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A: Fachverband Atomphysik

A 20: Precision spectroscopy of atoms and ions (joint session A/Q)

A 20.21: Poster

Wednesday, March 16, 2022, 16:30–18:30, P

Recoil correction to the energy level of heavy muonic atoms — •Romain Chazotte1,2 and Natalia Oreshkina21Unversität Heidelberg — 2Max-Plank-Institut

In this work, the relativistic recoil correction to the energies of heavy muonic atoms has been considered, based on the formalism suggested by Borie and Rinker.

Muonic atoms are atoms, which have a bound muon instead of an electron. The lifetime of a muon is long enough so it can be considered stable on the atomic scale. Additionally, an atom with a single bound muon can be considered as a hydrogenlike system. As muons are about 200 times heavier than electrons, they orbit around the nucleus 200 times closer. This leads to a larger contribution of all kinds of nuclear effects to the energy.

We calculated the recoil effect for the shell, sphere and Fermi nu- clear models. The model and nuclear parameters dependence has been studied. The results have been compared with previous studies. They also can be used for the high-precision theoretical predictions of the spectra of heavy muonic atoms, and in the further comparison with experimental data, aiming at the extraction of the nuclear properties and parameters. In the future, a more rigorous quantum electrody- namics formalism can be applied for enhancing the accuracy of the relativistic recoil effect.

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