Irreducible Three-Loop Vacuum-Polarization Correction in Muonic Bound Systems
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917956460478464 |
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| author | Adkins, G. S. Jentschura, U. D. |
| author_facet | Adkins, G. S. Jentschura, U. D. |
| contents | Three-loop electronic vacuum-polarization corrections due to irreducible diagrams are evaluated for two-body muonic ions with nuclear charge numbers 1 <= Z <= 6. The corrections are of order alpha^3 (Zalpha)^2 m_r, where alpha is the fine-structure constant and m_r is the reduced mass. Numerically, the energy corrections are found to be of the same order-of-magnitude as the largest of the order alpha^2 (Zalpha)^6 m_r corrections, and are thus phenomenologically interesting. Our method of calculation eliminates numerical uncertainty encountered in other approaches. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_17535 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Irreducible Three-Loop Vacuum-Polarization Correction in Muonic Bound Systems Adkins, G. S. Jentschura, U. D. High Energy Physics - Phenomenology Atomic Physics Three-loop electronic vacuum-polarization corrections due to irreducible diagrams are evaluated for two-body muonic ions with nuclear charge numbers 1 <= Z <= 6. The corrections are of order alpha^3 (Zalpha)^2 m_r, where alpha is the fine-structure constant and m_r is the reduced mass. Numerically, the energy corrections are found to be of the same order-of-magnitude as the largest of the order alpha^2 (Zalpha)^6 m_r corrections, and are thus phenomenologically interesting. Our method of calculation eliminates numerical uncertainty encountered in other approaches. |
| title | Irreducible Three-Loop Vacuum-Polarization Correction in Muonic Bound Systems |
| topic | High Energy Physics - Phenomenology Atomic Physics |
| url | https://arxiv.org/abs/2412.17535 |