Theoretical energies of low-lying states of light helium-like ions

Abstract

Rigorous quantum electrodynamical calculation is presented for energy levels of the 1^1S, 2^1S, 2^3S, 2^1P_1, and 2^3P_{0,1,2} states of helium-like ions with the nuclear charge Z=3...12. The calculational approach accounts for all relativistic, quantum electrodynamical, and recoil effects up to orders mα^6 and m^2/Mα^5, thus advancing the previously reported theory of light helium-like ions by one order in α.

18 pages, 9 tables, 1 figure, with several misprints corrected

References in corpus (5)

• ${\alpha }^4$ Ry corrections to singlet states of helium
• Improved theory of helium fine structure
• Reexamination of helium fine structure
• Helium energy levels including $m{\alpha }^6$ corrections
• The two-loop self-energy for the ground state of medium-Z hydrogen-like ions

Cited by in corpus (56)

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• Uncertainty Estimates for Theoretical Atomic and Molecular Data
• Theoretical transition frequencies beyond 0.1 ppb accuracy in H${}_2^{+}$, HD${}^{+}$, and antiprotonic helium
• Constraints on exotic spin-dependent interactions between electrons from helium fine-structure spectroscopy
• The $g$-factor of light ions for an improved determination of the fine-structure constant
• QED calculation of the dipole polarizability of helium atom
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• Higher-order recoil corrections for singlet states of the helium atom
• High-precision measurements of $n=2\to n=1$ transition energies and level widths in He- and Be-like Argon Ions
• Theoretical energy levels of $1sns$ and $1snp$ states of helium-like ions
• XUV frequency comb metrology on the ground state of helium
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• QED calculations of energy levels of helium-like ions with $5\le Z\le 30$
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• Non-adiabatic, Relativistic, and Leading-order QED Corrections for Rovibrational Intervals of ${}^4$He${}_2^{+}$ ($X{}^2{\Sigma }_{\mathrm{u}}^{+}$)
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• Complex scaled relativistic configuration-interaction study of the $LL$ resonances in helium-like ions: from Boron to Argon
• Measurement of a helium tune-out frequency: an independent test of quantum electrodynamics
• Weighted difference of g-factors of light Li-like and H-like ions for an improved determination of the fine-structure constant
• Atomic structure calculations of helium with correlated exponential functions
• Towards Precision Muonic X-Ray Measurements of Charge Radii of Light Nuclei
• QED calculation of electron-electron correlation effects in heliumlike ions
• High-Precision Determination of Oxygen-K$\alpha$ Transition Energy Excludes Incongruent Motion of Interstellar Oxygen
• Applications of four-body exponentially correlated functions
• Leading-order QED effects in the ground electronic state of molecular hydrogen
• QED and relativistic nuclear recoil corrections to the 413 nm tune-out wavelength for the $2{}^3{S}_1$ state of helium
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• Precise Frequency Measurement of the 2${}^1$S${}_0$-3${}^1$D${}_2$ Two-Photon Transition in atomic ${}^4$He
• Relativistic full-configuration-interaction calculations of magic wavelengths for the $2{}^3{S}_1\to 2{}^1{S}_0$ transition of helium isotopes
• QED calculation of ionization energies of $1snd$ states in helium
• X-ray frequency combs from optically controlled resonance fluorescence
• Revised ${}^3$He nuclear charge radius due to electronic hyperfine mixing
• Calculation of Araki-Sucher correction for many-electron systems
• Quantum electrodynamic corrections to the $1s3d$ states of the helium atom
• QED $m{\alpha }^7$ effects for triplet states of helium-like ions
• Fine and hyperfine splitting of the low-lying states of ${}^9$Be
• Collinear Laser Spectroscopy of $2{}^3{S}_1\to 2{}^3{P}_J$ transitions in helium-like ${}^{12}{\mathrm{C}}^{4+}$
• Higher-order QED corrections to the hyperfine splitting in ${}^3$He
• Relativistic two-electron atomic and molecular energies using $LS$ coupling and double groups: role of the triplet contributions to singlet states
• Application of the Hylleraas-$B$-spline basis set: Nonrelativistic Bethe logarithm of helium
• Ultra-Compact accurate wave functions for He-like and Li-like iso-electronic sequences and variational calculus. II. Spin-singlet (excited) and spin-triplet (lowest) states of the Helium sequence
• Ab initio potential energy curves, scattering lengths, and rovibrational levels of the He${}_2^{+}$ molecular ion in excited electronic states
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• Relativistic Bethe logarithm for triplet states of helium-like ions
• Collinear laser spectroscopy of highly charged ions produced with an electron beam ion source
• Helium-like and Lithium-like ions: Ground state energy
• Calculations of Bethe logarithms for Hydrogen and Helium atoms using B-splines in different gauges
• Ultra-Compact accurate wave functions for He-like iso-electronic sequences and variational calculus. IV. Spin-singlet states $(1sns)$ $n{}^{1}S$ family of the Helium sequence
• Hyperspherical three-body model calculation for the bound ${}^{1,3}$S-states of Coulombic systems