Vacuum polarization corrections to $μ^+μ^-$ spectrum
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arXiv
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866908354226421760 |
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| author | Repko, Wayne W. |
| author_facet | Repko, Wayne W. |
| contents | The energy levels of the $n=1$ and $n=2$ bound states of the $μ^+μ^-$ atom (true muonium) are calculated starting from a previously derived potential that correctly describes positronium to order $α^5$ supplemented by the known $α^6$ contributions. All electron vacuum polarization corrections on the true muonium levels are computed to order $α^6$ order. The second order perturbative contributions from all of the $α^4$ and $α^5$ terms in the potential are also included. Additional order $α^6$ contributions from the two photon and three photon annihilation processes are included in the evaluation of the ground state ($1^3S_1-1^1S_0$) hyperfine splitting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1804_05073 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Vacuum polarization corrections to $μ^+μ^-$ spectrum Repko, Wayne W. High Energy Physics - Phenomenology The energy levels of the $n=1$ and $n=2$ bound states of the $μ^+μ^-$ atom (true muonium) are calculated starting from a previously derived potential that correctly describes positronium to order $α^5$ supplemented by the known $α^6$ contributions. All electron vacuum polarization corrections on the true muonium levels are computed to order $α^6$ order. The second order perturbative contributions from all of the $α^4$ and $α^5$ terms in the potential are also included. Additional order $α^6$ contributions from the two photon and three photon annihilation processes are included in the evaluation of the ground state ($1^3S_1-1^1S_0$) hyperfine splitting. |
| title | Vacuum polarization corrections to $μ^+μ^-$ spectrum |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/1804.05073 |