Singlet-octet-glueball mixing of scalar mesons

Abstract

The mixing angles between scalar isoscalar resonances and a scalar glueball are determined from their decays into two pseudoscalar mesons. For f0(1370) and f0(1500), at most a small glueball component is admitted by the data. The decay modes of f0(1710), f0(1770), f0(2020), and f0(2100) require significant glueball fractions. Above this mass, the errors in the decay frequencies become too large to extract a glueball component. The summation of all observed glueball fractions up to 2100MeV yields (78±18)%. The glueball fractions as function of the mass are consistent with a scalar glueball at 1865MeV and a width of 370MeV as suggested by a measurement of the yield of scalar isoscalar mesons in radiative J/ψ decays.