Ω−andΣ+→pγnonleptonic weak decays via current algebra, partial conservation of axial-vector current, and the quark model

By employing the current-algebra—PCAC (partial conservation of axial-vector current) program at the hadron level, the three decays ${\Omega }^{-}\to {\Xi }^0{\pi }^{-}, {\Xi }^{-}{\pi }^0, \Lambda K^{-}$ are reasonably described in terms of only one fitted $\frac{(\Delta I=\frac{1}{2})}{(\Delta I=\frac{3}{2})}$ parameter of expected small 6% magnitude. Other parameters needed in the analysis, the baryon octet and decuplet weak transitions $〈B^{\prime }\left|{\mathcal{H}}_W^{\mathrm{PC}}\right|B〉$, $〈D\left|{\mathcal{H}}_W^{\mathrm{PV}}\right|B〉$, and $〈D\left|{\mathcal{H}}_W^{\mathrm{PC}}\right|B〉$, are completely constrained from $B\to B^{\prime }\pi$ weak decays and independently from the quark model. The ${\Sigma }^{+}\to p\gamma$ radiative decay amplitude and asymmetry parameters are then determined in terms of no free parameters.