  The decays eta, eta-prime -> pi^+ pi^- gamma are investigated within an
approach that combines one-loop chiral perturbation theory with a coupled
channel Bethe-Salpeter equation which satisfies unitarity constraints and
generates vector mesons dynamically from composite states of two pseudoscalar
mesons. It is furthermore shown that the inclusion of the eta-prime as a
dynamical degree of freedom does not renormalize the Wess-Zumino-Witten term.
