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Journal Article

Hadronic vacuum polarization correction to atomic energy levels

MPS-Authors
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Breidenbach,  Soeren
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;
Ruprecht Karl University of Heidelberg, Department of Physics and Astronomy, Im Neuenheimer Feld 226, 69120 Heidelberg, Germany;

/persons/resource/persons243165

Dizer,  Eugen
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;
Ruprecht Karl University of Heidelberg, Department of Physics and Astronomy, Im Neuenheimer Feld 226, 69120 Heidelberg, Germany;

/persons/resource/persons198584

Cakir,  Halil
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

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Harman,  Zoltan
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society;

External Resource

https://journals.aps.org/pra/pdf/10.1103/PhysRevA.106.042805
(Publisher version)

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Fulltext (public)

2209.03234.pdf
(Preprint), 553KB

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Citation

Breidenbach, S., Dizer, E., Cakir, H., & Harman, Z. (2022). Hadronic vacuum polarization correction to atomic energy levels. Physical Review A, 106(4): 042805. doi:10.1103/PhysRevA.106.042805.


Cite as: https://hdl.handle.net/21.11116/0000-000B-5759-0
Abstract
The shift of atomic energy levels due to hadronic vacuum polarization is evaluated in a semiempirical way for hydrogenlike ions and for muonic hydrogen. A parametric hadronic polarization function obtained from experimental cross
sections of e- e+ annihilation into hadrons is applied to derive an effective relativistic Uehling potential. The energy corrections originating from hadronic vacuum polarization are calculated for low-lying levels using analytical Dirac-Coulomb wave functions, as well as bound wave functions accounting for the finite nuclear size. Closed formulas for the hadronic Uehling potential of an extended nucleus as well as for the relativistic energy shift in case of a point-like nucleus are derived. These results are compared to existing analytic formulas from non-relativistic theory.