Spectroscopy and annihilation decay widths of charmonium and bottomonium excitations

Abstract We study the charmonium (c¯c) and bottomonium (b¯b) spectra, using Cornell potential withadditional constant potential term in a non-relativistic framework, with spin-dependent correctionscorresponding to the spin-spin, spin-orbit, and tensor interactions added perturbatively. We predictthe masses of low-lying and excited states of charmonium and bottomonium up to n = 6 and L = 2.We analyze the radial and orbital Regge trajectories of both the systems and investigate theirdeparture from linearity. Further, we estimate the wave function at the origin and, consequently,predict the decay widths of charmonium and bottomonium states annihilating to leptons andphotons. Also, we investigate the effect of scale dependence of the wave function at the origin andthe strong coupling constant on the predictions of annihilation decay widths. We compare ourpredictions of heavy quarkonium spectra and decay widths with experimental results and othertheoretical models.