Quark confinement mechanism and the scale $\Lambda_{QCD}$

TL;DR

This paper applies a confinement mechanism to QCD to explain the origin of the scale 5_{QCD} and predicts slight variations of this scale across different hadrons based on their size.

Contribution

It introduces a confinement mechanism that relates 5_{QCD} to hadron size, providing a new way to understand the scale's origin and its hadron-dependent variations.

Findings

Calculated hadron sizes using the confinement mechanism.

Predicted 5_{QCD} varies slightly among different hadrons.

Linked confinement scale to quark and gluonic degrees of freedom.

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.