Estimates for parameters and characteristics of the confining SU(3)-gluonic field in an $\eta^\prime$-meson

TL;DR

This paper applies a confinement mechanism to estimate parameters of the SU(3)-gluonic field in an ta'-meson, using an analytic form of its electric form factor, consistent with decay data, and provides field strength estimates.

Contribution

It introduces a nonperturbative analytic computation of the ta'-meson electric form factor within a confinement model, estimating gluonic field parameters and strengths.

Findings

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

Computed electric form factor consistent with electromagnetic decay width.

Provided estimates of gluon concentrations and field strengths.

Abstract

The confinement mechanism proposed earlier by the author is applied to estimate the possible parameters of the confining SU(3)-gluonic field in an $\eta^\prime$-meson. For this aim the electric form factor of an $\eta^\prime$-meson is nonperturbatively computed in an explicit analytic form. The estimates obtained are also consistent with the width of the electromagnetic decay $\eta^\prime\to2\gamma$. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field at the scales of the meson under consideration.