We present a precise calculation of the Lamb shift $(2P_{1/2}-2S_{1/2})$ in muonic ions ${\left({\mu }_3^6\text{Li}\right)}^{2+},{\left({\mu }_3^7\text{Li}\right)}^{2+}, {\left({\mu }_4^9\text{Be}\right)}^{3+},{\left({\mu }_4^{10}\text{Be}\right)}^{3+}, {\left({\mu }_5^{10}\text{B}\right)}^{4+},{\left({\mu }_5^{11}\text{B}\right)}^{4+}$. The contributions of orders ${\alpha }^3÷{\alpha }^6$ to the vacuum polarization, nuclear structure and recoil, and relativistic effects are taken into account. Our numerical results are consistent with previous calculations and improved by additional corrections. The obtained results can be used for the comparison with future experimental data, and extraction more accurate values of nuclear charge radii.

• Received 1 October 2016

DOI:https://doi.org/10.1103/PhysRevA.94.062505