4,410 research outputs found

    D=(0|2) Dirac--Maxwell--Einstein Theory as a Way for Describing Supersymmetric Quartions

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    Drawing an analogy with the Dirac theory of fermions interacting with electromagnetic and gravitational field we write down supersymmetric equations of motion and construct a superfield action for particles with spin 1/4 and 3/4 (quartions), where the role of quartion momentum in effective (2+1)--dimensional space-time is played by an abelian gauge superfield propagating in a basic two-dimensional Grassmann-odd space with a cosmological constant showing itself as the quartion mass. So, the (0|2) (0 even and 2 odd) dimensional model of quartions interacting with the gauge and gravitational field manifests itself as an effective (2+1)-dimensional supersymmetric theory of free quartions.Comment: 16 pages, LaTeX, report DFPD/93/TH/4

    Hyperfine structure of S-states in muonic deuterium

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    On the basis of quasipotential method in quantum electrodynamics we calculate corrections of order α5\alpha^5 and α6\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 ΔEhfs(1S)=50.2814\Delta E^{hfs}(1S)=50.2814 meV (1S state) and ΔEhfs(2S)=6.2804\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 Δ12=8ΔEhfs(2S)−ΔEhfs(1S)=−0.0379\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.Comment: 18 pages, 7 figure
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