Forecasting new charmonium mass spectra in the framework of the non-relativistic quark model by using AL1 and AL2 potentials

Abstract

We examine two phenomenological, non-relativistic potential models (AL1, AL2), which fit the low-lying charmonium spectra. By solving the two-body Schrödinger equation based on Numerov technique, the whole spectrum of these mesons as well as the wavefunctions are obtained. The yielded productions of the wavefunctions and mass spectra using both the distinct models are identical. In the mass range of 2.90 - 4.30 GeV, we observed many resonant states with vector quantum numbers J PC =0 ++ , 1 ++ , and 3 -- . The findings underscore the reliability of the considered AL1 and AL2 potentials in forecasting new charmonium mass spectra.