Strong evidences for correlated nonextensive quantum statistics in hadronic scatterings

In this paper, by introducing [SJ(p), Sθ(q)] Tsallis-like entropies, the nonextensive statistics of quantum states in the case of (0−12→0−12) scatterings are investigated. The nonextensivity indices p and q are determined from the experimental entropies by a fit with the optimal entropies [SJo1(p), Sθo1(q)] obtained from the principle of minimum distance in the space of states. In this way strong experimental evidences for the p-nonextensivities in the range 0.5≤p≤0.6 with q=p/(2p−1)>3, are obtained with high accuracy (CL>99%) from the pion-nucleon experimental phase shifts.