Spectroscopy of light baryons in a semi-relativistic constituent three-quark model

Abstract

We studied the non-strange baryon spectroscopy by presenting a simple semi-relativistic constituent three-quark model. Assuming a separation of the interaction potential in terms of a leading SU(6) symmetric component and a subleading SU(6) breaking term, we treated the baryons as a spin-independent three-quark system and presented the analytical solution for the problem. Using perturbative and approximative approaches in order to deal with problematic linear confining term in SU(6)-invariant interaction, we obtained analytical formulas for energy levels and the hyperradial wave functions and the average energy values of the nonstrange resonances are reproduced. To describe the hyperfine structure of the baryon, the splittings within the SU(6)-multiplets are produced by the perturbative spin- and isospin-dependent terms. The resulting description of the baryon spectrum for both approaches are given and compared with the experimental spectrum.