L=0charmonium spectrum from a generalization of Todorov's quasipotential equation for scalar interactions

Abstract

The spectrum resulting from a relativistic treatment of a linear confinement potential is presented using a generalization of Todorov's quasipotential equation. The potential used is a linear potential and is regarded as a Lorentz scalar. Excellent agreement is obtained with the psion mass spectrum (3.1,3.7,4.1,4.4 GeV). The values for the charm-quark mass and constant of the linear potential are significantly different from those in the nonrelativistic and other relativistic approaches. The fourth and fifth radial excitations are very close to the values predicted by a three-parameter Regge model proposed recently.