Fine structure of the muonic 4 He ion

On the basis of quasi-potential approach to the bound state problem in QED we calculate the vacuum polarization, recoil and structure corrections of orders α 5 and α 6 to the fine splitting interval Δ E fs = E (2 P 3/2 ) − E (2 P 1/2 ) in muonic 2 4 He ion. The resulting value Δ E fs = 146180.68 μeV provides reliable guideline in performing a comparison with the relevant experimental data.