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 ³P₀ 3 P 0 quark-antiquark pair creation mechanism is employed. The results of masses, mass shifts, proportions of the cc̄ c c ¯ 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 ( 3770 ) , ψ (4040) ψ ( 4040 ) , ψ (4160) ψ ( 4160 ) , ψ (4360) ψ ( 4360 ) , and ψ (4415) ψ ( 4415 ) can be assigned as the 1³D₁ 1 3 D 1 -, 3³S₁ 3 3 S 1 -, 2³D₁ 2 3 D 1 -, 4³S₁ 4 3 S 1 -, and 3³D₁ 3 3 D 1 -dominated charmonium states, respectively. The ψ ₃(3842) ψ 3 ( 3842 ) is a good candidate of the ψ ₃(1D) ψ 3 ( 1 D ) charmonium state. The calculated mass and strong decay width of χ c1(2P) χ c 1 ( 2 P ) with significant continuum contribution ( ~ ∼ 57%) favor the charmonium interpretation for the mysterious χ c1(3872) χ c 1 ( 3872 ) . When considering the large uncertainty in the observed decay width, the possibility to assign the χ c0(3860) χ c 0 ( 3860 ) as the χ c0(2P) χ c 0 ( 2 P ) charmonium state cannot be ruled out. One may describe well the properties of χ c2(3930) χ c 2 ( 3930 ) with the χ c2(2P) χ c 2 ( 2 P ) charmonium. The predictions on properties of other cc̄ c c ¯ states can be tested by future experiments.