QED nuclear recoil effect in helium isotope shift

2025/12/04 by Pachucki, Krzysztof, Patkóš, Vojtěch, Yerokhin, Vladimir A.
#Atomic Physics (physics.atom-ph) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2512.04623

Abstract

We present a detailed investigation of the leading-order mα⁵ QED correction with inclusion of the finite-nuclear-mass effects. Previously, this correction had been calculated within an expansion in the electron-nucleus mass ratio m/M up to the first order. In this work, we derive formulas for the mα⁵ QED contribution that are valid up to the second order in m/M, and perform its calculation for the ³He-⁴He isotope shift, leading to an improved determination of the nuclear charge-radius difference.

Citations

• Radiative corrections to the nuclear size and polarizability effects in atomic systems
• Second-order hyperfine correction to H, D, and ³He energy levels
• CODATA Recommended Values of the Fundamental Physical Constants: 2022
• Revisiting the helium isotope-shift puzzle with improved uncertainties from nuclear structure corrections
• The helion charge radius from laser spectroscopy of muonic helium-3 ions

Related

• Revisiting the helium isotope-shift puzzle with improved uncertainties from nuclear structure corrections
• Finite nuclear mass correction to the hyperfine splitting in hydrogenic systems
• A Unified Geometric Prediction of Balmer, Zeeman and Lamb Isotope Shifts
• Second-order hyperfine correction to H, D, and ³He energy levels
• Radiative corrections to the nuclear size and polarizability effects in atomic systems