Mass spectrum of 1-- heavy quarkonium

We calculate the masses and leptonic decay widths of the bottomonium bb over bar and charmonium cc over bar 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 T(10860) and T(11020) are bb over bar 5S - 4D mixture states, and the v (4360) and v (4415) are largely 4S and 3D cc over bar states, respectively. The v (4230) may not be accommodated with the conventional meson picture in the present work.