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.

7 pages

References in corpus (13)

• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• First Penning-trap mass measurement in the millisecond half-life range: the exotic halo nucleus 11Li
• Ground state wave function and energy of the lithium atom
• Nonrelativistic QED approach to the Lamb shift
• Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be${}^{+}$
• Precision Measurement of 11Li moments: Influence of Halo Neutrons on the 9Li Core
• Charge radii and electromagnetic moments of Li and Be isotopes from the ab initio no-core shell model
• Helium energy levels including $m{\alpha }^6$ corrections
• Hyperfine structure of Li and Be^+
• Hyperfine structure of the metastable 3P2 state of alkaline earth atoms as an accurate probe of nuclear magnetic octupole moments
• A new mass value for 7Li
• Nuclear vector polarizability correction to hyperfine splitting
• Singular Hylleraas three-electron integrals

Cited by in corpus (10)

• 3D NLTE spectral line formation of lithium in late-type stars
• Non-relativistic ab initio calculations for $2^{2}S$, $2^{2}P$ and $3^{2}D$ lithium isotopes: Applications to polarizabilities and dispersion interactions
• 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
• Frequency-comb based collinear laser spectroscopy of Be for nuclear structure investigations and many-body QED tests
• 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
• Detecting weak beryllium lines with CUBES