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Hadronic vacuum polarization in atoms

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

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Bachelor Thesis Breidenbach.pdf
(Publisher version), 496KB

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Citation

Breidenbach, S. (2018). Hadronic vacuum polarization in atoms. Bachelor Thesis, Ruprecht-Karls-Universität, Heidelberg.


Cite as: https://hdl.handle.net/21.11116/0000-0001-0229-F
Abstract
In this Bachelor thesis the energy shift in atoms due to hadronic vacuum polarization is evaluated. A hadronic polarization function for the photon propagator is obtained from experimental e-/ e+ → hadronic matter-collision data via the optical theorem and the Kramers-Kronig relations. An effective central potential is calculated applying a parameterization for this polarization function. The energy corrections to a Coulomb potential originating from hadronic vacuum polarization are calculated using the analytical bound Dirac-Coulomb wave functions, as well as relativistic bound wave functions considering the finite nuclear size. These results are compared to results from a non-relativistic theory.