Atomic binding corrections for high energy fixed target experiments
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866916404944437248 |
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| author | Plestid, Ryan Wise, Mark B. |
| author_facet | Plestid, Ryan Wise, Mark B. |
| contents | High energy beams incident on a fixed target may scatter against atomic electrons. To a first approximation, one can treat these electrons as at rest. For precision experiments, however, it is important to be able to estimate the size of, and when necessary calculate, sub-leading corrections. We discuss atomic binding corrections to relativistic lepton-electron scattering. We analyze hydrogen in detail, before generalizing our analysis to multi-electron atoms. Using the virial theorem, and many-body sum rules, we find that the corrections can be reduced to measured binding energies, and the expectation value of a single one-body operator. We comment on the phenomenological impact for neutrino flux normalization and an extraction of hadronic vacuum polarization from elastic muon electron scattering at MUonE. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12184 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Atomic binding corrections for high energy fixed target experiments Plestid, Ryan Wise, Mark B. High Energy Physics - Phenomenology High Energy Physics - Experiment Atomic Physics High energy beams incident on a fixed target may scatter against atomic electrons. To a first approximation, one can treat these electrons as at rest. For precision experiments, however, it is important to be able to estimate the size of, and when necessary calculate, sub-leading corrections. We discuss atomic binding corrections to relativistic lepton-electron scattering. We analyze hydrogen in detail, before generalizing our analysis to multi-electron atoms. Using the virial theorem, and many-body sum rules, we find that the corrections can be reduced to measured binding energies, and the expectation value of a single one-body operator. We comment on the phenomenological impact for neutrino flux normalization and an extraction of hadronic vacuum polarization from elastic muon electron scattering at MUonE. |
| title | Atomic binding corrections for high energy fixed target experiments |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Atomic Physics |
| url | https://arxiv.org/abs/2403.12184 |