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

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.