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.

arXiv comment18 pages, 7 figures

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Cited by in corpus (14)

• Theory of the n=2 levels in muonic deuterium
• Lamb shift in muonic ions of lithium, beryllium and boron
• Nuclear-structure corrections to the hyperfine splitting in muonic deuterium
• The contribution of pseudoscalar mesons to hyperfine structure of muonic hydrogen
• Hyperfine structure of P-states in muonic deuterium
• Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen
• Hyperfine structure of S-states 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
• Two-photon exchange on neutron and the hyperfine splitting
• Hyperfine structure of P states in muonic ions of lithium, beryllium and boron
• Hadronic deuteron polarizability contribution to the Lamb shift in muonic deuterium
• Vacuum polarization and quadrupole corrections to the hyperfine splitting of P-states in muonic deuterium
• Ground state hyperfine structure in muonic lithium ions
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles