A Constituent Quark-Meson Model for Heavy Meson Decays

I describe a model for heavy meson decays based on an effective quark-meson lagrangian. I consider the heavy mesons S with spin and parity J = (1, 0), H with J = (1, 0) and T μ with J = (2, 1), i.e. S and P wave heavy-light mesons. The model is constrained by the known symmetries of QCD in the mQ → ∞ for the heavy quarks and chiral symmetry in the light quark sector. Using a very limited number of free parameters it is possible to compute several phenomenological quantities, e.g. the leptonic B and B decay constants; the three universal Isgur-Wise form factors: ξ, τ3/2, τ1/2, describing the semi-leptonic decays B → Dlν, B → Dlν; the strong and radiativeD decays; the weak semi-leptonic decays of B and D into light mesons: π, ρ,A1. An overall agreement with data, when available, is achieved. To appear in the Proceedings of the XXIXth International Conference on High Energy Physics Vancouver, B.C., Canada, 23–29 July 1998 CPT-98/P.3695 September 1998 aUnité Propre de Recherche 7061. A CONSTITUENT QUARK-MESON MODEL FOR HEAVY MESON DECAYS ALDO DEANDREA Centre de Physique Théorique, CNRS Luminy, Case 907, F-13288 Marseille Cedex 9, France E-mail: [email protected] I describe a model for heavy meson decays based on an effective quark-meson lagrangian. I consider the heavy mesons S with spin and parity JP = (1+, 0+), H with JP = (1, 0) and Tμ with JP = (2+, 1+), i.e. S and P wave heavy-light mesons. The model is constrained by the known symmetries of QCD in the mQ → ∞ for the heavy quarks and chiral symmetry in the light quark sector. Using a very limited number of free parameters it is possible to compute several phenomenological quantities, e.g. the leptonic B and B∗∗ decay constants; the three universal Isgur-Wise form factors: ξ, τ3/2, τ1/2, describing the semi-leptonic decays B → D (∗)lν, B → D∗∗lν; the strong and radiative D∗ decays; the weak semi-leptonic decays of B and D into light mesons: π, ρ, A1. An overall agreement with data, when available, is achieved.