An effective quark-antiquark potential for both heavy and light mesons

From the scaling property of the Schrodinger equation with a mixed powerlaw potential, the author derives a relation between the scalar and vector parts of this potential. Motivating from the asymptotic freedom and lattice QCD computation, the author suggests a unified effective potential for describing the quark-antiquark systems. The prediction of spectroscopy shows that this potential works not only for heavy quarkonium but also for light mesons.