Quark-hadron duality,axial anomaly and mixing |
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Authors: | Y. Klopot A. Oganesian O. Teryaev |
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Affiliation: | 1.Bogoliubov Laboratory of Theoretical Physics,Joint Institute for Nuclear Research,Dubna, Moscow region,Russia;2.Institute of Theoretical and Experimental Physics,Moscow,Russia |
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Abstract: | Interplay between axial anomaly and quark-hadron duality in the presence of strong mixing is considered. The anomaly sum rule for meson transition form factors based on the dispersive representation of axial anomaly and quark-hadron duality in octet channel is analyzed. The comparison of this sum rule to the experimental data on the transition form factors of the η and η′ mesons shows that the interval of duality in this channel is rather small, contradicting the usual understanding of quark-hadron duality. The same values of interval of duality are supported by considering the two-point correlator in the local duality limit. This contradiction may be resolved by introducing of some nonperturbative non-one-pion exchange correction to the relevant spectral density. The form and value of this correction are discussed. |
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