Testing quantum electrodynamics in the lowest singlet states of beryllium atom

Abstract

High-precision results are reported for the energy levels of $2{}^{1}S$ and $2{}^{1}P$ states of the beryllium atom. Calculations are performed using fully correlated Gaussian basis sets and taking into account the relativistic, quantum electrodynamics (QED), and finite nuclear mass effects. Theoretical predictions for the ionization potential of the beryllium ground state $75\,192.699(7) \icm$ and the $2{}^{1}P\to 2{}^{1}S$ transition energy $42\,565.441(11) \icm$ are compared to the known but less accurate experimental values. The accuracy of the four-electron computations approaches that achieved for the three-electron atoms, which enables determination of the nuclear charge radii and precision tests of QED.

References in corpus (4)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• ${\alpha }^4$ Ry corrections to singlet states of helium
• Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be${}^{+}$
• Helium energy levels including $m{\alpha }^6$ corrections

Cited by in corpus (19)

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• Pair potential with submillikelvin uncertainties and nonadiabatic treatment of the halo state of helium dimer
• Ab initio potential energy curve for the ground state of beryllium dimer
• Explicitly correlated wave function for a boron atom
• Quantum electrodynamics corrections to the $2P$ fine splitting in Li
• Generalized Pauli constraints in small atoms
• Explicitly correlated electronic structure calculations with transcorrelated matrix product operators
• QED effects on the nuclear magnetic shielding of ${}^3$He
• Evaluation of the Bethe logarithm: from atom to chemical reaction
• Calculation of Araki-Sucher correction for many-electron systems
• Fine and hyperfine splitting of the low-lying states of ${}^9$Be
• Regularized relativistic corrections for polyelectronic and polyatomic systems with explicitly correlated Gaussians
• Atomic Bethe logarithm in the mean-field approximation
• Unorthodox dimensional interpolations for He, Li, Be atoms and hydrogen molecule
• Correlation energies for many-electron atoms with explicitly correlated Slater functions
• Size consistency and counterpoise correction in explicitly correlated calculations of interaction energies and interaction-induced properties
• Non-iterative Triples for Transcorrelated Coupled Cluster Theory
• Computing quantum correlation functions by Importance Sampling method based on path integrals