Harmonic-Oscillator Model for Baryons

Abstract

Attention is drawn to a possible band structure displayed by the known $N^{*}$ resonances. The observed spectrum is similar to that predicted by a paraquark harmonic-oscillator shell model. Exact three-body Schrödinger wave functions are used to compute the $N\pi$ and $\Delta \pi$ partial decay widths, assuming the pion emission takes place via a one-quark de-excitation. The agreement with experiment is very good.