The theory of the Bohr-Weisskopf effect in the hyperfine structure

Abstract

For twenty years research into the anomalies in the HF spectra was going in a wrong direction by fighting the related Bohr-Weisskopf effect. As a way out, the model-independent way is proposed of estimating the nuclear radii from the hyper-fine splitting. The way is based on analogy of HFS to internal conversion coefficients, and the Bohr-Weisskopf effect - to the anomalies in the internal conversion coefficients. This makes transparent It is shown that the parameters which can be extracted from the data are the even nuclear moments of the magnetization distribution. The radii $R_2$ and (for the first time) $R_4$ are thus obtained by analysis of the experimental HFS for the H- and Li-like ions of ${}^{209}$Bi. The critical prediction of the HFS for the $2p_{1/2}$ state is discussed. The moments may be determined in this way only if the higher QED effects are properly taken into account. Therefore, this set of the parameters form a basis of a strict QED test. Experimental prospects are discussed, aimed at retrieving data on the HFS values for a set of a few-electron configurations of the atom.

13 pages

References in corpus (1)

• Comparison of hyperfine anomalies in the 5S_{1/2} and 6S_{1/2} levels of ^{85}Rb and ^{87}Rb

Cited by in corpus (13)

• Highly charged ions: optical clocks and applications in fundamental physics
• QED tests with highly-charged ions
• Precision measurement of the magnetic octupole moment in ${}^{45}$Sc as a test for state-of-the-art atomic- and nuclear-structure theory
• The Bohr-Weisskopf effect: from hydrogenlike-ion experiments to heavy-atom calculations of the hyperfine structure
• Magnetic moments of short-lived nuclei with part-per-million accuracy: Towards novel applications of $\beta$-detected NMR in physics, chemistry and biology
• Atomic calculations of hyperfine structure anomaly in gold
• Calculation of hyperfine magnetic anomaly in many-electron atoms
• Collinear laser spectroscopy of highly charged ions produced with an electron beam ion source
• Determination of hyperfine splittings and Landé $g_J$ factors of $5s{}^2{S}_{1/2}$ and $5p{}^2{P}_{1/2,3/2}$ states of ${}^{111,113}$Cd${}^{+}$ for a microwave frequency standard
• Anomalous internal conversion - the key to understanding the 209Bi riddle
• Relativistic atomic structure calculations in support of spectroscopy
• The critical notes to the solutions of the "puzzle" of hyperfine structure in 82+ and 80+ ${}^{209}$Bi ions
• The spin-flip-induced quadrupole resonance in odd-$A$ exotic atoms