D. Klabucar et D. Kekez, ETA AND ETA' IN A COUPLED SCHWINGER-DYSON AND BETHE-SALPETER APPROACH- ART. NO. 096003, Physical review. D. Particles and fields, 5809(9), 1998, pp. 6003
Extending our earlier treatments of pi(0), eta(c), and eta(b), we stud
y the eta-eta' system and its gamma gamma decays using a model which i
s a leading version of the consistently coupled Schwinger-Dyson (SD) a
nd Bethe-Salpeter (BS) approaches. The electromagnetic interactions an
incorporated through a (generalized) impulse approximation consistent
with this bound-state approach, so that the Ward-Takahashi identities
of QED are preserved when quarks are dynamically dressed. To overcome
some of the limitations due to the ladder approximation, we introduce
a minimal extension to the bound-state approach employed, so that the
U-A(1) problem is avoided. Pointing out which of our predictions hold
in the coupled SD-BS approach in general, and which are the consequen
ces of the specific, chosen model, we present the results for the axia
l-current decay constants of eta(8), eta(0), and of their physical com
binations eta and eta', the results for the gamma gamma-decay constant
s of eta(0) and eta(8), for the two-photon decay widths of eta and eta
', and for the mixing-independent R ratio constructed from them. [S055
6-2821(98)03217-2]