Total decay rate of a muon bound to a light nucleus
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911342759247872 |
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| author | Czarnecki, Andrzej Davydov, A. O. Kaygorodov, M. Y. |
| author_facet | Czarnecki, Andrzej Davydov, A. O. Kaygorodov, M. Y. |
| contents | We revisit the total decay rate of a muon being in the ground state of a Coulomb potential with atomic charge numbers $4\leq Z \leq 9$. The discrepancy between the perturbative $(αZ)^2$ result of [Phys. Rev. \textbf{119}, 365 (1960)] and the fully relativistic partial-wave calculation of [At. Data Nucl. Data Tables \textbf{54}, 165 (1993)] for oxygen ($Z=8$) is shown to originate from insufficient convergence of the partial-wave series in the latter work. Our accurate relativistic calculations restore agreement with the perturbative $αZ$~expansion and indicate a negative sign for the next-order $(αZ)^3$ correction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23023 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Total decay rate of a muon bound to a light nucleus Czarnecki, Andrzej Davydov, A. O. Kaygorodov, M. Y. High Energy Physics - Phenomenology We revisit the total decay rate of a muon being in the ground state of a Coulomb potential with atomic charge numbers $4\leq Z \leq 9$. The discrepancy between the perturbative $(αZ)^2$ result of [Phys. Rev. \textbf{119}, 365 (1960)] and the fully relativistic partial-wave calculation of [At. Data Nucl. Data Tables \textbf{54}, 165 (1993)] for oxygen ($Z=8$) is shown to originate from insufficient convergence of the partial-wave series in the latter work. Our accurate relativistic calculations restore agreement with the perturbative $αZ$~expansion and indicate a negative sign for the next-order $(αZ)^3$ correction. |
| title | Total decay rate of a muon bound to a light nucleus |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.23023 |