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We present results for different observables in weak decays of pseudoscalarand vector mesons with a heavy $c$ or $b$ quark. The calculations are done in anonrelativistic constituent quark model improved at some instances by heavyquark effective theory constraints. We determine pseudoscalar and vector mesondecay constants that within a few per cent satisfy $f_V M_V/f_P M_P=1$, aresult expected in heavy quark symmetry when the heavy quark masses tend toinfinity. We also analyze the semileptonic $B\to D$ and $B\to D^*$ decays forwhich we evaluate the different form factors. Here we impose heavy quarkeffective theory constraints among form factors that are not satisfied by adirect quark model calculation. The value of the form factors at zero recoilallows us to determine, by comparison with experimental data, the value of the$|V_{cb}|$ Cabbibo-Kobayashi-Maskawa matrix element. From the $B\to D$semileptonic decay we get $|V_{cb}|=0.040\pm0.006$ in perfect agreement withour previous determination based on the study of the semileptonic $\Lambda_b\to\Lambda_c$ decay and also in excellent agreement with a recent experimentaldetermination by the DELPHI Collaboration. We further make use of the partialconservation of axial current hypothesis to determine the strong couplingconstants $g_{B^*B\pi}(0)=60.5\pm 1.1$ and $g_{D^*D\pi}(0)=22.1\pm0.4$. Theratio $R=(g_{B^*B\pi}(0) f_{B^*}\sqrt{M_D})/ (g_{D^*D\pi}(0)f_{D^*}\sqrt{M_B})=1.105\pm0.005$ agrees with the heavy quark symmetryprediction of 1.Comment: 19 Latex pages,6 figures, references added, corrected typos, content  enlarge

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Study of the leptonic decays of pseudoscalar<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>,</mml:mo><mml:mi>D</mml:mi></mml:math>and vector<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>B</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:mo>,</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:math>mesons and of the semileptonic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" …

Study of the leptonic decays of pseudoscalarB,Dand vectorB*,D*mesons and of the semileptonic

Study of the leptonic decays of pseudoscalarB,Dand vectorB,Dmesons and of the semileptonic