Estimates for parameters and characteristics of the confining SU(3)-gluonic field in \pi^0-meson from one- and two-photon decays

TL;DR

This paper nonperturbatively calculates the electric formfactor of the -meson based on a confinement mechanism, and uses it to estimate parameters of the confining SU(3)-gluonic field from decay processes.

Contribution

It introduces a nonperturbative approach to determine the parameters of the confining SU(3)-gluonic field in -meson using decay data, extending previous confinement models.

Findings

Estimated parameters of the confining SU(3)-gluonic field in -meson.

Derived gluon concentrations and color field strengths.

Provided a nonperturbative calculation of the -meson's electric formfactor.

Abstract

On the basis of the confinement mechanism earlier proposed by author the electric formfactor of $\pi^0$-meson is nonperturbatively calculated. The latter is then applied to describing electromagnetic decays $\pi^0\to2\gamma$ and $\pi^0\to e^+e^-\gamma$ which entails estimates for parameters of the confining SU(3)-gluonic field in $\pi^0$-meson. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field.