Abstract
We calculate corrections of orders α4, α5, α6 to the (1S – 2S) fine structure interval in muonic hydrogen (μp), muonic tritium (μt) and muonic helium ion $$((\mu _2^3He) + )$$. They are determined by the effects of vacuum polarization, nuclear structure and recoil and relativistic corrections. The nuclear structure effects are taken into account in terms of the charge radii of the nuclei in one-photon interaction and in terms of electromagnetic form-factors in the case of two-photon interaction. The obtained results for the (1S – 2S) splitting can be used for a comparison with future experimental data.
Highlights
IntroductionThe current experimental program to study the fine and hyperfine structure of the simplest muonic atoms is successfully implemented, starting with transitions (2S F=1 1/2 − 2P3F/=22) and F=0 1/2 2P3F/=21)
The current experimental program to study the fine and hyperfine structure of the simplest muonic atoms is successfully implemented, starting with transitions (2S F=1 1/2 − 2P3F/=22) and F=0 1/2 2P3F/=21)were measured in muonic hydrogen [1].The experiments with muonic hydrogen have shown that there is a significant discrepancy between the values of charge radii of the proton and deuteron obtained from experiments with electronic and muonic atoms [2,3,4]
(1S − 2S ) in a number of muonic atoms included in CREMA experiments
Summary
The current experimental program to study the fine and hyperfine structure of the simplest muonic atoms is successfully implemented, starting with transitions (2S F=1 1/2 − 2P3F/=22) and F=0 1/2 2P3F/=21). Were measured in muonic hydrogen [1]. One of the possible tasks of future experiments may be measuring the (1S − 2S ) in a number of muonic atoms included in CREMA experiments. The two-particle bound state is described by the Schrödinger equation.
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