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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.09207 |
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| _version_ | 1866915929936363520 |
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| author | Rosini, Francesco Pacetti, Simone |
| author_facet | Rosini, Francesco Pacetti, Simone |
| contents | We present and demonstrate a version of Levinson's theorem especially dedicated to the asymptotic behavior of form factor phases. Indeed, as required by analyticity, form factors are multi-valued complex functions of a square four-momentum defined in the complex plane with a cut along the positive real axis. Their phases evaluated on the upper edge of this cut, i.e., on the time-like region, tend asymptotically to integer multiples of $π$ radians. The Levinson's theorem establishes a univocal relation between such multiples and properties of form factors related to the dynamics of the electromagnetic interaction of the corresponding hadrons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09207 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Levinson's theorem for particle form factors Rosini, Francesco Pacetti, Simone High Energy Physics - Phenomenology Mathematical Physics We present and demonstrate a version of Levinson's theorem especially dedicated to the asymptotic behavior of form factor phases. Indeed, as required by analyticity, form factors are multi-valued complex functions of a square four-momentum defined in the complex plane with a cut along the positive real axis. Their phases evaluated on the upper edge of this cut, i.e., on the time-like region, tend asymptotically to integer multiples of $π$ radians. The Levinson's theorem establishes a univocal relation between such multiples and properties of form factors related to the dynamics of the electromagnetic interaction of the corresponding hadrons. |
| title | A Levinson's theorem for particle form factors |
| topic | High Energy Physics - Phenomenology Mathematical Physics |
| url | https://arxiv.org/abs/2604.09207 |