Abstract
We formulate a relativistic bound-state calculation of the decay of eta (0/sup -+/) mesons into two gluons or two photons. The decays of eta/sub c/, eta/sub c//sup '/, eta/sub b/, and eta/sub b//sup '/ are calculated and a value of ..cap alpha../sub s/ deduced from the total width of eta/sub c/. The calculated value for eta/sub c/..-->..2..gamma.. is in agreement with experiment. The decays of eta..-->..2..gamma.. and eta'..-->..2..gamma.. are calculated and by comparison with experiment and the bound on iota..-->..2..gamma.., restrictions are placed on the X/sub eta/, Y/sub eta/, X/sub eta//sub '/, and Y/sub eta//sub '/ mixing coefficients of Rosner. The comparison with the Schroedinger-equation calculations shows that the inclusion of relativistic propagators spreads out the annihilations so that they do not occur at r = 0. This suppresses the 2S and higher-level decays, with the greatest suppression for the lightest quarks.
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