Axial Anomaly and Mixing Parameters of Pseudoscalar Mesons

TL;DR

This paper investigates the mixing parameters of eta, eta', and a third state G using a three-angle scheme and dispersive methods, revealing constraints consistent with SU(3) and chiral symmetry.

Contribution

It introduces a generalized three-angle mixing scheme combined with dispersive analysis to constrain pseudoscalar meson mixing parameters.

Findings

Equal axial current couplings f_8 and f_0 are preferred.

Constraints align with SU(3) and chiral symmetry expectations.

Dispersive approach effectively analyzes charmonium decay data.

Abstract

In this work the analysis of mixing parameters of the system involving eta, eta' mesons and some third massive state G is carried out. We use the generalized mixing scheme with three angles. The framework of the dispersive approach to Abelian axial anomaly of isoscalar non-singlet current and the analysis of experimental data of charmonium radiative decays ratio allow us to get a number of quite strict constraints for the mixing parameters. The analysis shows that the equal values of axial current coupling constants f_8 and f_0 are preferable which may be considered as a manifestation of SU(3) and chiral symmetry.