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.

References in corpus (6)

• ${\alpha }^4$ Ry corrections to singlet states of helium
• Nonrelativistic QED approach to the Lamb shift
• The NRQED lagrangian at order 1/M^4
• Relativistic corrections of mα^6(m/M) order to the hyperfine structure of the H_2^+ molecular ion
• Quantum electrodynamics corrections to the $2P$ fine splitting in Li
• Quantum electrodynamic corrections to the hyperfine structure of excited S states

Cited by in corpus (6)

• 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
• Hyperfine structure in the H${}_2^{+}$ and HD${}^{+}$ molecular ions at $m{\alpha }^6$ order
• 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${}_2^{+}$
• Spin-orbit interaction in the HD${}^{+}$ ion