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Pion double charge exchange on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>
We have examined the reaction $^{4}\mathrm{He}({\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}, {\ensuremath{\pi}}^{\ensuremath{\mp}})4({p}{n})$ in a model in which there occur two single $\ensuremath{\pi}\ensuremath{-}N$ charge-exchange scatterings with intermediate off-shell pion propagation between scatterings. Separable $\ensuremath{\pi}$-nucleon $t$ matrices having off-shell form factors were used with fully antisymmetrized nuclear wave functions. Spin-flip of the struck nucleons was included. Both …