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Hyperfine structure of the ground state muonic 3He atom

  • A. A. Krutov
  • A. P. MartynenkoEmail author
Regular Article

Abstract

On the basis of the perturbation theory in the fine structure constant α and the ratio of the electron to muon masses we calculate one-loop vacuum polarisation and electron vertex corrections and the nuclear structure corrections to the hyperfine splitting of the ground state of the muonic helium atom (µ e 3 2He). We obtain total results for the ground state hyperfine splitting Δ ν hfs = 4166.648 MHz which improves the previous calculation of Lakdawala and Mohr due to new corrections of orders α 5 and α 6. The remaining differences between our theoretical result and experimental value of the hyperfine splitting lie in the range of theoretical and experimental errors and require the subsequent investigation of higher order corrections.

Keywords

Vacuum Polarisation Order Perturbation Theory Second Order Perturbation Theory Muon State Pauli Form Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Samara State UniversitySamaraRussia

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