Relevance of final-state nucleon-nucleon charge exchange in inclusive (π,πN) reactions

The Sternheim-Silbar linear transport model for calculating the effect of final-state charge exchange of the struck nucleon in ($\pi ,\pi N$) reactions has been reexamined. It is demonstrated that for ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, the effect ranges from only 10% at low pion energies to 4% at the (3,3) resonance and plays a minor role in determining the magnitude of the inclusive cross sections. A semiclassical linear transport model is used to calculate the $\frac{{\pi }^{-}}{{\pi }^{+}}$ ratio for a clean, one-step nucleon knockout. Unlike the Sternheim-Silbar calculation these results are in very good agreement with intranuclear cascade model predictions.