Investigation of light baryons in a simple analytical treatment

We present a simple analytical solution of three-quark problem for investigating the mass spectrum of light baryons. We use the well-known “Coulombic-plus-linear” potential plus spin and isospin exchange interactions to reproduce the hyperfine structure of the baryon. Performing calculations in hypercentral approach without any perturbative approximation, we obtain the spin- and isospin-dependent energy levels and eigenfunctions for a three-quark system. Nevertheless, the description of the baryon spectrum in our model is comparable with the experimental spectrum.