TY - JOUR A1 - Soff, Gerhard A1 - Müller, Berndt A1 - Rafelski, Johann T1 - Precise values for critical fields in quantum electrodynamics T2 - Zeitschrift für Naturforschung, A N2 - 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. Y1 - 2014 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/73991 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-739912 SN - 1865-7109 VL - 29 IS - 9 SP - 1267 EP - 1275 PB - Verlag der Zeitschrift für Naturforschung CY - Tübingen ER -