A Quark-Meson Model for Heavy Mesons: Semi-Leptonic Decays

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I consider a model for heavy meson decays based on an effective quark-meson Lagrangian. The model is constrained by the known symmetries of QCD in the mQ -> infinity limit for the heavy quarks, and chiral symmetry in the light quark sector. Using a limited number of free parameters it is possible to compute several phenomenological quantities, e.g. the leptonic B and B** decay constants; the Isgur-Wise form factors: xi, tau(3/2), tau (1/2), describing the semi-leptonic decays B -> D(*) l nu, B -> D** l nu; the form factors for heavy to light decays B -> rho l nu, B -> a₁ l nu. I show that the semileptonic heavy-to-light form factors calculated in the model fulfill the general relations that hold in QCD in the large energy limit for the final hadron.