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.

19 pages, 8 tables, Phys. Rev. A in print

References in corpus (8)

• ${\alpha }^4$ Ry corrections to singlet states of helium
• Ground state wave function and energy of the lithium atom
• Improved theory of helium fine structure
• Helium energy levels including $m{\alpha }^6$ corrections
• Effective-range approach and scaling laws for electromagnetic strength in neutron-halo nuclei
• A new mass value for 7Li
• Nuclear vector polarizability correction to hyperfine splitting
• Singular Hylleraas three-electron integrals

Cited by in corpus (19)

• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• Charge radii and electromagnetic moments of Li and Be isotopes from the ab initio no-core shell model
• QED calculation of the dipole polarizability of helium atom
• Nuclear effects in atomic transitions
• Ground state of Li and Be${}^{+}$ using explicitly correlated functions
• Relativistic configuration-interaction calculations of energy levels of the $1s^{2}2l$ and $1s2l2l^{\prime }$ states in lithium-like ions: carbon through chlorine
• Fine and hyperfine splitting of the 2P state in Li and Be${}^{+}$
• Nuclear Charge Radii of ${}^{10,11}$B
• 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
• Calculations of polarizabilities and hyperpolarizabilities for the Be${}^{+}$ ion
• Ground state hyperfine splitting in the Be${}^{+}$ ion
• Calculation of Araki-Sucher correction for many-electron systems
• QED calculation of the $2p$ fine structure in Li-like ions
• Benchmarking Many-body Approaches for the Determination of Isotope Shift Constants: Application to the Li, Be${}^{+}$ and Ar${}^{15+}$ Isoelectronic Systems
• Accurate determination of ${}^{6,7}$Li nuclear magnetic moments
• QED calculations of the $2p$-$2s$ transition energies in Li-like ions
• Using Koopmans' theorem for constructing basis sets: Approaching high Rydberg excited states of lithium with a compact Gaussian basis