The strong coupling constant: Its theoretical derivation from a geometric approach to hadron structure
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Since more than a decade, abi-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 αS, 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 ofr) and their asymptotic freedom (for small values ofr 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 αS onr 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 paper, and of further work of ours on calculating meson mass spectra.
Key wordsstrong coupling constant strong gravity bi-scale theories general relativity geometrical methods
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