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Through use of PCAC (partially conserved axial-vector current) we calculate the amplitude for the emission of a single soft pion in the process K -p + K -p . The ratio of cross sections u ( K -p -+ K -pv@)/u(K -p -K 2) is computed for various incoming kaon momenta. The agreement between theoretical and experimental results is reasonably good.

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A soft-pion study using current algebra and the partially conserved axial-vector current (PCAC) hypothesis is made of the proton-antiproton annihilation process j j p --t K i~-3~O . Of the three neutral pions only two are considered as soft with the third pion forming part of the external final state. The differential rate for the process is normalized to the differential rate of the corresponding process without the soft pions. Theoretical predictions for the branching ratios at various antiproton momenta are compared with the existing experimental data.

Previous soft-pion studies of proton-antiproton annihilations into kaons and pions are extended to annihilations that produce exclusively pions. It is argued that the expressions derived earlier can be used to compute the values of branching ratios for processes such as pp + rr'rr-no + 2r0.The results are compared with the available experimental data.