The strong coupling constant

Abstract

In this paper we fix our attention, on hadron structure, and show that also the strong interaction strength alpha_S, ordinarily called the "(perturbative) coupling--constant square}", can be evaluated within our theory, and found to decrease (increase) as the "distance" r decreases (increases). This yields both the confinement of the hadron constituents, and their asymptotic freedom: in qualitative agreement with the experimental evidence. In other terms, our approach leads us, on a purely theoretical ground, to a dependence of alpha_S on r which had been previously found only on phenomenological and heuristic grounds. We expect the above agreement to be also quantitative, on the basis of a few checks performed in this work.