Eur. Phys. J. A 10, 109-117
Scalar mesons and glueball in a quark model allowing for gluon anomalies
M.K. Volkov and V.L. YudichevBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia volkov@thsun1.jinr.ru
(Received: 11 January 2001 / Revised version: 16 January 2001 Communicated by V.V. Anisovich)
Abstract
This paper is a sequel of a previous one (Scalar mesons in a chiral quark
model with glueball
, Eur. Phys. J. A 8, 567 (2000)) where an attempt to
construct an effective
-symmetric meson
Lagrangian with a scalar glueball was made. The glueball was
introduced by using the dilaton model on the base of scale
invariance. The scale invariance breaking because of current
quark masses and the scale anomaly of QCD, reproduced by the dilaton
potential, was taken into account.
However, in the previous paper,
the scale invariance breaking because of
the terms like
and
, where
and
are
the pseudoscalar and scalar isosinglets,
was not taken into account.
These terms are produced by
the part of the 't Hooft interaction that
is connected with gluon anomalies.
Allowing for the scale invariance breaking by
these terms has a decisive
effect on the quarkonium-glueball mixing
and noticeably changes the widths of
glueball strong decays.
Taking account of this additional source
of the scale invariance breaking
and its implications are the subject of the present work.
It is also shown that in the decay of a glueball into four pions,
the channel with two 
-resonances dominates.
12.39.Ki - Relativistic quark model.
12.39.Mk - Glueball and nonstandard multiquark/gluon states.
13.25.-k - Hadronic decays of mesons.
14.40.-n - Mesons.
© Società Italiana di Fisica, Springer-Verlag 2001
