dorsal/arxiv
View SchemaNonextensive quantum statistics and saturation of the PMD-SQS optimality limit in hadron-hadron scattering
| Authors | D. B. Ion, M. L. Ion |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0401009 |
| URL | https://arxiv.org/abs/nucl-th/0401009 |
| DOI | 10.1016/j.physa.2004.04.048 |
| Journal | Physica A340 (2004) 501-512 |
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.
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"abstract": "In this paper, new results on the analysis in hadron-hadron scattering are\nobtained by using the nonextensive quantum entropy and principle of minimum\ndistance in the space of quantum states (PMD-SQS). Using Tsallis-like\nscattering entropies, the optimality as well as the nonextensive statistical\nbehavior of the quantum scattering systems are investigated in an unified\nmanner. A connection between optimal states obtained from the principle of\nminimum distance in the space of quantum states and the most stringent (MaxEnt)\nentropic bounds on Tsallis-like entropies for quantum scattering, is\nestablished. The generalized entropic uncertainty relations as well as the\ncorrelation between the nonextensivities p and q of the scattering statistics\nare proved. New results on the experimental tests of the saturation of the\noptimality limit}, as well as on the test of optimal entropic bands obtained by\nusing the experimental pion-nucleon, kaon-nucleon, antikaon-nucleon phase\nshifts, are presented. The nonextensivity indices p and q are determined from\nthe experimental entropies by a fit with the optimal entropies obtained from\nthe principle of minimum distance in the space of states. Strong experimental\nevidences for the p-nonextensivity index in the range p=0.6 with q=p/(2p-1)=3,\nis obtained from the experimental data.",
"arxiv_id": "nucl-th/0401009",
"authors": [
"D. B. Ion",
"M. L. Ion"
],
"categories": [
"nucl-th",
"hep-th"
],
"doi": "10.1016/j.physa.2004.04.048",
"journal_ref": "Physica A340 (2004) 501-512",
"title": "Nonextensive quantum statistics and saturation of the PMD-SQS optimality limit in hadron-hadron scattering",
"url": "https://arxiv.org/abs/nucl-th/0401009"
},
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