Glueball-quarkonia content of the f0(1370

Based on a 3×3 mass matrix describing the mixing of the scalar states f0(1370), f0(1500) and f0(1710), the hadronic decays of the three states are investigated. Taking into account the two possible assumptions concerning the mass level order of the bare states |N〉 = |uū + dd̄〉/ √ 2, |S〉 = |ss̄〉 and |G〉 = |gg〉 in the scalar sector, MG > MS > MN and MG > MN > MS , the glueball-quarkonia content of the three states is obtained by solving the unlinear equations. Some predictions about the hadronic and two-photon decays of the three states in two cases are presented. It is pointed out that the predictions about the two-photon decay width ratio for the three states can provide a stringent consistency check of the two assumptions.