https://doi.org/10.1140/epjd/e20020050
Hyperfine structure of the ground and first excited states in light hydrogen-like atoms and high-precision tests of QED
1
D.I. Mendeleev Institute for Metrology, 198005 St. Petersburg, Russia
2
Max-Planck-Institut für Quantenoptik, 85748 Garching, Germany
3
Pulkovo Observatory, 196140 St. Petersburg, Russia
Corresponding author: a sek@mpq.mpg.de
Received:
22
September
2001
Published online: 15 April 2002
We consider hyperfine splitting of 1s and, in part, of 2s levels in light
hydrogen-like atoms: hydrogen, deuterium, tritium, helium-3 ion, muonium
and positronium. We discuss present status of precision theory and
experiment for the hfs intervals. We pay a special attention to a
specific difference, 
, which
is known experimentally for hydrogen, deuterium and 
ion.
The difference is weakly affected by the effects of the nuclear structure and thus
may be calculated with a high accuracy. We complete a calculation of the fourth order QED contributions to this
difference and present here new results on corrections due to the nuclear effects. Our theoretical predictions
appear to be in a fair agreement with available experimental data.
Comparison of the experimental data with our examination of D21
allows to test the state-dependent sector of theory of the hfs separation of the 1s and 2s
levels in the light hydrogen-like atoms up to 10-8.
PACS: 12.20.Fv – Experimental tests / 21.45.+v – Few-body systems / 31.30.Jv – Relativistic and quantum electrodynamic effects in atoms and molecules / 32.10.Fn – Fine and hyperfine structure
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
