Making reasonable assumptions, use isospin to estimate the ratio of the total cross sections for the processes

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Making reasonable assumptions, use isospin to estimate the ratio of the total cross sections for the processes

\[\begin{aligned}& \pi^{-}+p^{+} ightarrow \pi^{-}+p^{+} \\& \pi^{-}+p^{+} ightarrow\pi^{\circ}+n^{0}\end{aligned}\]

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