QNP 2006

The European Physical Journal A

, Volume 31, Issue 4, pp 725-727

First online:

Study of the semileptonic decays B→π, D→π and D→K

  • C. AlbertusAffiliated withSchool of Physics and Astronomy, University of Southampton
  • , J. M. FlynnAffiliated withSchool of Physics and Astronomy, University of Southampton
  • , E. HernándezAffiliated withGrupo de Fısica Nuclear, Departamento de Fısica Fundamental e IUFFyM, Facultad de Ciencias
  • , J. NievesAffiliated withDepartamento de Fısica Atómica, Molecular y Nuclear, Universidad de Granada
  • , J. M. Verde-VelascoAffiliated withGrupo de Fısica Nuclear, Departamento de Fısica Fundamental e IUFFyM, Facultad de Ciencias

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Abstract.

The semileptonic decay Bπ is studied starting from a simple quark model that takes into into account the effect of the B*-resonance. A novel, multiply subtracted, Omnès dispersion relation has been implemented to extend the predictions of the quark model to all q2 values accessible in the physical decay. By comparison to the experimental data, we extract | V ub| = (3.4±0.2(exp.)±0.7(theory))0-3. As a further test of the model, we have also studied Dπ and DK decays for which we get good agreement with experiment.

PACS.

12.15.Hh Determination of Kobayashi-Maskawa matrix elements 11.55.Fv Dispersion relations 12.39.Jh Nonrelativistic quark model 13.20.He Decays of bottom mesons