Baryon resonances in a gluon-perturbed linear potential

Abstract

A harmonic-oscillator De Rújula-Georgi-Glashow model (i.e., a model with harmonic oscillator perturbed by a Fermi-Breit potential) is used to calculate masses of $n=0\mathrm{}$ and $n=1\mathrm{}$ baryons. It is observed that some of the gross features of the mass spectrum would not be altered by choosing a linear potential rather than the linear harmonic oscillator. Results agree with the presently measured particle masses to within 25% of the mean multiplet splitting and on this basis it is predicted that there is an as-yet-unseen low-lying baryon ($N_{\frac{1}{2}}^{P=-1\mathrm{}}$) with mass 1335(±60) MeV. A number of other predictions are also made; in particular, the decuplet electromagnetic splittings are expected to be reliable.