Analyzing powers for the ${\pi }^{-}\overrightarrow{p}\to {\pi }^{0}n$ reaction across the $\Delta \mathrm{}\left(1232\right)\mathrm{}$ resonance

High quality analyzing powers for the ${\pi }^{-}\overrightarrow{p}\to {\pi }^{0}n$ reaction have been obtained with a polarized proton target over a broad angular range at incident kinetic energies of 98.1, 138.8, 165.9, and 214.4 MeV. This experiment nearly doubled the existing $\pi N$ single-charge-exchange database for energies ranging from 10 to 230 MeV, with 36 new analyzing powers. The Neutral Meson Spectrometer was used to detect the outgoing neutral pions. The data are well described by recent phase-shift analyses. When combined with high-precision and accurate cross section data at the same energies, the data can provide a good test of the degree of isospin breaking in the region of the $\Delta \mathrm{}\left(1232\right)\mathrm{}$ resonance. They will also be helpful for constraining the evaluation of the pion-nucleon $\sigma$ term from the scattering amplitudes.