  Fermilab experiment E835 has studied reactions \bar{p}p -> pi0 pi0, pi0 eta,
eta eta, pi0 eta' and eta eta' in the energy region of the chi_c0(1^3P_0) from
3340 MeV to 3470 MeV. Interference between resonant and continuum production is
observed in the pi0 pi0 and eta eta channels, and the product of the input and
output branching fractions is measured. Limits on resonant production are set
for the pi0 eta and pi0 eta' channels. An indication of interference is
observed in the eta eta' channel. The technique for extracting resonance
parameters in an environment dominated by continuum production is described.
