Ground and excited scalar isoscalar meson states in a U(3) x U(3) quark model with a glueball

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.