Fine and hyperfine structure of the muonic 3He ion

On the basis of quasipotential approach to the bound state problem in QED we calculate the vacuum polarization, relativistic, recoil, structure corrections of orders α5 and α6 to the fine structure interval ΔEfs = E(2P3/2) - E(2P1/2) and to the hyperfine structure of the energy levels 2P1/2 and 2P3/2 in muonic 23He ion. The resulting values ΔEfs = 144 803.15 μeV, Δ E-tildehfs(2P1/2) = -58 712.90 μeV, Δ E-tildehfs(2P3/2) = -24 290.69 μeV provide reliable guidelines in performing a comparison with the relevant experimental data.