EXTENSION OF THE LOGARITHMIC POTENTIAL TO MULTI-QUARK SYSTEMS - DEPENDENCE OF THE ENERGY ON DEPTH AND RANGE

Quigg and Rosner have recently examined the problem of constructing a quark model consistent with the experimental finding that M(Υ{hooked}′) - M(Υ{hooked}) ≈ M(ΨΥ{hooked}) - M(Ψ). They have shown that an energy spectrum with level spacing independent of the mass of the consituent quarks occurs if the potential has a logarithmic shape. Lipkin in a recent letter has attempted to extend the Quigg-Rosner model to multiquark systems by assuming a quasinuclear model with a two-body logarithmic interaction and no additional forces (or bag). In this note we examine some of the features of this two-body interaction and their generalization within the type of quasinuclear model suggested by Lipkin. © 1979.