Pseudoscalar decay constants and eta. -->. 3. pi. in chiral and 1/N perturbation theory

The normal and anomalous chiral Ward identities are reexamined from the point of view of chiral and 1/ perturbation theory. Constraints of psi ..-->.. eta ..gamma.. and psi ..-->.. eta' ..gamma.. and pseudoscalar two photon decays are imposed, yielding a system of six simultaneous equations. A solution for the pseudoscalar decay constants is found which is relatively insensitive to the unknown gluonic bound states. The decay eta ..-->.. 3..pi.. is then calculated using these results, with good agreement with recent measurements.