Glueball-Quarkonia Content of the f_0(1370), f_0(1500) and f_0(1710)

摘要

Based on a 3×3 mass matrix describing the mixing of the scalar states f_0(1370), f_0(1500) and f_0(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>= |uu+dd>/2,|S>=|ss> and |G>=|gg> in the scalar sector, M_G>M_S>M_N and M_G> M_N>M_s, the glueball-quarkonia content of the three states is obtained by solving the Nonlinear equations. Some predictions about thee 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 ratios for the three states can provide a stringent consistency check of the two Assumptions.