Abstract
Recent experimental results on the semileptonicD→K * transition seem to be in conflict with quark model expectations. Motivated by this finding we reinvestigate the predictions for exclusiveD andB decays in the relativistic quark model approach. Some of the invariant formfactors relevant for the transition matrix elementsD→K * andB→D * depend strongly on an explicit quarkmass-dependent integral over the meson wave functions. The dependence of decay rates and spectra in semi-leptonicD andB transitions on this integral is analysed and discussed in detail. Furthermore, we discuss how the predictions of the relativistic quark model for semi-leptonicD andB decays can be tested through measurements of the polarization of the produced vector mesonK * andD *, respectively. Some remarks on exclusive nonleptonic two-body decays of the heavy mesons are also presented. Finally the theoretical uncertainties for the determination of the K-M matrix element |V ub | from exclusive semi-leptonic decays are discussed.
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Bauer, M., Wirbel, M. Formfactor effects in exclusiveD andB decays. Z. Phys. C - Particles and Fields 42, 671–678 (1989). https://doi.org/10.1007/BF01557675
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DOI: https://doi.org/10.1007/BF01557675