  We study antiproton-proton annihilation at rest into $\pi\phi$ and
$\gamma\phi$. Rescattering by $\overline{K^*}K+K^*\overline{K}$ and
$\rho^{+}\rho^{-}$ for $\overline{p}p\rightarrow\pi\phi$ states is sizable, of
order $(0.90\, {\rm to}\,2.6)\times 10^{-4}$ in the branching ratio, but
smaller than experiment. For $\overline{p}p\rightarrow\gamma\phi$ the
rescattering contributions are negligible, but the $\gamma\phi$ channel is well
explained by a $\rho\phi$ intermediate state combined with vector meson
dominance.
