Charmonium states in a coupled-channel model

We systematically investigate the mass spectrum and two-body open-charm strong decays of charmonium states in a coupled-channel model where the ^3P_0 quark-antiquark pair creation mechanism is employed. The results of masses, mass shifts, proportions of the cc̅ component, and open-charm decay widths are provided. The S-D wave mixing angles and di-electric decay widths for vector mesons are also presented. Based on our results, we find that the ψ(3770), ψ(4040), ψ(4160), ψ(4360), and ψ(4415) can be assigned as the 1^3D_1-, 3^3S_1-, 2^3D_1-, 4^3S_1-, and 3^3D_1-dominated charmonium states, respectively. The ψ_3(3842) is a good candidate of the ψ_3(1D) charmonium state. The calculated mass and strong decay width of χ_c1(2P) with significant continuum contribution (∼57%) favor the charmonium interpretation for the mysterious χ_c1(3872). When considering the large uncertainty in the observed decay width, the possibility to assign the χ_c0(3860) as the χ_c0(2P) charmonium state cannot be ruled out. One may describe well the properties of χ_c2(3930) with the χ_c2(2P) charmonium. The predictions on properties of other cc̅ states can be tested by future experiments.