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

TL;DR

This paper uses NRQED to accurately calculate relativistic fine and hyperfine structure corrections in hydrogen-like atoms at high orders, confirming the method's validity and potential for complex systems.

Contribution

The paper demonstrates the application of NRQED to high-order corrections in hydrogen, confirming its consistency with relativistic theory and verifying different NRQED Lagrangian forms.

Findings

Results agree with relativistic theory

NRQED potentials are validated for high-order corrections

Method applicable to complex atoms and molecules

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.