Puzzle of the Cornell Potential on the heavy and heavy-light meson spectra

Abstract We computed the eigenvalues and eigenfunctions via the Cornell potential, approximately, using Numerov approach. The experimental data for the quantum states 3 S 1 were utilized to fit the mass spectra. Results were compared with observed data and the results obtained from other potential functions in the existing literature for the heavy ( c c ¯ , b b ¯ and b c ¯ ) as well as heavy-light ( B , Bs , D and Ds ) meson states. The yielded meson spectra based on this potential are matching well with the available experimental data.