Differential Pion Charge-Exchange Scattering andηProduction:π−+p→π0+nfrom 2.4 to 3.8 GeV/c, at 6 GeV/c, and at 10 GeV/c;π−+p→η0+nat 10 GeV/c

Small-angle differential cross sections are presented here for ${\pi }^{-}+p\to {\pi }^0+n$ charge-exchange scattering between 2.4 and 3.8 GeV/c. The differential cross section near $t=0\mathrm{}$ displays two minima and one maximum in this momentum interval, reflecting the presence of the ${N_{\frac{3}{2}}}^{*}\mathrm{}\left(2420\right)\mathrm{}$, ${N_{\frac{3}{2}}}^{*}\mathrm{}\left(2850\right)\mathrm{}$, and ${N_{\frac{1}{2}}}^{*}\mathrm{}\left(2650\right)\mathrm{}$ resonances; at larger $t$ values, the cross sections fall off exponentially as a function of $t$, just as has been previously observed for charge-exchange scattering above 6 GeV/c. The pion-charge-exchange data reported here at 6 and 10 GeV/c extend out to large angles, showing a maximum near $t=0\mathrm{}$, followed by an exponential falloff as $e^{10t}$, a minimum near $-t=0.6\mathrm{}$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^2$, and then a second maximum near $-t=1.0\mathrm{}$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^2$. The ${\pi }^{-}+p\to {\eta }^0+n$ differential cross section shows a maximum near $t=0\mathrm{}$, followed by an exponential falloff as $e^{4t}$, much less steep than the ${\pi }^0$ slope. These data are compared to our previously published data and to those of the Saclay-Orsay group.