Nature ofSU(3)×SU(3)Symmetry Breaking—Results from a Systematic Test of the Soft-Meson Theorems

Abstract

We make a systematic test of soft-meson-theorem predictions for both elastic and inelastic pseudoscalar-meson-baryon threshold scattering amplitudes. The predictions are obtained by using an extrapolation procedure developed by Fubini and Furlan and by ourselves. Our results give considerable support to a theory of $\mathrm{SU}\left(3\right)\mathrm{}\times \mathrm{SU}\left(3\right)\mathrm{}$ symmetry breaking proposed recently by Gell-Mann, Oakes, and Renner, and imply that, in the absence of symmetry breaking, the mass of the $J^p={\frac{1}{2}}^{+}$ baryon octet would be approximately that of the physical nucleon.