SW China Normal Univ, Sch Phys, Chongqing 400715, Peoples R China
; Chinese Acad Sci, Inst High Energy Phys, Beijing 100039, Peoples R China
The mass spectra of heavy quarkonia are calculated with the relativistic quark model. The effective interaction between a quark and an antiquark of the same flavor is assumed to be the sum of the one-gluon exchange with the inclusion of annihilation terms and the mixture of scalar and vector linear confining potentials with the relativisic corrections. The effects of the annihilation and the relativistic correction terms on the hyperfine splittings of quarkonium states are discussed in detail,and a good fit to the observed experimental data is obtained on the mass spectra.