Mk. Volkov et Vl. Yudichev, Ground and excited scalar isoscalar meson states in a U(3) x U(3) quark model with a glueball, EUR PHY J A, 10(2), 2001, pp. 223-235
Ground and first radially excited scalar isoscalar meson states and a scala
r glueball are described in a nonlocal U(3) x U(3) quark model. The gluebal
l is introduced into the effective meson Lagrangian by means of the dilaton
model on the base of the scale invariance of the meson Lagrangian. The sca
le invariance breaking by current quark masses and gluon anomalies is taken
into account. The glueball anomalies turn out to be important for the desc
ription of the glueball-quarkonia mixing. The masses of five scalar isoscal
ar meson states and their strong decay widths are calculated. The state f(0
)(1500) is shown to be composed mostly of the scalar glueball.