Hyperfine structure of S-states in muonic deuterium

Abstract

On the basis of quasipotential method in quantum electrodynamics we calculate corrections of order ${\alpha }^5$ and ${\alpha }^6$ to hyperfine structure of S-wave energy levels of muonic deuterium. Relativistic corrections, effects of vacuum polarization in first, second and third orders of perturbation theory, nuclear structure and recoil corrections are taken into account. The obtained numerical values of hyperfine splitting $\Delta E^{hfs}(1S)=50.2814$ meV (1S state) and $\Delta E^{hfs}(2S)=6.2804$ meV (2S state) represent reliable estimate for a comparison with forthcoming experimental data of CREMA collaboration. The hyperfine structure interval ${\Delta }_{12}=8\Delta E^{hfs}(2S)-\Delta E^{hfs}(1S)=-0.0379$ meV can be used for precision check of quantum electrodynamics predictions for muonic deterium.

18 pages, 7 figures

References in corpus (5)

• The RMS Charge Radius of the Proton and Zemach Moments
• The Electromagnetic Self-Energy Contribution to M_p - M_n and the Isovector Nucleon Magnetic Polarizability
• QED is not endangered by the proton's size
• Third Zemach Moment of the Proton
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the hyperfine splitting of S-states in muonic hydrogen

Cited by in corpus (3)

• Lamb shift in muonic ions of lithium, beryllium and boron
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the Lamb shift in light muonic atoms
• Hyperfine structure of P states in muonic ions of lithium, beryllium and boron