NRQED approach to the fine and hyperfine structure corrections of order $m{\alpha }^6$ and $m{\alpha }^6(m/M)$ -- Application to the hydrogen atom

Abstract

NRQED approach to the fine and hyperfine structure corrections of order m$\alpha$ 6 and m$\alpha$ 6 (m/M)-Application to the hydrogen atom The NRQED approach is applied to the calculation of relativistic corrections to the fine and hyperfine structure of hydrogenlike atoms at orders m$\alpha$ 6 and m$\alpha$ 6 (m/M). Results are found to be in agreement with those of the relativistic theory. This confirms that the derived NRQED effective potentials are correct, and may be used for studying more complex atoms or molecules. Furthermore, we verify the equivalence between different forms of the NRQED Lagrangian used in the literature.

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Cited by in corpus (15)

• Proton-Electron Mass Ratio from Laser Spectroscopy of HD${}^{+}$ at the Part-Per-Trillion Level
• 4-component relativistic Hamiltonian with effective QED potentials for molecular calculations
• Precision calculation of hyperfine structure and the Zemach radii of ${}^{6,7}$Li${}^{+}$ ions
• All-order relativistic computations for atoms and molecules using an explicitly correlated Gaussian basis
• Hyperfine structure in the H${}_2^{+}$ and HD${}^{+}$ molecular ions at $m{\alpha }^6$ order
• The Bethe-Salpeter QED wave equation for bound-state computations of atoms and molecules
• Variational versus perturbative relativistic energies for small and light atomic and molecular systems
• Higher-order corrections to spin-orbit and spin-spin tensor interactions in hydrogen molecular ions: theory and application to H${}_2^{+}$
• Recoil corrections to the energy levels of hydrogenic atoms
• Foldy-Wouthuysen Transformation in Strong Magnetic Fields and Relativistic Corrections for Quantum Cyclotron Energy Levels
• Quantum field theory for multipolar composite bosons with mass defect and relativistic corrections
• High-precision solution of the Dirac Equation for the hydrogen molecular ion by an iterative method
• Eighth-Order Foldy-Wouthuysen Transformation
• Spin-orbit interaction in the HD${}^{+}$ ion
• Splitting Isotope Shift in the $1s2p{}^3{P}_{0,1,2}$ Fine-Structure Triplet in ${}^{12,13,14}$C${}^{4+}$: Experiment and Theory