Quantum electrodynamics of two-body systems with arbitrary masses

Abstract

We perform a calculation of quantum electrodynamics effects in excited states with $l>1$ of arbitrary two-body systems up to ${\alpha }^6\mu$ order. The obtained results are valid for hadronic atoms, as long as the strong interaction effects are negligible. We demonstrate that for circular states with $l\sim n$, the effective expansion parameter is $Z\alpha /n$, which extends the applicability of the derived formulas to heavy ions. Moreover, inclusion of higher-order terms is feasible, which indicates that accurate measurements of excited states of, for example, muonic or antiprotonic hydrogenic ions can be used to determine the fundamental constants and to search for the existence of yet unknown long-range interactions.

References in corpus (8)

• High-precision measurement of the atomic mass of the electron
• Measurement of the 1s-2s energy interval in muonium
• Higher-order binding corrections to the Lamb shift of 2P states
• Nonrelativistic QED approach to the Lamb shift
• Higher-order effective Hamiltonian for light atomic systems
• Two-loop self-energy contribution to the Lamb shift in H-like ions
• Nuclear recoil effect in the Lamb shift of light hydrogen-like atoms
• The Lamb shift of the $1s$ state in hydrogen: two-loop and three-loop contributions

Cited by in corpus (5)

• Recoil corrections to the energy levels of hydrogenic atoms
• Two-body $P$-state energies at ${\alpha }^6$ order
• Probing new hadronic forces with heavy exotic atoms
• Stability conditions for bound states in antiprotonic atoms
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles