Abstract
We discuss the hyperon nonleptonic decays in the broken chiral $\mathrm{SU}(3)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(3)$ symmetry scheme. We obtain a new sum rule involving both the $S$- and $P$-wave amplitudes which is in rough agreement with experiments. Also by using this group, together with the generalized Sugawara-Suzuki method, we are able to prove octet dominance for these decays.
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