ψSpectroscopy of a Charm String

Abstract

We report the results of the application of the quark-confining string to the $\psi$ spectrum. The model is defined by a relativisticallly invariant action of quarks and color gauge fields. In the Schrödinger limit, where light quarks are neglected, this model (with two parameters) reduced to the charmonium model (with a linearly rising potential) plus additional vibrational levels. In the $e^{+}{e}^{-}$ channel, the first vibrational levels come at about 4.0 and 4.4 GeV.