Dispersive Approach to Abelian Axial Anomaly, Mixing of Pseudoscalar Mesons and Symmetries

Abstract

We suggest a rigorous generalization of the pseudoscalar mesons mixing description in SU(3) basis. It is shown that the appearance of extra massive state nicknamed in the paper as glueball is unavoidable in any scheme with more than one angle. In this framework we develop the dispersive approach to Abelian axial anomaly of isoscalar non-singlet current. Combining it with the analysis of experimental data of charmonium radiative decays ratio we get the number of quite strict constraints for mixing parameters. Our analysis favors the equal values of axial currents coupling constants which may be considered as a manifestation of SU(3) symmetry and possible violation of chiral symmetry based predictions.

arXiv comment16 pages, 7 figures

References in corpus (12)

• Mixing and Decay Constants of Pseudoscalar Mesons
• Phenomenological Evidence for the Gluon Content of $\eta$ and ${\eta }^{\prime }$
• Study of the eta-eta' system in the two mixing angle scheme
• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• Flavour symmetry breaking and meson masses
• On the ${\eta }^{\prime }$ Gluonic Admixture
• Axial anomaly and the precise value of the ${\pi }^0\to 2\gamma$ decay width
• Phenomenological evidence for the energy dependence of the $\eta -{\eta }^{\prime }$ mixing angle
• Pseudoscalar decay constants at large N_c
• The Physics of Instantons in the pseudoscalar and vector meson mixing
• Axial anomaly: the modern status

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• $\eta -{\eta }^{\prime }$ Mixing in the Flavor Basis and Large N
• Gluonic components of the pion and the transition form factor ${\gamma }^{\ast }{\gamma }^{\ast }\to {\pi }^0$
• Quark-hadron duality, axial anomaly and mixing
• Axial Anomaly and Mixing Parameters of Pseudoscalar Mesons