  Parametrizations of total cross sections sufficient for all channels of the
$\pi B \rightarrow Y K$ reactions are completed using a resonance model. As
well as discussing the $\pi N \rightarrow \Lambda K$ reactions, which were not
presented in our previous publications, we present the differential cross
section for $\pi N \rightarrow \Lambda K$. This report also aims at presenting
supplementary discussions to our previous work.
