Abstract

We calculate the masses and leptonic decay widths of the bottomonium bb¯ and charmonium cc¯ states in a constituent quark model where the Cornell-like potential and spin-dependent interaction are employed, with all model parameters predetermined by studying ground and first radial excited states of S- and P-wave heavy quarkonium mesons. By comparing the theoretical predictions for JPC=1 - quarkonium states with experimental data and considering possible mixtures of nS and (n-1)D states, we provide tentative assignments for all observed JPC=1 - heavy quarkonia. The work suggests that the ϒ(10860) and ϒ(11020) are bb¯ 5S-4D mixture states, and the ψ(4360) and ψ(4415) are largely 4S and 3D cc¯ states, respectively. The ψ(4230) may not be accommodated with the conventional meson picture in the present work.