Gluonic components of the pion and the transition form factor $γ^*γ^*\toπ^0 $

Details Gluonic components of the pion and the transition form factor $γ^*γ^*\toπ^0 $ Gluonic components of the pion and the transition form factor $γ^*γ^*\toπ^0 $

2009-12-11

arxiv.org/abs/0912.2172v2

Phys.Rev.D81:034009,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages,2 figures,final version to be published in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.81.034009

We propose an effective lagrangian for the coupling of the neutral pion with gluons whose strength is determined by a low energy theorem. We calculate the contribution of the gluonic components arising from this interaction to the pion transition form factor $\gamma^*\gamma^*\to\pi^0 $ using the instanton liquid model to describe the QCD vacuum. We find that this contribution is large and might explain the anomalous behavior of the form factor at large virtuality of one of the photons, a feature which was recently discovered by the BaBar Collaboration.

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