Pion transition form factor in the constituent quark model

Abstract

We calculate the transition form factor of the neutral pion where one photon is virtual and another photon is real in the model where the light constituent quark mass and the quark-pion vertex are taken to be momentum independent. Radiative corrections to the lowest order triangle quark Feynman amplitude are calculated. The resummation of the lowest radiative corrections to the virtual photon vertex is done by applying the Sudakov exponential hypothesis. Using fitting parameters, the quark mass and the strong coupling constant, the results on the pion transition form factor are compared with existing data published by CELLO, CLEO, BaBar and Belle collaborations.

19 pages, 6 figures; discussion is extended, new references added

References in corpus (4)

• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• On the Pion Distribution Amplitude Shape
• A model of a transition neutral pion formfactor measured in annihilation and scattering channels

Cited by in corpus (13)

• The pion: an enigma within the Standard Model
• Structure of the neutral pion and its electromagnetic transition form factor
• The transverse structure of the pion in momentum space inspired by the AdS/QCD correspondence
• On the large-Q^2 behavior of the pion transition form factor
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Pion to photon transition form factors with basis light-front quantization
• The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model
• Influence of confining gluon configurations on the $P\to {\gamma }^{\ast }\gamma$ transition form factors
• Systematic twist expansion of $({\eta }_c,{\eta }_b)\to {\gamma }^{\ast }\gamma$ transition form factors in light-front quark model
• Chiral anomaly and the pion properties in the light-front quark model
• Non-Abelian axial anomaly, axial-vector duality, and the pseudoscalar glueball
• Dispersive approach to non-Abelian axial anomaly
• Theoretical description and measurement of the pion-photon transition form factor