investigating the possibility of generation of the $J^{PC} = 1^{--}$, Y(4260) resonance due to the interaction between these three mesons. In order to do this, we start by solving the Bethe-Salpeter equation for the two pseudoscalar and for the vector-pseudocalar meson systems using the amplitudes obtained from the lowest order chiral Lagrangians as potentials. With the $t$-matrices generated from these potentials, which contain the poles of the $sigma$, $f_{0}(980)$ and $a_{0}(980)$ resonances for the pseudoscalar-pseudoscalar system and the pole of the X(3872), alongwith other new charmed resonant states, for the vector-pseudoscalar system, we solve the Faddeev equations. As a result, we get a peak around 4150 MeV with a width $sim$ 90 MeV when the invariant mass of the two pseudoscalars is close to that of the $f_0 (980)$.