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- W2074432755 abstract "A fixed-source analysis of the $s$-wave pion-nucleon interaction is constructed along the lines of the Chew-Low-Wick formalism. A bilinear $s$-wave interaction of the form ${ensuremath{lambda}}_{0}ensuremath{phi}ifmmodecdotelsetextperiodcenteredfi{}ensuremath{phi}+ensuremath{lambda}ensuremath{tau}ifmmodecdotelsetextperiodcenteredfi{}(ensuremath{phi}ifmmodetimeselsetexttimesfi{}ensuremath{pi})$ is added to the usual $p$-wave coupling ${(4ensuremath{pi})}^{frac{1}{2}}(frac{f}{ensuremath{mu}})ensuremath{sigma}ifmmodecdotelsetextperiodcenteredfi{}ensuremath{nabla}ensuremath{tau}ifmmodecdotelsetextperiodcenteredfi{}ensuremath{phi}$. Scattering equations are developed and solved in the one-meson approximation. Values for the renormalized coupling parameters ${ensuremath{lambda}}_{0}$ and $ensuremath{lambda}$ are determined which give reasonable agreement with the $s$-wave phase shifts up to ensuremath{sim}100-Mev pion kinetic energy. This $s$-wave interaction with the parameters fixed by the scattering analysis is then applied to the discussion of the ${ensuremath{pi}}^{+}$ and ${ensuremath{pi}}^{0}$ photo-production cross sections. A Kroll-Ruderman theorem is proved for the above nonlocal interaction and it is shown that the contributions to $s$-wave neutral and charged photoproduction are consistent with experiment. Other experimental implications, in particular as to the possible role of $ensuremath{pi}ensuremath{-}ensuremath{pi}$ forces, are discussed." @default.
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- W2074432755 date "1956-10-01" @default.
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- W2074432755 title "Theory ofS-Wave Pion Scattering and Photoproduction at Low Energies" @default.
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- W2074432755 doi "https://doi.org/10.1103/physrev.104.236" @default.
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