Is theΔD35(1925)Resonance Evidence for New Baryonic Degrees of Freedom?

Abstract

The possibility that the ${\Delta }_{D35\mathrm{}}\mathrm{}\left(1925\right)\mathrm{}$ resonance is evidence for a [56, $1^{-}$] multiplet corresponding to excitation of new gluonic degrees of freedom within baryons is examined in detail. A new group-theoretical analysis of a successful mass formula for the $N=2\mathrm{}$ multiplets of the nonrelativistic harmonic-oscillator quark model is also presented. Some results for the $N=3\mathrm{}$ level are also given together with an outline of the method for generalization to any degree of excitation of the system.