Low-energy electromagnetic characteristics of the $\pi$-meson in the covariant three-dimensional approach

TL;DR

This paper develops a covariant three-dimensional formalism to analyze the electromagnetic properties of the $$-meson, including polarizability and mean square radius, incorporating radiative corrections for improved accuracy.

Contribution

It introduces a covariant three-dimensional approach to calculate electromagnetic characteristics of the $$-meson, including radiative corrections, which is a novel application in this context.

Findings

Calculated the $$-meson polarizability and mean square radius.

Included radiative corrections in the electromagnetic property calculations.

Provided a covariant formalism for two-quark systems in external fields.

Abstract

The inverse time ordered Green's function is defined in a covariant three-dimensional formalism using the diagram approach.The equation of motion of a two-quark composite system in an external electromagnetic field up to the second order in the field strength is obtained. The polarizability of the $\pi$-meson is calculated using this formalism. The mean square radius of the two-quark system is calculated from the wave functions of the system. In addition, radiative corrections are calculated for both the polarizability and the mean square radius.