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Entropy 2017, 19(7), 293; doi:10.3390/e19070293

Extraction of the Proton and Electron Radii from Characteristic Atomic Lines and Entropy Principles

1
Faculty of Chemical Engineering, Central University of Ecuador, 170521 Quito, Ecuador
2
Sciences Technologies et Sante (STS), Université Paul Sabatier, 31062 Toulouse, France
*
Author to whom correspondence should be addressed.
Received: 13 April 2017 / Revised: 8 June 2017 / Accepted: 9 June 2017 / Published: 29 June 2017
(This article belongs to the Special Issue Quantum Mechanics: From Foundations to Information Technologies)
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Abstract

We determine the proton and electron radii by analyzing constructive resonances at minimum entropy for elements with atomic number Z ≥ 11.We note that those radii can be derived from entropy principles and published photoelectric cross sections data from the National Institute of Standards and Technology (NIST). A resonance region with optimal constructive interference is given by a principal wavelength λ of the order of Bohr atom radius. Our study shows that the proton radius deviations can be measured. Moreover, in the case of the electron, its radius converges to electron classical radius with a value of 2.817 fm. Resonance waves afforded us the possibility to measure the proton and electron radii through an interference term. This term, was a necessary condition in order to have an effective cross section maximum at the threshold. The minimum entropy means minimum proton shape deformation and it was found to be (0.830 ± 0.015) fm and the average proton radius was found to be (0.825 − 0.0341; 0.888 + 0.0405) fm. View Full-Text
Keywords: nuclear bragg diffraction; minimum entropy; proton and electron radii; low energy nuclear bragg diffraction; minimum entropy; proton and electron radii; low energy
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Jiménez, E.; Recalde, N.; Chacón, E.J. Extraction of the Proton and Electron Radii from Characteristic Atomic Lines and Entropy Principles. Entropy 2017, 19, 293.

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