The isosinglet scalar mesons f0(1710), f0(1500), f0(1370) and their mixing are studied. Two recent lattice results are employed as the starting point; one is the approximate SU(3) symmetry in the scalar sector above 1 GeV for the connected insertion part without qq̄ annihilation, and the other is the scalar glueball mass at 1710 MeV in the quenched approximation. In the SU(3) symmetry limit, f0(...

A new relation between ρ-meson mass, weak π-meson decay constant, quark and gluon condensates is derived from the QCD sum rules. As a byproduct an explanation for the dominance of ρρ-decay for the f0(1370)-meson is proposed. Pacs: 12.38.Lg

We use a modified version of the Nambu–Jona-Lasinio model which implements the QCD trace anomaly to calculate the two photons decay width of the glueball (f0(1500)) and of the two scalar mesons (f0(1370), fJ=0(1710)) to which it is mixed. We investigate the effect of this mixing over the coupling constants of the f0 states to the quarks.