Saturation Of Optimal Entropic Resonance Limits In Pion-Nucleus Scattering In $\Delta (1236)$-Elementary Resonance Region

Abstract

In this paper, it is shown that the experimental values of the nonextensive scattering entropies $S_L(p)$ and $S_{\theta }(q)$ for the pion-nucleus (${\pi }^{0}He,{\pi }^{0}C,{\pi }^{0}O,{\pi }^{0}Ca$) scatterings, in the energy region corresponding to $\Delta (1236)$ resonance in the elementary pion-nucleon interaction, are well described by the entropic optimal resonance predictions $S_L^{o}1(p)$ and $S_{\theta }^{o}1(q)$ and when the nonextensivities indices are correlated by a Riesz-Thorin-like relation: 1/2p+1/2q=1.

Comments: 14 pages, 6 figures, 3 tables