
A study of the J/ψππ and J/ψKK¯ 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 JPC=1−−, Y(4260) resonance due to the interaction between these three mesons. In order to do this, we start by solving the BetheSalpeter equation for the two pseudoscalar and for the vectorpseudocalar meson systems using the amplitudes obtained from the lowest order chiral Lagrangians as potentials. With the tmatrices generated from these potentials, which contain the poles of the σ, f0(980) and a0(980) resonances for the pseudoscalarpseudoscalar system and the pole of the X(3872), alongwith other new charmed resonant states, for the vectorpseudoscalar system, we solve the Faddeev equations. As a result, we get a peak around 4150 MeV with a width ∼ 90 MeV when the invariant mass of the two pseudoscalars is close to that of the f0(980).
