DOI 10.1007/s100529901060
Semileptonic and rare B-meson transitions in a QCD relativistic potential model
P. Colangelo1 - F. De Fazio1 - M. Ladisa1,2 - G. Nardulli1,2 - P. Santorelli1,2 - A. Tricarico2
1 Istituto Nazionale di Fisica Nucleare, Sezione di Bari, Italy
2 Dipartimento di Fisica dell'Università di Bari, Italy
Received: 14 September 1998 / Published online: 11 March 1999
Abstract
Using a QCD relativistic potential model, previously applied to the
calculation of the heavy meson leptonic constants,
we evaluate the form factors governing the exclusive decays
,
and
.In our approach the heavy meson is
described as a
bound state, whose wave function is
solution of the relativistic Salpeter equation, with an instantaneous
potential displaying Coulombic behaviour at small distances and linear
behaviour at large distances. The light vector meson is described by using
a vector current interpolating field, according to the Vector
Meson Dominance assumption. A Pauli-Villars regularized propagator is assumed
for the quarks not constituting the heavy meson.
Our procedure allows to avoid the description of the light meson in terms of
wave function and constituent quarks, and consequently the problem
of boosting the light meson wave function.
Assuming as an input the
experimental results on
, we evaluate all
the form factors describing the
semileptonic and rare
transitions. The overall comparison with the data,
whenever available, is satisfactory.
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