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Quantum electrodynamics of two-body systems with arbitrary masses up to?6 order

Publication at Faculty of Mathematics and Physics |
2022

Abstract

We perform a calculation of quantum electrodynamics effects in excited states with l > 1 of arbitrary twobody systems up to alpha 6 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 similar to n, the effective expansion parameter is Z alpha/n, which extends the applicability of the derived formulas to heavy ions. Moreover, inclusion of higherorder 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.

Keywords