Transition Form Factors of Pseudoscalar Mesons and the Contribution of the Gluon Anomaly

The expressions for the transition form factors (TFFs) of pseudoscalar mesons are derived in the context of the anomaly sum rule approach based on the dispersion representation of the axial anomaly and hypothesis of the global quark-hadron duality. The obtained solutions take into account the π 0 -η...

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Veröffentlicht in:Physics of atomic nuclei 2019-12, Vol.82 (12), p.1616-1620
Hauptverfasser: Khlebtsov, S. P., Oganesian, A. G.
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description The expressions for the transition form factors (TFFs) of pseudoscalar mesons are derived in the context of the anomaly sum rule approach based on the dispersion representation of the axial anomaly and hypothesis of the global quark-hadron duality. The obtained solutions take into account the π 0 -η-η′ mixing and the contribution of the gluon anomaly. It is shown that this method allows one to describe the TFFs for spacelike and timelike photon virtualities. The contribution of the gluon anomaly is estimated.
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subjects Form factors
Gluons
Mathematical Modeling in Nuclear Technologies
Mesons
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quarks
Sum rules
title Transition Form Factors of Pseudoscalar Mesons and the Contribution of the Gluon Anomaly
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