Hyperfine structure of excited state of muonic helium atom

Abstract

The recoil, vacuum polarization and electron vertex corrections of first and second orders in the fine structure constant $\alpha$ and the ratio of electron to muon and electron to α-particle masses are calculated in the hyperfine splitting of the $1s_{1/2}^{(e)}2s_{1/2}^{(\mu )}$ state of muonic helium atom (μe ^4_2He) on the basis of a perturbation theory. We obtain total result for the muonically excited state hyperfine splitting $\Delta {\nu }^{hfs}=4295.66$ MHz which improves previous calculations due to the account of new corrections and more accurate treatment of the electron vertex contribution.

20 pages, 5 figures

References in corpus (4)

• New Physics and the Proton Radius Problem
• Ground State Hyperfine Structure of Muonic Helium Atom
• Hyperfine structure of the ground state muonic He-3 atom
• Three-Loop Contribution to Hyperfine Splitting in Muonium: Polarization Corrections to Light by Light Scattering Blob

Cited by in corpus (3)

• Ground state hyperfine structure of light muon-electron ions
• Low-lying electron energy levels in three-particle electron-muon ions $(\mu eLi)$, $(\mu eBe)$, $(\mu eB)$
• Ground state hyperfine structure in muonic lithium ions