Energy interval 3S-1S in muonic hydrogen

Abstract

The energy interval $(3S-1S)$ in muonic hydrogen is calculated on the basis of quasipotential approach in quantum electrodynamics. We take into account different corrections of orders ${\alpha }^3÷{\alpha }^6$, which are determined by relativistic effects, the effects of vacuum polarization, nuclear structure and recoil, as well as combined corrections including the above. Nuclear structure effects are expressed in terms of the charge radius of the proton in the case of one-photon interaction and the proton electromagnetic form factors in the case of two-photon exchange interaction. The value of the energy interval (3S-1S) can be used for a comparison with future experimental data and determining the proton charge radius with greater accuracy.

arXiv comment25 pages, 14 figures

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Cited by in corpus (3)

• Relativistic and Recoil Corrections to Vacuum polarization in muonic systems: Three--photon exchange, gauge invariance and numerical values
• Irreducible Three-Loop Vacuum-Polarization Correction in Muonic Bound Systems
• Reexamination of vacuum-polarization corrections to the self-energy in muonic bound systems