Determination of the mass spectrum of quarkonia by the Nikiforov–Uvarov method

The Schrödinger equation for a potential being the sum of a harmonic oscillator potential, a linear potential, and a Coulomb potential has been solved by the Nikiforov–Uvarov method for large and small distances between particles being in the bound state. Asymptotic expansions have been obtained for the energy levels and wave functions, and also the wave function and the energy of the ground state have been found. The mass spectrum of heavy quarkonia and their radius have been calculated.