Charmonium spectra and decays in a semirelativistic model

We investigate the spectra and decays of charmonium (cc̄) system in a semirelativistic potential model. The Hamiltonian of our model consists of a relativistic kinetic energy term, a vector Coulomb-like potential and a scalar confining potential. From this Hamiltonian a spinless wave equation is obtained. The wave equation is then reduced to the form of a single particle Schrödinger equation. The spin dependent potentials are introduced as a perturbation. The three-dimensional harmonic oscillator wave function is employed as a trial wave function and the cc̄ mass spectra is obtained by the variational method. The model parameters and the wave function that reproduce the mass spectra of the cc̄ mesons are then used to investigate some of the decay properties. The results obtained are then compared with the experimental data and with the predictions of other theoretical models. We also propose possible cc̄ assignments for the recently observed charmonium or charmonium-like states.