The differential cross sections for ${\pi }^{-}p\to {\pi }^{0}n$ including the recent measurements up to $-t\approx 2.2$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^2$, the polarization, and the difference $\Delta \sigma ={\sigma }_{\mathrm{tot}}\left({\pi }^{+}p\right)-{\sigma }_{\mathrm{tot}}\left({\pi }^{-}p\right)$ are fitted in the region of high energy by using a $\rho$ + cumodel. The $I_t=1\mathrm{}$ amplitudes deduced from the model for ${\pi }^{-}p\to {\pi }^{0}n$ are found to be in good agreement with those obtained by amplitude-analysis results of $\pi N\to \pi N$ at 6 GeV/c.

• Received 4 February 1981

DOI:https://doi.org/10.1103/PhysRevD.27.2068