Baryon masses in a nonrelativistic model with the quantum isotonic oscillator potential

The nonrelativistic quark model and a new baryon mass formula have been applied to study the baryon octet and decuplet masses. To describe the quark-quark interacting forces inside baryons, a suitable phenomenological form of the potential and quantum isotonic oscillator potential have been proposed. A comparison between calculations reported in this study and the available experimental data is investigated. The description of the spectrum shows that the position of the Roper resonances of the nucleon, the ground states and the excited multiplets up to three GeV are in general well reproduced