  Antiproton--proton annihilation into light neutral mesons in the few GeV
energy domain is investigated in view of a global description of the existing
data and predictions for future experiments at PANDA, FAIR. An effective meson
model earlier developed, with mesonic and baryonic degrees of freedom in $s$,
$t$, and $u$ channels, is applied here to $\pi^0\pi^0$ production. Form factors
with logarithmic $s$ and $t(u)$ dependencies are applied. A fair agreement with
the existing angular distributions is obtained. Applying SU(3) symmetry, it is
straightforward to recover the angular distributions for $ \pi^0\eta$, and
$\eta\eta$ production in the same energy range. A good agreement is generally
obtained with all existing data.
