Decays of the X(3872) into J/ψ and light hadrons -: art. no. 054022

If the X(3872) is a loosely bound molecule of the charm mesons D-0(D) over bar (*0) and D-*0(D) over bar (0), it can decay through the decay of a constituent in a hadronic channel with a nearby threshold, such as J/psi omega or J/psi rho. The differential decay rates of the X into J/psi pi(+)pi(-), J/psi pi(+)pi(-)pi(0), J/psi pi(0)gamma, and J/psi gamma are calculated in terms of XJ/psi rho and XJ/psi omega coupling constants using an effective Lagrangian that reproduces the decay rates of the omega and the rho. The dependence of the coupling constants on the binding energy and the total width of the X is determined by a factorization formula. Results from a model by Swanson are used to predict the partial width of X into J/psi pi(+)pi(-)pi(0) as a function of the binding energy and the total width of the X.