The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen

Abstract

The contribution from the axial-vector meson exchange to the potential of the muon-proton interaction in muonic hydrogen induced by anomalous axial-vector meson coupling to two photon state is calculated. It is shown that such contribution to the hyperfine splitting in muonic hydrogen is large and important for a comparison with precise experimental data. In the light of our result, the proton radius "puzzle" is discussed.

arXiv comment14 pages, 2 figures

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Cited by in corpus (14)

• All the Fun of the FAIR: Fundamental physics at the Facility for Antiproton and Ion Research
• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• Two-photon exchange correction to the Lamb shift and hyperfine splitting of S levels
• The next generation of laser spectroscopy experiments using light muonic atoms
• Hyperfine splitting in ordinary and muonic hydrogen
• Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen
• The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model
• Axial-vector exchange contribution to the Hyperfine Splitting
• Production of axial-vector mesons at $e^{+}{e}^{-}$ collisions with double-tagging as a way to constrain the axial meson LbL contribution to muon g-2 and/or hyperfine splitting of muonic hydrogen
• The LbL contribution to the muon g-2 from the axial-vector mesons exchanges within the nonlocal quark model
• Decay rates $f_1(1285)\to {\rho }^0{\pi }^{+}{\pi }^{-}$ and $a_1(1260)\to \omega {\pi }^{+}{\pi }^{-}$ in the Nambu -- Jona-Lasinio model
• Energy interval 3S-1S in muonic hydrogen
• Exact Relations for Two-Photon-Exchange Effect in Elastic $ep$ Scattering by Dispersion Relation and Hadronic Model
• Axial meson contribution to proton form factors