Estimates for parameters and characteristics of the confiningSU(3)-gluonic field in an η′-meson

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 ηmeson. For this aim the electric form factor of an η -meson is nonperturbatively computed in an explicit analytic form. The estimates obtained are also consistent with the width of the electromagnetic decay η → 2γ . 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.

Quark Confinement Mechanism and the Scale Λ QCD

“…A jϕ = 0 which reflects the fact that for any matrix T from SU(3)-Lie algebra we have Tr T = 0. Also, as has been repeatedly discussed by us earlier (see, e. g., [11,12,13,14,15,16,17,18,19,20]), from the above form it is clear that the solution (2) is a configuration describing the electric Coulomb-like colour field (components A 3,8 t ) and the magnetic colour field linear in r (components A 3,8 ϕ ) and we wrote down the solution (2) in the combinations that are just needed further to insert into the Dirac equation (directly derived from QCD-Lagrangian) giving the interaction energy between two quarks in a meson and which will look as follows [after inserting solution (2)]…”

“…As has been repeatedly explained in [11,12,13,14,15,16,17,18,19,20], parameters A 1,2 of solution (2) are inessential for physics in question and we can consider…”

Exact solutions of -dimensional Yang–Mills equations in curved space–time

“…The confining potentials between quarks are usually modeled as V (r) = A/r + Br, however it has been shown that A t dt = (A/r + Br)dt is not a solution of the Yang-Mills equations in the presence of a point charge [54]. The solutions (22), that we have found here, were applied to describe the energy spectra of quarkonia (charmonium and bottomonium) in [50], to predict the electric form factor, the magnetic moment and the root-mean-square radius of mesons in [55,56,57], and to study the chiral symmetry breaking in QCD [58]. It was shown that the confining solutions (22) satisfy the so-called Wilson confinement criterion [52].…”

Asymptotic normalization coefficients and spectroscopic factors from deuteron stripping reactions

“…In a combined approach suggested in [1,2] the SF is extracted using the information about ANC. In this approach the normalization of the external part is fixed using the information about the ANC determined independently from other sources.…”

“…However, the external part still contributes significantly. To extract the SF with better precision in [1,2] the normalization of the external part was fixed using experimentally measured ANC from a different peripheral reaction. Such a combined method allows one not only to extract the SF with a better accuracy but also to test an underlying nuclear reaction theory.…”