Hyperfine structure of S-states of muonic deuterium

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 perturbatio...

Full description

Bibliographic Details
Main Authors: Alexey P. Martynenko, Gregory A. Martynenko, Vyacheslav V. Sorokin, Rudolf N. Faustov
Format: Article
Language:English
Published: Samara State Technical University 2015-09-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:http://mi.mathnet.ru/eng/vsgtu1381
Description
Summary: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 prediction for muonic deuterium.
ISSN:1991-8615
2310-7081