Nonextensive quantum statistics and saturation of the PMD-SQS optimality limit in hadron–hadron scattering

In this paper, new results on the analysis of hadron–hadron scattering (πN,KN,K̄N, etc.) are obtained by using the nonextensive quantum entropy and principle of minimum distance in the space of quantum states (PMD-SQS). So, using [SJ(p), Sθ(q),SJθ(p),S̄Jθ(p,q)]-Tsallis-like scattering entropies, the optimality as well as the nonextensive statistical behavior of the [Jandθ]-quantum systems of states produced in hadronic scatterings are investigated in an unified manner. New results on the experimental tests of the saturation of the PMD-SQS-optimality limit, as well as on the test of optimal entropic bands obtained by using the experimental pion–nucleon, kaon–nucleon, antikaon–nucleon phase shifts, are presented. In this way strong experimental evidences for the p-nonextensivities index in the range p=0.6 with q=p/(2p−1)=3, is obtained from the experimental data of the (πN,KN,K̄N)-scattering.