Two-body $P$-state energies at $α^6$ order
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914337023590400 |
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| author | Patkóš, Vojtěch Yerokhin, Vladimir A. Pachucki, Krzysztof |
| author_facet | Patkóš, Vojtěch Yerokhin, Vladimir A. Pachucki, Krzysztof |
| contents | We present an analytical calculation of the complete $α^6$ correction to energies of $nP$-levels of two-body systems consisting of the spin-$0$ or $1/2$ extended-size particles with arbitrary masses and magnetic moments. The obtained results apply to a wide class of two-body systems such as hydrogen, positronium, muonium, and pionic or aniprotonic helium ion. We found an additional $α^6$ correction for $nP$-levels of positronium, which was previously overlooked. Our results are also relevant for light muonic atoms, whose accurate theoretical predictions are required for extracting the nuclear charge radii. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05922 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-body $P$-state energies at $α^6$ order Patkóš, Vojtěch Yerokhin, Vladimir A. Pachucki, Krzysztof Atomic Physics We present an analytical calculation of the complete $α^6$ correction to energies of $nP$-levels of two-body systems consisting of the spin-$0$ or $1/2$ extended-size particles with arbitrary masses and magnetic moments. The obtained results apply to a wide class of two-body systems such as hydrogen, positronium, muonium, and pionic or aniprotonic helium ion. We found an additional $α^6$ correction for $nP$-levels of positronium, which was previously overlooked. Our results are also relevant for light muonic atoms, whose accurate theoretical predictions are required for extracting the nuclear charge radii. |
| title | Two-body $P$-state energies at $α^6$ order |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2401.05922 |