Study on the Applicability of Varshni Potential to Predict the Mass Spectra of the Quark-Antiquark Systems in a Non-relativistic Framework

Abstract: In this work, we obtain the Schrödinger equation solutions for Varshni potential using Nikiforov-Uvarov method. The energy eigenvalues are obtained in non-relativistic regime. corresponding eigenfunction is terms of Laguerre polynomials. We applied present results to calculate heavy-meson masses charmonium cc ¯ and bottomonium bb ¯. mass spectra multiplets have been predicted numerically. good agreement with experimental data works other researchers. Keywords: equation, potential, method, Heavy meson. PACs: 14.20.Lq; 03.65.-w; 14.40.Pq; 11.80.Fv.