Fine and hyperfine splitting of the 2P state in Li and Be${}^{+}$

Abstract

Accurate calculations of the fine and hyperfine splitting of the 2P state in Li and Be${}^{+}$ isotopes using the explicitly correlated Hylleraas basis set are presented. Theoretical predictions including the mixing of $P_{1/2}$ and $P_{3/2}$ states, relativistic and quantum electrodynamics effects on hyperfine interactions, are compared with experimental values. It is concluded that precise spectroscopic determination of the nuclear magnetic moments requires elimination of nuclear structure effects by combining measurements for two different states.

arXiv comment7 pages

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• Ground state of Li and Be${}^{+}$ using explicitly correlated functions
• Survey of hyperfine structure measurements in alkali atoms
• Quantum electrodynamics corrections to the $2P$ fine splitting in Li
• Precision calculation of hyperfine structure and the Zemach radii of ${}^{6,7}$Li${}^{+}$ ions
• Frequency-comb based collinear laser spectroscopy of Be for nuclear structure investigations and many-body QED tests
• D1 and D2 lines in ${}^{6,7}$Li including QED effects
• Precision Test of Many-Body QED in the Be${}^{+}$ $2p$ Fine Structure Doublet Using Short-Lived Isotopes
• Hyperfine structure of the $2{}^{3}P$ state in ${}^9$Be and the nuclear quadrupole moment
• Fine and hyperfine splitting of the low-lying states of ${}^9$Be
• QED calculation of the $2p$ fine structure in Li-like ions
• Relativistic effects on the hyperfine structures of 2p4(3P)3p 2Do, 4Do and 4Po in 19F I
• Detecting weak beryllium lines with CUBES
• On the hyperfine structures of the ground state(s) in the ${}^6$Li and ${}^7$Li atoms