Magnetic shielding in the atomic hydrogen anion

Abstract

The atomic hydrogen anion H${}^{-}$ is the lightest stable anion and its bound states and resonances are well studied in the literature. Due to the planned comparison of the bare antiproton to H${}^{-}$ in a Penning trap, we study the magnetic shielding of H${}^{-}$ using the nonrelativistic quantum electrodynamics theory, by accurately calculating the non-relativistic shielding, as well as finite nuclear mass, relativistic, and partially QED corrections. We find that the finite nuclear mass correction is quite significant in H${}^{-}$ contributing about $0.1\%$ of the total shielding, which is more than twice as much as the relativistic correction. Our final result for the shielding constant has a nine-parts-per-trillion accuracy and paves the way for direct comparison of the antiproton-to-proton magnetic moments.

References in corpus (5)

• Direct measurement of the ${}^3$He${}^{+}$ magnetic moments
• QED effects on the nuclear magnetic shielding of ${}^3$He
• Bound state properties and photodetachment of the negatively charged hydrogen ions
• Nuclear magnetic shielding in heliumlike ions
• QED theory of the nuclear magnetic shielding in H and ${}^3$He