Quark confinement mechanism and the scale ${\Lambda }_{QCD}$

Abstract

The confinement mechanism proposed earlier by the author is applied to problem of arising the so-called scale ${\Lambda }_{QCD}$ within the framework of QCD. The natural physical assumption consists of that $1/{\Lambda }_{QCD}\sim <r>$ where $<r>$ is a characteristic size of hadron (radius of confinement). The above confinement mechanism allows us to calculate $<r>$ for mesons in terms of quark and gluonic degrees of freedom and this permits to conclude that ${\Lambda }_{QCD}$ should slightly change from hadron to hadron.

9 pages, LaTeX. arXiv admin note: substantial text overlap with arXiv:1010.1562

References in corpus (7)

• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in the ground state of toponium: Relativistic and nonrelativistic approaches
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in pions and kaons
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in π^0-meson from one- and two-photon decays
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in $\eta$-meson from two-photon decay
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in charged pions and kaons from leptonic decays and chiral symmetry breaking
• Classical model of confinement
• Estimates for parameters and characteristics of the confining SU(3)-gluonic field in neutral kaons and chiral limit for pseudoscalar nonet

Cited by in corpus (1)

• Estimates for Parameters and Characteristics of the Confining SU(3)-gluonic Field in $\varphi$-meson from Leptonic Widths