Understanding the success of nonrelativistic potential models for relativistic quark-antiquark bound states
Understanding the success of nonrelativistic potential models for relativistic quark-antiquark bound states
We investigate the connection between relativistic potential models for quark-antiquark bound states and the nonrelativistic models that have been used successfully to fit and predict the spectra of relativistic systems, as in the work of Martin. We use Martin's operator inequality $\sqrt{{p}^{2}{+m}^{2}}<~{(p}^{2}{+M}^{2}{+m}^{2})/2M$ to motivate the approximation of the relativistic kinetic …