TY - JOUR
T1 - Precise Values for Critical Fields in Quantum Electrodynamics
AU - Soff, Gerhard
AU - Müller, Berndt
AU - Rafelski, Johann
N1 - Funding Information:
* Work supported by Deutsche Forschungsgemeinschaft, by Bundesministerium für Bildung und Wissenschaft, and by Gesellschaft für Schwerionenforschung (GSI). ** Supported by US-Atomic Energy Comission.
PY - 1974/9/1
Y1 - 1974/9/1
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> Zer 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 Rer(U — U) = 34.7 ± 2 fm and RCT(U—C f) — 47.7 ± 2 fm. We shortly consider the possibility of spontaneous muon production in muonic supercritical fields.
AB - 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> Zer 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 Rer(U — U) = 34.7 ± 2 fm and RCT(U—C f) — 47.7 ± 2 fm. We shortly consider the possibility of spontaneous muon production in muonic supercritical fields.
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U2 - 10.1515/zna-1974-0905
DO - 10.1515/zna-1974-0905
M3 - Article
AN - SCOPUS:76249124513
SN - 0932-0784
VL - 29
SP - 1267
EP - 1275
JO - Zeitschrift fur Naturforsch.ung - Section A Journal of Physical Sciences
JF - Zeitschrift fur Naturforsch.ung - Section A Journal of Physical Sciences
IS - 9
ER -