PRINCIPLE OF MINIMUM COMPLEXITY AS A NEW PRINCIPLE IN HADRONIC SCATTERING

In this paper a measure of complexity of the system of [J and θ]-quantum states produced in hadronic scattering is introduced in terms of the [SJ(p), Sθ(q)] – scattering entropies. We presented strong experimental evidence for the saturation of the 11 [( ) ( )] oo J Sp S q θ ,− PMD-SQS optimal limits in the pion-nucleon and kaon-nucleon scatterings. The validity of a principle of minimum complexity in hadronic interaction is supported with high accuracy (CL > 99%) by the experimental data on pion-nucleon especially at energies higher than 2 GeV. [( ), Sp θ , () ] Sq a measure of the complexity [5] of quantum scattering in terms of Tsallis-like entropies [6] is proposed. Then, the nonextensive statistical behavior, optimality [1] and complexity of the [J and θ]-quantum states in hadronic scatterings are investigated in an unified manner. A connection between optimal states obtained from the principle of minimum distance in the space of quantum states (PMD-SQS)[1] and the most stringent (MaxEnt) entropic bounds on Tsallis-like entropies for quantum scattering is established. A measure of the complexity of quantum scattering in terms of Tsallis-like entropies is proposed. The results on the experimental tests of the PMD-SQSoptimality, as well as on the complexity, obtained by using the experimental pion-nucleon pion-nucleus phase shifts, are presented. Then, the nonextensivity indices p and q are determined from the experimental entropies by a fit with the optimal entropies 1 [( ), o J Sp θ 1 () ]