Self-Consistent Determination of Coupling Shifts in Broken $\mathrm{SU}\left(3\right)\mathrm{}$

The possibility that certain patterns of $\mathrm{SU}\left(3\right)\mathrm{}$ symmetry breaking are dynamically enhanced in baryon-meson couplings is studied by bootstrap methods. For the strong couplings, a single dominant enhancement is found. It produces very large symmetry-breaking terms, transforming like an octet, as often conjectured. Experimental consequences are listed, such as a reduction of $K$-baryon couplings relative to $\pi$-baryon couplings which is in accord with the experimental weakness of $K$ relative to $\pi$ production in many circumstances, such as photoproduction and multi-BeV cosmic-ray collisions. For parity-violating nonleptonic couplings, a dominant octet enhancement is again found, as mentioned in a previous paper, which leads to an excellent fit with experiment. For parity-conserving nonleptonic couplings, on the other hand, several different enhancements compete, and the only conclusion we can draw is that terms with the "abnormal" transformation properties brought in by strong symmetry-breaking corrections are present. Our work provides a dynamical derivation of various phenomenological facts associated with $\mathrm{SU}\left(6\right)\mathrm{}$, such as the dominance of the 35 representation in parity-violating nonleptonic decays.