Photon-pion transition form factor of two photon process at BESIII from light-cone quantum field theory

TL;DR

This paper investigates the photon-pion transition form factor at BESIII using light-cone quantum field theory, comparing two wave function models and matching theoretical results with experimental data.

Contribution

It introduces a relation between holographic QCD and BHL wave functions and applies them to calculate the transition form factor in the light-cone quark model.

Findings

The holographic QCD wave function relates to the BHL wave function via a Jacobian.

Calculated TFF results agree with BESIII experimental data.

Comparison with other theoretical models shows consistency.

Abstract

This work studies the experiments of two-photon processes at BESIII from a theoretical viewpoint in light-cone quantum field theory. We adopt the momentum space wave function of the pion in the light-cone formalism by two forms of the Brodsky-Huang-Lepage~(BHL) prescription and the light-cone holographic QCD. We find that the wave function got by the light-cone holographic QCD can be related to the BHL wave function by a Jacobian factor. Then we calculate the transition form factor~(TFF) of the two-photon process by these two wave functions under the light-cone quark model. We compare the calculated results with the preliminary experimental data at BESIII and also other theoretical calculations.