Spin-orbit corrections of order $m\alpha^6$ to the fine structure of $(37,35)$ state in $^4{He}^+\bar{p}$ atom

TL;DR

This paper presents precise calculations of hyperfine intervals in antiprotonic helium-4, incorporating advanced QED corrections of order mα^6 to improve theoretical accuracy.

Contribution

It introduces the derivation of an effective Hamiltonian including QED corrections of order mα^6 for hyperfine structure calculations in antiprotonic helium-4.

Findings

Numerical results for radiofrequency intervals between hyperfine sublevels.

Inclusion of QED corrections enhances theoretical precision.

Methodology applicable to similar exotic atomic systems.

Abstract

Precise numerical calculation of radiofrequency intervals between hyperfine sublevels of the $(37,35)$ state of the antiprotonic helium-4 atom is presented. Theoretical consideration includes the QED corrections of order $m\alpha^6$ to the electron spin-orbit interaction. The effective Hamiltonian is derived using the formalism of the nonrelativistic quantum electrodynamics (NRQED).