Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be${}^{+}$

Abstract

Accurate results for nonrelativistic energy, relativistic, QED, and finite nuclear mass corrections are obtained for $2^1{S}_{1/2}$, $3^1{S}_{1/2}$ and $2^1{P}_{1/2}$ states of the Li atom and Be${}^{+}$ ion. Our computational approach uses the Hylleraas basis set with the analytic integration and recursion relations. From comparison of experimental results for the isotope shifts to theoretical predictions including nuclear polarizabilities, we obtain nuclear charge radii for Li and Be isotopes.

arXiv comment19 pages, 8 tables, Phys. Rev. A in print

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Cited by in corpus (35)

• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• Precision Atomic Physics Techniques for Nuclear Physics with Radioactive Beams
• Nuclear Charge Radius of ${}^{12}$Be
• Laser Probing of Neutron-Rich Nuclei in Light Atoms
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• Quantum Monte Carlo study of the first-row atoms and ions
• Isotope Shift Measurements of Stable and Short-Lived Lithium Isotopes for Nuclear Charge Radii Determination
• Charge radii and electromagnetic moments of Li and Be isotopes from the ab initio no-core shell model
• Testing quantum electrodynamics in the lowest singlet states of beryllium atom
• QED calculation of the dipole polarizability of helium atom
• Nuclear effects in atomic transitions
• Ground state of Li and Be${}^{+}$ using explicitly correlated functions
• Mass- and field-shift isotope parameters for the $2s-2p$ resonance doublet of lithium-like ions
• Fine and hyperfine splitting of the 2P state in Li and Be${}^{+}$
• Relativistic configuration-interaction calculations of energy levels of the $1s^{2}2l$ and $1s2l2l^{\prime }$ states in lithium-like ions: carbon through chlorine
• Nuclear Charge Radii of ${}^{10,11}$B
• Nuclear Radii of Unstable Nuclei
• Hylleraas-configuration-interaction analysis of the low-lying states in the three-electron Li atom and Be+ ion
• Electron-correlation effects in the $g$-factor of light Li-like 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
• Applications of four-body exponentially correlated functions
• Calculations of polarizabilities and hyperpolarizabilities for the Be${}^{+}$ ion
• Atomic excitations during the nuclear ß- decay in light atoms
• Ground state hyperfine splitting in the Be${}^{+}$ ion
• Few-electron atomic ions in non-relativistic QED: the Ground state energy
• Calculation of Araki-Sucher correction for many-electron systems
• QED calculation of the $2p$ fine structure in Li-like ions
• Pseudopotential for the electron-electron interaction
• Benchmarking Many-body Approaches for the Determination of Isotope Shift Constants: Application to the Li, Be${}^{+}$ and Ar${}^{15+}$ Isoelectronic Systems
• Towards the analytic theory of Potential Energy Curves for diatomic molecules. Studying He${}_2^{+}$ and LiH diatomics as illustration
• Accurate determination of ${}^{6,7}$Li nuclear magnetic moments
• QED calculations of the $2p$-$2s$ transition energies in Li-like ions
• Nonlinear Classical Fields
• Using Koopmans' theorem for constructing basis sets: Approaching high Rydberg excited states of lithium with a compact Gaussian basis