Phenomenological $\pi N\to \pi \pi N$ Amplitude and Analysis of Low Energy Data on Total Cross Sections and 1--D Distributions

A. A. Bolokhov, M. V. Polyakov, S. G. Sherman

We develop the phenomenological amplitude of the $\pi N\to \pi \pi N$ reaction describing the exchanges of $\Delta$ and $N_{\ast }$ along with the OPE mechanism. The contribution of the latter cont…