Electromagnetic Structure of the Pion

TL;DR

This paper investigates the electromagnetic structure of the pion using a light-front field theory model, calculating its form factor and radius, and comparing results with experimental data to validate the approach.

Contribution

It introduces a nonsymmetrical vertex in the light-front model to improve the calculation of the pion's electromagnetic form factor and radius, achieving better agreement with experiments.

Findings

Calculated electromagnetic radius close to experimental value

Electromagnetic form factor matches recent experimental data

Model with nonsymmetrical vertex improves accuracy

Abstract

In this work, we analyze the electromagnetic structure of the pion. We calculate its electromagnetic radius and electromagnetic form factor in low and intermediate momentum range. Such observables are determined by means of a theoretical model that takes into account the constituent quark and antiquark of the pion within the formalism of light-front field theory. In particular, we consider a nonsymmetrical vertex in this model, with which we calculate the electromagnetic form factor of the pion in an optimized way, so that we obtain a value closer to the experimental charge radius of the pion. The theoretical calculations are also compared with the most recent experimental data involving the pion electromagnetic form factor and the results show very good agreement.