SU(6)WModel ofΔS=0andΔS=1Nonleptonic Parity - Violating Weak Interactions

Abstract

We construct a model of parity-violating nonleptonic baryon decays in which the effective Hamiltonian has the $\mathrm{SU}{\mathrm{}\left(6\right)\mathrm{}}_W$ transformation properties of the Cabibbo Hamiltonian. This model reproduces the well-known current-algebra results for the $S$-wave hyperon decays and the parity-violating $\mathrm{NN}\pi$ and $N^{*}N\pi$ couplings. With the further assumption of octet dominance we can obtain the parity-violating $\mathrm{NNV}$ amplitudes, where $V$ is a vector meson. We find the important result that the parity-violating $\mathrm{NN}{\rho }^0$ and $\mathrm{NN}\omega$ amplitudes cannot both vanish in the Cabbibo theory, as has heretofore been assumed. The $\mathrm{NNV}$ amplitudes cannot be obtained without additional assumptions. Various assumptions lead to coupling constants which may vary in sign and in magnitude by a factor of 8, but are of the order of magnitude of those obtained by the factorization hypothesis.