https://doi.org/10.1140/epjd/e2003-00018-8
Nuclear size correction to the hyperfine splitting in low-Z hydrogen-like atoms
1
Department of Physics, St. Petersburg State University,
Oulianovskaya 1, Petrodvorets, St. Petersburg 198504, Russia
2
Max-Planck-Institut für Physik Komplexer Systeme,
Nöthnitzer Str. 38, 01187
Dresden, Germany
3
Institut für Theoretische
Physik, TU Dresden, Mommsenstraße 13, 01062 Dresden, Germany
Corresponding author: a plunien@physik.tu-dresden.de
Received:
18
March
2002
Revised:
14
November
2002
Published online:
28
January
2003
The finite nuclear size effect on the hyperfine splitting of low-Z hydrogen-like atoms is studied in the external field approximation. A simple non-relativistic formula is proposed which expresses the nuclear size correction to the hyperfine splitting in terms of moments of the nuclear charge and magnetization distribution. The numerical results obtained via this formula are compared with corresponding results derived by means of the Zemach formula. A relativistic formula for the nuclear size correction to the hyperfine splitting is also derived.
PACS: 31.30.Jv – Relativistic and quantum electrodynamic effects in atoms and molecules / 31.30.Gs – Hyperfine interactions and isotope effects, Jahn-Teller effect
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003