Pseudoscalar pole terms contributions to hadronic light-by-light corrections to the muonium hyperfine splitting

Abstract

The contribution of pseudoscalar pole diagrams to the hadronic light-by-light corrections of order alpha^3 E_F to the ground state hyperfine splitting in hydrogenic atom is calculated in the pseudoscalar pole terms approximation. The vector dominance model for the form factor of the transition of a pseudoscalar meson into two photons is used. With the account of new experimental data on the cross sections sigma (e^+e^-\to ρ, ω\to π^0(η)γ) in the SND and CMD-2 experiments some other hadronic corrections to the muonium hyperfine splitting are calculated.

7 pages, REVTEX, 5 figures

References in corpus (7)

• Precise Measurement of the Positive Muon Anomalous Magnetic Moment
• Resonance estimates of O(p^6) low-energy constants and QCD short-distance constraints
• Comment on the Pion Pole Part of the Light-by-Light Contribution to the Muon $g-2$
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• Study of the Process e+ e- ---> eta gamma in c.m. Energy Range 600-1380 MeV at CMD-2
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Cited by in corpus (7)

• 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
• The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
• Hadronic Light-by-Light Scattering in the Muonium Hyperfine Splitting
• The contribution of pseudoscalar mesons to hyperfine structure of muonic hydrogen
• Hadronic effects in leptonic systems: muonium hyperfine structure and anomalous magnetic moment of muon
• The contribution of pseudoscalar and axial-vector mesons to hyperfine structure of muonic hydrogen