Precision Test of Many-Body QED in the Be${}^{+}$ $2p$ Fine Structure Doublet Using Short-Lived Isotopes

Abstract

Absolute transition frequencies of the $2s{}^2{\mathrm{S}}_{1/2}\to 2p{}^2{\mathrm{P}}_{1/2,3/2}$ transitions in Be${}^{+}$ were measured for the isotopes ${}^{7,9-12}$Be. The fine structure splitting of the $2p$ state and its isotope dependence are extracted and compared to results of \textit{ab initio} calculations using explicitly correlated basis functions, including relativistic and quantum electrodynamics effects at the order of $m{\alpha }^6$ and $m{\alpha }^7\ln \alpha$. Accuracy has been improved in both the theory and experiment by 2 orders of magnitude, and good agreement is observed. This represents one of the most accurate tests of quantum electrodynamics for many-electron systems, being insensitive to nuclear uncertainties.

arXiv comment5 pages, 2 figures

References in corpus (13)

• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• Nuclear Charge Radius of ${}^{12}$Be
• Fine structure of helium-like ions and determination of the fine structure constant
• g factor of lithiumlike silicon 28Si11+
• Quantum interference and light polarization effects in unresolvable atomic lines: application to a precise measurement of the 6,7 Li D2 lines
• Test of Time Dilation Using Stored Li+ Ions as Clocks at Relativistic Speed
• Isotope Shift Measurements of Stable and Short-Lived Lithium Isotopes for Nuclear Charge Radii Determination
• Many-electron QED corrections to the g factor of lithiumlike ions
• Fine and hyperfine splitting of the 2P state in Li and Be${}^{+}$
• Relativistic configuration-interaction calculation of energy levels of core-excited states in lithium-like ions: argon through krypton
• Quantum electrodynamics corrections to the $2P$ fine splitting in Li
• Convergence of all-order many-body methods: coupled-cluster study for Li
• Quantum electrodynamics $m{\alpha }^6$ and $m{\alpha }^7\ln \alpha$ corrections to the fine splitting in Li and Be${}^{+}$

Cited by in corpus (11)

• Search for New Physics with Atoms and Molecules
• Laser Spectroscopy for the Study of Exotic Nuclei
• Unexpectedly large difference of the electron density at the nucleus in the 4p ${}^2$P${}_{1/2,3/2}$ fine-structure doublet of Ca${}^{+}$
• Frequency-comb based collinear laser spectroscopy of Be for nuclear structure investigations and many-body QED tests
• Isotope shifts in ${}^{20,22}$Ne -- Precision measurements and global analysis in the framework of intermediate coupling
• QED calculation of the $2p$ fine structure in Li-like ions
• Fine and hyperfine splitting of the low-lying states of ${}^9$Be
• The nuclear charge radius of ${}^{13}\mathrm{C}$
• Detecting weak beryllium lines with CUBES
• Model-independent determination of nuclear charge radii from Li-like ions
• Splitting Isotope Shift in the $1s2p{}^3{P}_{0,1,2}$ Fine-Structure Triplet in ${}^{12,13,14}$C${}^{4+}$: Experiment and Theory