Lamb shift in muonic ions of lithium, beryllium and boron

Abstract

We present a precise calculation of the Lamb shift $(2P_{1/2}-2S_{1/2})$ in muonic ions $({\mu }_3^{6}Li{)}^{2+},({\mu }_3^{7}Li{)}^{2+}$, $({\mu }_4^{9}Be{)}^{3+},({\mu }_4^{10}Be{)}^{3+}$, $({\mu }_5^{10}B{)}^{4+},({\mu }_5^{11}B{)}^{4+}$. The contributions of orders ${\alpha }^3÷{\alpha }^6$ 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.

23 pages, 8 Figures, 3 Tables

References in corpus (2)

• Hyperfine structure of S-states in muonic deuterium
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the hyperfine splitting of S-states in muonic hydrogen

Cited by in corpus (6)

• Towards Precision Muonic X-Ray Measurements of Charge Radii of Light Nuclei
• Hyperfine structure of P states in muonic ions of lithium, beryllium and boron
• Ground state hyperfine structure of light muon-electron ions
• Low-lying electron energy levels in three-particle electron-muon ions $(\mu eLi)$, $(\mu eBe)$, $(\mu eB)$
• Energy interval 3S-1S in muonic hydrogen
• Reexamination of vacuum-polarization corrections to the self-energy in muonic bound systems