Study of Heavy Quarkonium with Energy Dependent Potential

Heavy quark systems ( cc and bb) have been studied in the nonrelativistic framework using energy dependent inter-quark potential of the form harmonic oscillator with a small linear term as energy dependent as perturbation plus a in-verse square potential. This potential admits exact analytical solution of the Schrodinger equation. Mass spectra, lep-tonic decay width, root mean square radii 2r, the expectation value of the radius r and 1 r have been estimated for different quantum mechanical states for cc and bb systems. It is observed that energy dependent term in the potential leads to saturation of the mass spectra and degree of saturation is governed by the magnitude of pertur-bation. The calculated values of leptonic decay widths for 1s state are in very good agreement with the experimental data both for cc and bb systems