Estimates for parameters and characteristics of the confining SU(3)-gluonic field in the ground state of toponium: Relativistic and nonrelativistic approaches

TL;DR

This paper estimates parameters of the confining SU(3)-gluonic field in toponium's ground state using relativistic and nonrelativistic approaches, providing insights into the field's characteristics and decay properties.

Contribution

It introduces a nonperturbative method to estimate gluonic field parameters in toponium, aligning with decay width data and exploring field strengths at the quarkonium scale.

Findings

Estimated gluonic field parameters consistent with decay widths.

Calculated gluon concentrations and color field strengths.

Applied both relativistic and nonrelativistic models to toponium.

Abstract

The confinement mechanism earlier proposed by author is applied to describe the (possible) ground state of toponium $\eta_t$. For this aim the nonperturbative consistent approach is elaborated in both relativistic and nonrelativistic cases. The study entails estimates for parameters of the confining SU(3)-gluonic field in the above quarkonium, those estimates being also consistent with possible width of decay $\eta_t\to2\gamma$. The corresponding estimates of the gluon concentrations, electric and magnetic colour field strengths are also adduced for the mentioned field at the scales of toponium.