QED calculations of the nuclear recoil effect in muonic atoms

Abstract

The nuclear recoil effect, known also as the mass shift, is one of theoretical contributions to the energy levels in muonic atoms. Accurate theoretical predictions are therefore needed for extracting e.g. the nuclear charge radii from experimental spectra. We report rigorous QED calculations of the nuclear recoil correction in muonic atoms, carried out to all orders in the nuclear binding strength parameter $Z\alpha$ (where $Z$ is the nuclear charge number and $\alpha$ is the fine structure constant). The calculations show differences with the previous approximate treatment of this effect, most pronounced for the lowest-lying bound states. The calculated recoil correction was found to be sensitive to the nuclear charge radius, which needs to be accounted for when extracting nuclear parameters from the measured spectra.

6 pages, 1 figure, 2 tables

References in corpus (5)

• Nuclear recoil corrections to the Lamb shift of hydrogen and light hydrogen-like ions
• QED theory of the nuclear recoil with finite size
• Theoretical prediction of the Fine and Hyperfine structure of heavy muonic atoms
• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions
• Finite-nuclear-size effect in hydrogen-like ions with relativistic nuclear structure

Cited by in corpus (3)

• Two-body $P$-state energies at ${\alpha }^6$ order
• QED calculations of the $2p$-$2s$ transition energies in Li-like ions
• Smallness of the nuclear polarization effect in the hyperfine structure of heavy muonic atoms as a stimulus for next-generation experiments