Calculations of the 1sμ2se-electron-excited S(L=0) states in helium-muonic atoms

The bound-state energies and other properties are determined to high accuracy for the ground and first electron-excited S(L=0) states in the 3He2+μ-e- and 4He2+μ-e- helium-muonic atoms. Such highly accurate calculations are performed with the use of an advanced, recently developed, multibox variational approach. In particular the hyperfine splitting has been calculated for the 1sμ2se-electron-excited states in both helium-muonic atoms. The corresponding hyperfine splittings for these states are ≅520.786 MHz (3He2+μ-e-) and ≅558.055 MHz (4He2+μ-e-). The analogous splittings for the ground states are Δν(3He2+μ-e-)≅4166.393 MHz and Δν(4He2+μ-e-)≅4464.555 MHz, respectively