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.

arXiv comment23 pages, 8 Figures, 3 Tables

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Cited by in corpus (12)

• Ab initio calculation of nuclear structure corrections in muonic atoms
• The next generation of laser spectroscopy experiments using light muonic atoms
• The contribution of pseudoscalar mesons to hyperfine structure of muonic hydrogen
• Towards Precision Muonic X-Ray Measurements of Charge Radii of Light Nuclei
• Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen
• Hyperfine structure of S-states in muonic ions of lithium, beryllium and boron
• Hyperfine structure of P states in muonic ions of lithium, beryllium and boron
• Low-lying electron energy levels in three-particle electron-muon ions $(\mu eLi)$, $(\mu eBe)$, $(\mu eB)$
• Ground state hyperfine structure of light muon-electron ions
• Energy interval 3S-1S in muonic hydrogen
• Reexamination of vacuum-polarization corrections to the self-energy in muonic bound systems
• The contribution of pseudoscalar and axial-vector mesons to hyperfine structure of muonic hydrogen