${\pi }^0\to {\gamma }^{\ast }\gamma$ transition form factor within Light Front Quark Model

Abstract

We study the transition form factor of ${\pi }^0\to {\gamma }^{\ast }\gamma$ as a function of the momentum transfer $Q^2$ within the light-front quark model (LFQM). We compare our result with the experimental data by BaBar as well as other calculations based on the LFQM in the literature. We show that our predicted form factor fits well with the experimental data, particularly those at the large $Q^2$ region.

11 pages, 4 figures, accepted for publication in PRC

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• Can we understand an auxetic pion-photon transition form factor within QCD? BaBar faces Belle
• Transition Form Factors and Mixing of Pseudoscalar Mesons from Anomaly Sum Rule
• A combined study of the pion's static properties and form factors
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Universal behaviour of the ${\gamma }^{\ast }\gamma \to ({\pi }^0,\eta ,{\eta }^{\prime })$ transition form factors
• On the ${\gamma }^{\ast }\gamma \to \pi (\eta ,{\eta }^{\prime })$ transition form factors
• Hadronic Form Factor Models and Spectroscopy Within the Gauge/Gravity Correspondence
• Influence of confining gluon configurations on the $P\to {\gamma }^{\ast }\gamma$ transition form factors
• The ${\gamma }^{\ast }{\gamma }^{\ast }\to {\eta }_c$ transition form factor
• Form factors of ${\eta }_c$ in light front quark model
• Chiral anomaly and the pion properties in the light-front quark model
• Study of pesudoscalar transition form factors within light front quark model
• Radial excitation of light mesons and the $\gamma {\gamma }^{\ast }\to {\pi }^0$ transition form factor
• Elastic and transition form factors of light pseudoscalar mesons from QCD sum rules
• Semi-dileptonic decays of the light vector mesons in Light Front Quark Model