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FIZIKA B 14 (2005) 1, 41 - 74
CHIRAL QUARK MODELS AND THEIR APPLICATIONS
JAN O. EEGa and AKSEL HIORTHb
aDepartment of Physics, University of Oslo, P.O.Box 1048
Blindern, N-0316 Oslo, Norway
bRF-Rogaland Research, P.O.Box 8046, N-4068 Stavanger, Norway
E-mail addresses: j.o.eeg@fys.uio.no aksel.hiorth@rtf.no
Received 29 November 2004; Accepted 12 September 2005
Online 18 November 2005
We give an overview of chiral quark models, both for the pure light sector and the
heavy-light sector. We describe how such models can be bosonized to obtain well known
chiral Lagrangians which can be inferred from the symmetries of QCD alone. In addition,
the coefficients of the various pieces of the chiral Lagrangians can be calculated within
these models. We discuss a few applications of the models, in particular, B -[`B] mixing and processes of the type B ® D [`D], where D might be both
pseudoscalar and vector. We suggest how the formalism might be extended to include light
vectors (r,w,K*), and
heavy to light transitions like B ® p.
PACS numbers: 12.39.-x, 12.39.Fe
UDC 539.126
Keywords: chiral quark models, chiral Lagrangians, B -[`B] mixing, B ® D [`D]
decays, heavy to light meson transitions
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