Nonextensive quantum statistics and saturation of the PMD-SQS optimality limit in hadron-hadron scattering
arXiv:nucl-th/0401009 · doi:10.1016/j.physa.2004.04.048
Abstract
In this paper, new results on the analysis in hadron-hadron scattering are obtained by using the nonextensive quantum entropy and principle of minimum distance in the space of quantum states (PMD-SQS). Using Tsallis-like scattering entropies, the optimality as well as the nonextensive statistical behavior of the quantum scattering systems are investigated in an unified manner. A connection between optimal states obtained from the principle of minimum distance in the space of quantum states and the most stringent (MaxEnt) entropic bounds on Tsallis-like entropies for quantum scattering, is established. The generalized entropic uncertainty relations as well as the correlation between the nonextensivities p and q of the scattering statistics are proved. New results on the experimental tests of the saturation of the 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. The nonextensivity indices p and q are determined from the experimental entropies by a fit with the optimal entropies obtained from the principle of minimum distance in the space of states. Strong experimental evidences for the p-nonextensivity index in the range p=0.6 with q=p/(2p-1)=3, is obtained from the experimental data.
17 pages, 3 figures
References in corpus (16)
- Interpretation of the nonextensitivity parameter in some applications of Tsallis statistics and Lévy distributions
- Thermodynamic Description of the Relaxation of Two-Dimensional Euler Turbulence Using Tsallis Statistics
- Generalized Statistics and Solar Neutrinos
- A nonextensive thermodynamical equilibrium approach in
- Non-extensive statistical mechanics and particle spectra in elementary interactions
- Equilibrium Distribution of Heavy Quarks in Fokker-Planck Dynamics
- The imprints of nonextensive statistical mechanics in high energy collisions
- Transverse momentum fluctuations due to temperature variation in high-energy nuclear collisions
- Application of nonextensive statistics to particle and nuclear physics
- Nonextensive statistics in stellar plasma and solar neutrinos
- Chaotic strings and standard model parameters
- The effects of nonextensive statistics on fluctuations investigated in event-by-event analysis of data
- Super-Kamiokande hep neutrino best fit: a possible signal of nonmaxwellian solar plasma
- Non-Extensive Statistics and Solar Neutrinos
- Nonextensive statistical mechanics - Applications to nuclear and high energy physics
- Traces of nonextensivity in particle physics due to fluctuations