Approximate solutions of the Schrödinger equation with Hulthén-Hellmann Potentials for a Quarkonium system

Hulthén plus Hellmann potentials are adopted as the quark-antiquark interaction potential for studying mass spectra of heavy mesons. We solved radial Schrödinger equation analytically using Nikiforov-Uvarov method. The energy eigenvalues and corresponding wave function in terms Laguerre polynomials were obtained. present results applied calculating mesons such charmonium bottomonium. Four special cases considered when some parameters set to zero, resulting into potential, Yukawa Coulomb respectively. provides satisfying comparison with experimental data work other researchers.