Ground-state hyperfine structure of light muon-electron ions

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.