Proximity of [functionof] sub(0)(1500) and [functionof] sub(0)(1710) to the scalar glueball

Within a nonlinear chiral Lagrangian framework, the underlying mixings among quark-antiquark, four-quark and glue components of f[sub 0](1500) and f[sub 0](1710) are studied in a global picture that includes all isosinglet scalar mesons below 2 GeV. The quark components are introduced in the Lagrangian in terms of two separate nonets which can mix with each other and with a scalar glueball. An iterative Monte Carlo simulation is developed to study the 14 free parameters of the Lagrangian by a simultaneous fit to more than 20 experimental data and constraints on the mass spectrum, decay widths, and decay ratios of the isosinglet scalars below 2 GeV. It is shown that as the simulations approach the limit where the f[sub 0](500) and f[sub 0](980) become the two isosinglet members of an ideally mixed two-quark two-anti-quark nonet, the f[sub 0](1500) develops a large glue component. The overall estimate of the scalar glueball mass is found to be 1.58 [+ or -] 0.18 GeV.