Vacuum polarization and Wichmann-Kroll correction in the finite basis set approximation
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909318879641600 |
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| author | Ivanov, V. K. Baturin, S. S. Glazov, D. A. Volotka, A. V. |
| author_facet | Ivanov, V. K. Baturin, S. S. Glazov, D. A. Volotka, A. V. |
| contents | The finite basis set method is commonly used to calculate atomic spectra, including QED contributions such as bound-electron self-energy. Still, it remains problematic and underexplored for vacuum-polarization calculations. We fill this gap by trying this approach in its application to the calculation of the vacuum-polarization charge density and the Wichmann-Kroll correction to the electron binding energy in a hydrogen-like ion. We study the convergence of the method with different types and sizes of basis sets. We cross-check our results for the Wichmann-Kroll correction by direct integration of the Green's function. As a relevant example, we consider several heavy hydrogen-like ions and evaluate the vacuum polarization correction for $S$ and $P$ electron orbitals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06758 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Vacuum polarization and Wichmann-Kroll correction in the finite basis set approximation Ivanov, V. K. Baturin, S. S. Glazov, D. A. Volotka, A. V. Atomic Physics High Energy Physics - Theory Quantum Physics The finite basis set method is commonly used to calculate atomic spectra, including QED contributions such as bound-electron self-energy. Still, it remains problematic and underexplored for vacuum-polarization calculations. We fill this gap by trying this approach in its application to the calculation of the vacuum-polarization charge density and the Wichmann-Kroll correction to the electron binding energy in a hydrogen-like ion. We study the convergence of the method with different types and sizes of basis sets. We cross-check our results for the Wichmann-Kroll correction by direct integration of the Green's function. As a relevant example, we consider several heavy hydrogen-like ions and evaluate the vacuum polarization correction for $S$ and $P$ electron orbitals. |
| title | Vacuum polarization and Wichmann-Kroll correction in the finite basis set approximation |
| topic | Atomic Physics High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2406.06758 |