Momentum-space second-order optical potential for pion-nucleus elastic scattering

For use in applications such as pion photoproduction and inelastic exclusive pion scattering studies, a first-plus-second-order pion-nucleus optical potential is constructed by fitting the phenomenological ${\ensuremath{\rho}}^{2}$-dependent term to the ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}$${\mathrm{\ensuremath{-}}}^{12}$C total and differential cross sections. It is demonstrated that such a potential is A universal (A is the atomic mass number) and well describes all available (total and elastic differential) pion scattering data for the $^{4}\mathrm{He}$, $^{6}\mathrm{Li}$, $^{16}\mathrm{O}$, $^{28}\mathrm{Si}$, and $^{40}\mathrm{Ca}$ targets in a broad energy range 14\ensuremath{\le}${T}_{\ensuremath{\pi}}$\ensuremath{\le}250 MeV.

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