Two-photon exchange correction to $2S$-$2P$ splitting in muonic helium-3 ions

Abstract

We calculate the two-photon exchange correction to the Lamb shift in muonic helium-3 ions within the dispersion relations framework. Part of the effort entailed making analytic fits to the electron-${}^3$He quasielastic scattering data set, for purposes of doing the dispersion integrals. Our result is that the energy of the 2$S$ state is shifted downwards by two-photon exchange effects by 15.14(49) meV, in good accord with the result obtained from a potential model and effective field theory calculation.

arXiv comment10 pages, 4 figures, 2 tables; version submitted to Phys. Rev. A

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Cited by in corpus (10)

• On the Feynman-Hellmann Theorem in Quantum Field Theory and the Calculation of Matrix Elements
• Comprehensive theory of the Lamb shift in light muonic atoms
• Ab initio calculation of nuclear structure corrections in muonic atoms
• Theory of the Lamb shift and Fine Structure in muonic ${}^4\mathrm{He}$ ions and the muonic ${}^3\mathrm{He}{-}^4\mathrm{He}$ Isotope Shift
• Review of experimental and theoretical status of the proton radius puzzle
• Dispersion Theory in Electromagnetic Interactions
• Theory of the n=2 levels in muonic helium-3 ions
• Charge and Magnetic Properties of Three-Nucleon Systems in Pionless Effective Field Theory
• Zemach moments and radii of 2,3H and 3,4He
• A theory vade mecum for PSI experiments