Nucleon representation of the algebra of Regge residues and chiral symmetry

Abstract

A nucleon saturation scheme for the algebra of Regge residues and chiral symmetry is studied. A representation of this extended algebra of SU(2) × SU(2) × O(5) includes the nucleon $N\left(940\right)\mathrm{}$, the $\Delta \mathrm{}\left(1236\right)\mathrm{}$, and two other nucleon resonances. The masses for the resonances, the low-energy pionic coupling, and the Regge coupling of the $\rho$, $f$, $\pi$, and $A_1$ trajectories to the particles present in the scheme are predicted and the results are compared with experimental numbers.