Precise values for critical fields in quantum electrodynamics

  • A careful investigation of different corrections to binding energies of electrons in almost critical fields is performed. We investigate quantitatively the influence of the nuclear charge parameters, nuclear mass, degree of ionization on the value of the critical charge of the nucleus. Rather qualitative arguments are given to establish the contribution of the quantumelectrodynamic corrections, which are found to be small. Some phenomenological modifications of QED are quantitatively investigated and found to be of negligible influence on the value of the critical field. For heavy ion collisions with Z1+Z2>Zcr the critical separations between ions are given as results of precise solutions of the relativistic two coulomb center problem. Corrections due to electron-electron interaction are considered. We find (with present theoretical accuracy) Zcr=173±2, in the heavy ion collisions Rcr(U-U) = 34.7±2 fm and Rcr (U-Cf)=47.7±2 fm. We shortly consider the possibility of spontaneous muon production in muonic supercritical fields.

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Author:Gerhard SoffGND, Berndt MüllerORCiDGND, Johann RafelskiORCiDGND
Parent Title (German):Zeitschrift für Naturforschung, A
Publisher:Verlag der Zeitschrift für Naturforschung
Place of publication:Tübingen
Document Type:Article
Date of Publication (online):2014/06/02
Year of first Publication:1974
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2023/06/24
Page Number:9
First Page:1267
Last Page:1275
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - Namensnennung-Nicht kommerziell-Keine Bearbeitung 3.0