Decays of the X(3872) into J/psi and Light Hadrons

Abstract

If the X(3872) is a loosely-bound molecule of the charm mesons D^0 \bar D^{*0} and D^{*0} \bar D^0, it can decay through the decay of a constituent in a hadronic channel with a nearby threshold, such as J/ψωor J/ψρ. The differential decay rates of the X into J/ψπ^+π^-, J/ψπ^+π^-π^0, J/ψπ^0 γ, and J/ψγare calculated in terms of X J/ψρand X J/ψωcoupling constants using an effective lagrangian that reproduces the decay rates of the ωand the ρ. 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/ψπ^+π^-π^0 as a function of the binding energy and the total width of the X.

23 pages, 4 figures, revtex4, corrected typos

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