Abstract
The transition operator for threshold charged-pion photoproduction and radiative pion capture is considered as the nonrelativistic limit of the analogous relativistic operator. We demonstrate that the resulting nonrelativistic threshold photoproduction cross sections are consistent with the corresponding relativistic results. Including a model dependent ${N}^{*}$ anomalous moment contribution to the cross section of order ${(\frac{k}{M})}^{2}$ compared with the static limit, we calculate a rate for ${\ensuremath{\pi}}^{\ensuremath{-}}p\ensuremath{\rightarrow}\ensuremath{\gamma}n$ in reasonable agreement with the known charge-exchange scattering length combination $|{a}_{1}\ensuremath{-}{a}_{3}|$ and the measured Panofsky ratio ${P}_{1}$.[NUCLEAR REACTIONS $p({\ensuremath{\pi}}^{\ensuremath{-}},\ensuremath{\gamma})n$, $n({\ensuremath{\pi}}^{+},\ensuremath{\gamma})p$; calculated threshold cross section, capture rate; nonrelativistic operator.]
Published Version
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