Two photon transition form factors of neutral pseudoscalar mesons

Abstract

Starting from the axial vector Ward-Green-Takahashi identity, and the necessity of preserving this identity when attempting to calculate the properties describing pseudoscalar mesons, we describe a Bethe-Salpeter kernel which takes into account the non-Abelian anomaly and therefore is suitable to describe the flavor mixing states $\eta ,{\eta }^{\prime }$. We then report results for the two photon transition form factors of $\eta ,{\eta }^{\prime }$, and compare them with existing experimental data.

Comments: 5 pages, 1 figure; proceeding of the 18th International Conference on Hadron Spectroscopy and Structure (HADRON2019), Guilin, China, 16-21 Aug. 2019