Abstract
On the basis of quasipotential method in quantum electrodynamics we carry out a precise calculation of hyperfine splitting of S-states in muonic tritium. The one-loop and two-loop vacuum polarization corrections, relativistic effects, nuclear structure corrections in first and second orders of perturbation theory are taken into account. The contributions to hyperfine structure are obtained in integral form and calculated analytically and numerically. Obtained results for hyperfine splitting can be used for a comparison with future experimental data of CREMA collaboration.
Highlights
On the basis of quasipotential method in quantum electrodynamics we carry out a precise calculation of hyperfine splitting of S-states in muonic tritium
They can be used to estimate the contributions to the hyperfine structure (HFS) of muonic tritium
The same order contribution is determined by muon anomalous magnetic moment
Summary
On the basis of quasipotential method in quantum electrodynamics we carry out a precise calculation of hyperfine splitting of S-states in muonic tritium. A precise calculation of hyperfine splitting of S-states in muonic tritium atom is carried out. Muonic tritium consists of a triton and a negatively charged muon. For comparison between theory and experiment it is necessary to perform analytical and numerical calculation of the corrections of the fifth and sixth order over the fine structure constant in the hyperfine structure (HFS) of S-states of muonic tritium within the quasipotential method in quantum electrodynamics.
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