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

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 ${\eta }_t\to 2\gamma$. 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.

Comments: 28 pages, LaTeX