Nuclear-structure corrections to the hyperfine splitting in muonic deuterium

Abstract

Nuclear structure corrections of orders $Z\alpha E_F$ and $(Z\alpha {)}^2{E}_F$ are calculated for the hyperfine splitting of the muonic deuterium. The obtained results disagree with previous calculations and lead to a $5\sigma$ disagreement with the current experimental value of the $2S$ hyperfine splitting in $\mu$D.

arXiv comment11 pages, 2 figures, updated neutron contribution

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• Zemach moments and radii of 2,3H and 3,4He
• Deuteron charge radius from the Lamb-shift measurement in muonic deuterium
• Empirical determination of the Bohr-Weisskopf effect in cesium and improved tests of precision atomic theory in searches for new physics
• Muonic vs electronic dark forces: a complete EFT treatment for atomic spectroscopy
• Higher-order QED corrections to the hyperfine splitting in ${}^3$He
• Two-photon exchange on neutron and the hyperfine splitting
• Fifth Force and Hyperfine Splitting in Bound Systems
• Nuclear polarizability effects in ${}^3$He${}^{+}$ hyperfine splitting
• Nuclear recoil correction to the hyperfine splitting in atomic systems
• Nuclear Predictions for $H$ Spectroscopy without Nuclear Errors
• Precision Nuclear-Spin Effects in Atoms: EFT Methods for Reducing Theory Errors
• Equation of motion for a bound system of charged particles
• Thermal radiative corrections to hyperfine structure of light hydrogen-like systems
• Recoil corrections to $\mu$H hyperfine splitting
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles
• Tensor Polarizability of the Nucleus and Angular Mixing in Muonic Deuterium