Production of f0(1710), f0(1500), and f0(1370) in J/ψ hadronic decays

A coherent study of the production of f0i [i=1, 2, 3 corresponding to f0(1710), f0(1500), and f0(1370)] in J/ψ→Vf0→VPP is reported based on a previously proposed glueball and QQ nonet mixing scheme, and a factorization for the decay of J/ψ→Vf0i, where V denotes the isoscalar vector mesons φ and ω, and P denotes pseudoscalar mesons. The results show that the J/ψ decays are very sensitive to the structure of those scalar mesons, and suggest a glueball in the 1.5-1.7 GeV region, in line with lattice QCD. The presence of significant glueball mixings in the scalar wave functions produces peculiar patterns in the branching ratios for J/ψ→Vf0i→VPP, which are in good agreement with the recently published experimental data from the BES Collaboration