Dispersive Approach to Abelian Axial Anomaly and η-η' Mixing

2008/10/07 by Yaroslav Klopot, Y. N. Klopot, А. Г. Оганесян +6
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Fractional Differential Equations Solutions #Nonlinear Photonic Systems #hep-ph

paper · pdf · doi:10.48550/arxiv.0810.1217

11 pages, 4 figures

arxiv created 2008/10/07 · arxiv updated 2009/12/01

Abstract

We investigate what can be learnt about the η -η' mixing by means of dispersive representation of axial anomaly. We show that our method leads to the strong bounds for the η-η' mixing angle: θ= -15.3^o ± 1^o. Moreover, our result manifests also a dramatic dependence of the width Γ_{η→ 2γ} on the mixing angle θ. This property explains how the relatively small mixing strongly effects the decay width.

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