Calculation of francium hyperfine anomaly

Abstract

The Dirac-Hartree-Fock plus many-body perturbation theory (DHF+MBPT) method has been used to calculate hyperfine structure constants for Fr. Calculated hyperfine structure anomaly for hydrogen-like ion has been shown to be in good agreement with analytical expressions. It has been shown that the ratio of the anomalies for $s$ and $p_{1/2}$ states is weakly dependent on the principal quantum number. Finally, we estimate Bohr--Weisskopf corrections for several Fr isotopes. Our results may be used to improve experimental accuracy for the nuclear $g$ factors of short-lived isotopes.

arXiv comment5 pages, 3 tables, 2 figures. arXiv admin note: text overlap with arXiv:1703.10048

References in corpus (7)

• Parity non-conservation in thallium
• Table of hyperfine anomaly in atomic systems
• Calculation of isotope shifts for cesium and francium
• Laser spectroscopy of francium isotopes at the borders of the region of reflection asymmetry
• Correlation Trends in the Hyperfine Structures of ${}^{210,212}$Fr
• A development of the CI + all-order method and application to the parity-nonconserving amplitude and other properties of Pb
• Comparison of hyperfine anomalies in the 5S_{1/2} and 6S_{1/2} levels of ^{85}Rb and ^{87}Rb

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