Ground state hyperfine structure of light muon-electron ions

Abstract

The ground state hyperfine splitting of light muon-electron ions of lithium, beryllium, boron and helium is calculated on the basis of analytical perturbation theory in terms of small parameters of the fine structure constant and electron-muon mass ratio. The corrections of vacuum polarization, nuclear structure and recoil effects and electron vertex corrections are taken into account. The dependence of the corrections on the nucleus charge Z is studied. The obtained total values of hyperfine splitting intervals can be used for comparison with future experimental data.

35 pages, 9 figures

References in corpus (4)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• Lamb shift in muonic ions of lithium, beryllium and boron
• Technical Design Report for the Paul Scherrer Institute Experiment R-12-01.1: Studying the Proton "Radius" Puzzle with μp Elastic Scattering
• Ground State Hyperfine Structure of Muonic Helium Atom