S-wave and P-wave non-strange baryons in the potential model of QCD

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In this paper, we study the nucleon energy spectrum in the ground-state (with orbital momentum L=0) and the first excited state (L=1). The aim of this study is to find the mass and mixing angles of excited nucleons using a potential model describing QCD. This potential is of the "Coulombian + linear" type and we take into account some relativistic effects, namely we use essentially a relativistic kinematic necessary for studying light flavors. By this model, we found the proton and Δ(1232) masses respectively equal to (968MeV, 1168MeV), and the masses of the excited states are between 1564MeV and 1607MeV.