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.

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

References in corpus (13)

• Big-Bang Nucleosynthesis
• The Proton Radius Puzzle
• Inclusive quasi-elastic electron-nucleus scattering
• Muonic hydrogen and MeV forces
• New Parity-Violating Muonic Forces
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Empirical Fit to Inelastic Electron-Deuteron and Electron-Neutron Resonance Region Transverse Cross Sections
• Frequency metrology of helium around 1083 nm and determination of the nuclear charge radius
• Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory
• Nuclear structure effects in light muonic atoms
• Improved estimates of the nuclear structure corrections in $\mu$D
• Zemach moments of 3He and 4He
• Quantum electrodynamic calculation of the hyperfine structure of 3He

Cited by in corpus (3)

• Comprehensive theory of the Lamb shift in light muonic atoms
• Zemach moments and radii of 2,3H and 3,4He
• A theory vade mecum for PSI experiments