The baryon masses in the ground state [56,0+] and excited [56,2+] state using 1/Nc expansion

Abstract

This paper analyzes the masses of the light baryons in the ground state [56,0+] and excited [56,2+] state in the framework of the 1/Nc expansion using the available physical masses on Particle Data Group. All the calculations were done up to the leading order in SU(3) breaking and order 1/Ncin 1/Nc expansion. The relevant operators to construct the mass formulas were identified and the mass formulas were developed for the ground state [56,0+] and excited [56,2+] state light baryons in 1/Nc expansion. The unknown dynamical coefficients of the mass formulas were fitted using the available empirical masses and lattice data sets. Using these coefficients, the theoretical masses of the light baryons in the ground state [56,0+] and excited [56,2+] state were calculated and found to be closely agreeing with the experimental masses. The masses of the 14 experimentally unfound baryons in the excited [56,2+] state were predicted.