Abstract
Vacuum polarization, nuclear structure and recoil, radiative corrections to the hyperfine structure of S-states in muonic ions of lithium, beryllium and boron are calculated on the basis of quasipotential method in quantum electrodynamics. We consider contributions in first and second orders of perturbation theory which have the order α5 and α6 in the energy spectrum. Total values of hyperfine splittings are obtained which can be used for a comparison with future experimental data.
Highlights
In 2010-2018 the CREMA (Charge Radius Experiments with Muonic Atoms) collaboration performed a number of experiments with muonic hydrogen and ions of muonic helium by methods of laser spectroscopy [1,2,3,4]
CODATA value is based on the spectroscopy of the electronic hydrogen atom and on electronnucleon scattering
F=0 1/2 for the singlet 2S of the state allowed one to obtain the hyperfine splitting of the 2S energy level in muonic hydrogen, and the values of the Zemach’s radius rZ = 1.082(37) fm and magnetic radius rM = 0.87(6) fm
Summary
In 2010-2018 the CREMA (Charge Radius Experiments with Muonic Atoms) collaboration performed a number of experiments with muonic hydrogen and ions of muonic helium by methods of laser spectroscopy [1,2,3,4]. The measurement of the Lamb shift and hyperfine structure (HFS) of these muonic atoms led to new more precise values of charge radii of proton, deuteron, helion and α-particle. F=0 1/2 for the singlet 2S of the state (μp) allowed one to obtain the hyperfine splitting of the 2S energy level in muonic hydrogen, and the values of the Zemach’s radius rZ = 1.082(37) fm and magnetic radius rM = 0.87(6) fm. The first measurement of three transition frequencies between energy levels 2P and for muonic deuterium 2.7 times) of the charge radius of the deuteron, that is less than the value recommended by CODATA by 7.5σ [3, 5]. The situation emerges when there is an inexplicable discrepancy between the values of such fundamental parameters, as the charge radius of a proton and deuteron, obtained from electronic and muonic atoms.
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