Perturbative treatment of coulomb type potential in the presence of a background harmonic oscillator field

Abstract EN

The confining potential for quarks may be simulated by a harmonic oscillator potential.

The shorter range interaction between the quarks can in turn be simulated by a Coulomb potential.

This latter potential we treat using perturbation theory, and in the process obtain some relations between perturbed energy spacings for general /.

Finally we also numerically evaluate the perturbations introduced by a Coulomb and by a linear potential and illustrate these effects graphically.