Application of Current Algebra and Partially Conserved Axial-Vector Current to the WeakBBπVertex

Abstract

The Sugawara-Suzuki treatment of nonleptonic hyperon decays is extended to include the weak $\Delta S=0\mathrm{}$ parity-violating $B{B}_{\pi }$ vertex, where $B$ is a member of the baryon octet. This vertex gives rise to parity-violating effects in strong and electromagnetic interactions of hypernuclei. It is shown that analogs of the Lee-Sugawara relation may be derived which relate the various $\Delta S=0\mathrm{}$ amplitudes to one another and to the $\Delta S=1\mathrm{} S$-wave amplitudes. These relations are used to calculate the one-pion-exchange contribution to the parity-violating internucleon potential.