Electromagnetic form-factor of the $\pi$ meson with light-cone QCD sum rules

TL;DR

This paper calculates the electromagnetic form-factor of the pion meson using light-cone QCD sum rules, achieving results consistent with experimental data and providing insights into the meson's internal structure.

Contribution

It introduces a calculation of the pion's electromagnetic form-factor with light-cone QCD sum rules, aligning theoretical predictions with experimental observations.

Findings

The form-factor at zero momentum transfer is approximately 1.

Results agree with experimental data for large momentum transfers.

The method provides reliable estimates consistent with existing theories.

Abstract

In this article, we calculate the electromagnetic form-factor of the $\pi$ meson with the light-cone QCD sum rules. The numerical value $F_\pi^{p}(0) =0.999\pm 0.001$ is in excellent agreement with the experimental data (extrapolated to the limit of zero momentum transfer, or the normalization condition $F_\pi(0)=1$). For large momentum transfers, the values from the two sum rules are all comparable with the experimental data and theoretical estimations.