Axial Anomaly and Mixing Parameters of Pseudoscalar Mesons

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.

Comments: 8 pages, 6 figures, submitted to the proceedings of the "Advanced Studies Institute - Symmetries And Spin" (SPIN-Praha-2009) Prague, July 26 - August 2, 2009