Lamb shift in muonic ions of lithium, beryllium and boron

TL;DR

This paper provides precise calculations of the Lamb shift in various muonic lithium, beryllium, and boron ions, incorporating higher-order quantum electrodynamics effects to aid future experimental and nuclear radius studies.

Contribution

The study introduces improved Lamb shift calculations in muonic ions by including new higher-order corrections, enhancing accuracy over previous models.

Findings

Results are consistent with prior calculations.

Inclusion of new corrections improves precision.

Data can assist future experimental measurements.

Abstract

We present a precise calculation of the Lamb shift $(2P_{1/2}-2S_{1/2})$ in muonic ions $(\mu ^6_3Li)^{2+},~(\mu ^7_3Li)^{2+}$, $(\mu ^9_4Be)^{3+},~(\mu ^{10}_4Be)^{3+}$, $(\mu ^{10}_5B)^{4+},~(\mu ^{11}_5B)^{4+}$. The contributions of orders $\alpha^3\div\alpha^6$ to the vacuum polarization, nuclear structure and recoil, relativistic effects are taken into account. Our numerical results are consistent with previous calculations and improve them due to account of new corrections. The obtained results can be used for the comparison with future experimental data, and extraction more accurate values of nuclear charge radii.