Strong Couplings of Three Mesons with Charm(ing) Involvement

Abstract

Abstract. We determine the strong couplings of three mesons that involve, at least, one η c or J/ψ meson, within the framework of a constituent-quark model by means of relativistic dispersion formulations. For strong couplings of J/ψ mesons to two charmed mesons, our approach leads to predictions roughly twice as large as those arising from QCD sum rules. Three-meson strong coupling from meson-meson transition amplitudesWe determine the strong couplings of three mesons at least one of which is one of the charmonia η c and J/ψ, generically called g PP ′ V and g PV ′ V for pseudoscalar mesons P of mass M P and vector mesons V of mass M V and polarization vector ε µ and defined, for momentum transfer q ≡ p 1 −p 2 , by the amplitudes, from the residues of poles situated at the masses M P R and M V R of (appropriate) pseudoscalar and vector resonances P R and V R and contributing to transition form factors F(q 2 ), in terms of vector quark currents j µ ≡q 1 γ µ q 2 and axial-vector quark currents j 5 µ ≡q 1 γ µ γ 5 q 2 defined by