On Hyperfine Structure of the Rotationally Excited 1sμnℓe-States in Helium Muonic Atoms

The new approach is develop to determine the hyperfine structure of the rotationally excited 1sµnℓe-states in the three-body helium-muonic 3He µ e and 4He µ e atoms. The formulas derived in this study allow one to determine the hyperfine structure splittings for an arbitrary rotationally excited 1sµnℓe-state in the three-body helium-muonic atoms. We also created the new approximate method which can be used for fast numerical evaluations of the hyperfine structure splittings in the both 1sµnpe and 1sµnde-states of the 3He µ e and 4He µ e atoms. Similar formulas were never produced in earlier studies.