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Hadrons and Nuclei


Eur. Phys. J. A 13, 477-491 (2002)
DOI: 10.1140/epja/iepja1357

Weak decays of heavy mesons in a covariant quark model

D. Merten, R. Ricken, M. Koll, B. Metsch and H.R. Petry

Institut für Theoretische Kernphysik, Nußallee 14-16, D-53115 Bonn, Germany

merten@itkp.uni-bonn.de

(Received: 19 December 2001 / Revised version: 17 January 2002 Communicated by V.V. Anisovich)

Abstract
In this paper we investigate weak decays of heavy mesons in the framework of a covariant quark model, which is based on the Bethe-Salpeter equation in instantaneous approximation. Apart from a phenomenological confinement potential, a residual interaction induced by instantons is adopted. Masses and many decay observables of light mesons have already been described successfully in this model (Eur. Phys. J. A 9, 73 (2000); 221). An appropriate extension allows a unified description of light and heavy systems. Using a set of parameters, which are fixed by the mass spectra, we evaluate the form factors of semileptonic decays of charmed and bottom mesons. In the heavy-quark limit these can be reduced to the Isgur-Wise function, which is calculated. Finally, the form factors are used to determine the non-leptonic decay rates of B-mesons in the factorization approximation.

PACS
12.39.Ki - Covariant quark model.
13.20.Fc - Heavy mesons.
13.20.He - Semileptonic decays.

© Società Italiana di Fisica, Springer-Verlag 2002