Abstract
Since more than a decade, a bi-scale, unified approach to strong and gravitational interactions has been proposed, that uses the geometrical methods of general relativity, and yielded results similar to strong gravity theory`s. We fix our attention, in this note, 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 for large values of r, and their asymptotic freedom [for small values of r inside the hadron]: in qualitative agreement with the experimental evidence. In other words, our approach leads us, on a purely theoretical ground, to a dependence of {alpha}{sub s} on r which had been previously found only on phenomenological and heuristical grounds. We expect the above agreement to be also quantitative, on the basis of a few checks performed in this paper, and of further work of ours about calculating meson mass-spectra. (author).
Citation Formats
Recami, E, and Tonin-Zanchin, V.
The strong coupling constant: its theoretical derivation from a geometric approach to hadron structure.
Brazil: N. p.,
1991.
Web.
Recami, E, & Tonin-Zanchin, V.
The strong coupling constant: its theoretical derivation from a geometric approach to hadron structure.
Brazil.
Recami, E, and Tonin-Zanchin, V.
1991.
"The strong coupling constant: its theoretical derivation from a geometric approach to hadron structure."
Brazil.
@misc{etde_10109097,
title = {The strong coupling constant: its theoretical derivation from a geometric approach to hadron structure}
author = {Recami, E, and Tonin-Zanchin, V}
abstractNote = {Since more than a decade, a bi-scale, unified approach to strong and gravitational interactions has been proposed, that uses the geometrical methods of general relativity, and yielded results similar to strong gravity theory`s. We fix our attention, in this note, 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 for large values of r, and their asymptotic freedom [for small values of r inside the hadron]: in qualitative agreement with the experimental evidence. In other words, our approach leads us, on a purely theoretical ground, to a dependence of {alpha}{sub s} on r which had been previously found only on phenomenological and heuristical grounds. We expect the above agreement to be also quantitative, on the basis of a few checks performed in this paper, and of further work of ours about calculating meson mass-spectra. (author).}
place = {Brazil}
year = {1991}
month = {Dec}
}
title = {The strong coupling constant: its theoretical derivation from a geometric approach to hadron structure}
author = {Recami, E, and Tonin-Zanchin, V}
abstractNote = {Since more than a decade, a bi-scale, unified approach to strong and gravitational interactions has been proposed, that uses the geometrical methods of general relativity, and yielded results similar to strong gravity theory`s. We fix our attention, in this note, 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 for large values of r, and their asymptotic freedom [for small values of r inside the hadron]: in qualitative agreement with the experimental evidence. In other words, our approach leads us, on a purely theoretical ground, to a dependence of {alpha}{sub s} on r which had been previously found only on phenomenological and heuristical grounds. We expect the above agreement to be also quantitative, on the basis of a few checks performed in this paper, and of further work of ours about calculating meson mass-spectra. (author).}
place = {Brazil}
year = {1991}
month = {Dec}
}