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) \ifmmode\times\else\texttimes\fi{} SU(2) \ifmmode\times\else\texttimes\fi{} O(5) includes the nucleon $N(940)$, the $\ensuremath{\Delta}(1236)$, and two other nucleon resonances. The masses for the resonances, the low-energy pionic coupling, and the Regge coupling of the $\ensuremath{\rho}$, $f$, $\ensuremath{\pi}$, and ${A}_{1}$ trajectories to the particles present in the scheme are predicted and the results are compared with experimental numbers.

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