Axial anomaly and transition form factors.

Abstract

We perform an analysis of the electromagnetic ${\mathrm{\ensuremath{\pi}}}^{0}$ and \ensuremath{\omega} transition form factors, which are induced by the axial anomaly. The main contribution to these processes comes from the triangle quark graph, which reproduces the exact anomaly value at the low energy limit. We call this the ``anomaly term,'' to which we direct our attention in a relatively high energy region and get the information from the existing experimental data of the above transition form factors. Our results shows that it is essential to use the constituent quark mass instead of the current quark mass in evaluating the anomaly term from the triangle graph.