Method for measuring the charge radii of charged hyperons from the time-like region
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866916330599350272 |
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| author | Lin, Yong-Hui Guo, Feng-Kun Meißner, Ulf-G. |
| author_facet | Lin, Yong-Hui Guo, Feng-Kun Meißner, Ulf-G. |
| contents | We propose a novel method for measuring the charge radii of charged stable hadrons, with which the first measurement of the charge radii of the $Σ^+$ and the $Ξ^-$ is foreseen. The method explores the facts that the Dalitz decay $ψ(2S) \to Y\bar{Y}e^+e^-$ contains the hyperon form factors and the lowest measurable four-momentum transfer squared can be as low as $\sim 4m_e^2= 1.05\times10^{-6}\,{\rm GeV^2}$ in the time-like region. We identify a kinematic region where the hyperon form factors are essential and propose a method for subtracting the background from the data. It is estimated that the hyperon charge radii can be measured to a precision of about {0.2~fm} with the BES\Rom{3} experiment and one order of magnitude better at the future Super $τ$-Charm Facility. Moreover, the same method can be used to measure the charge radius of the proton, which provides an independent cross-check on the extraction of proton radius from elastic $ep$ scattering or leptonic hydrogen spectroscopy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_07850 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Method for measuring the charge radii of charged hyperons from the time-like region Lin, Yong-Hui Guo, Feng-Kun Meißner, Ulf-G. High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory We propose a novel method for measuring the charge radii of charged stable hadrons, with which the first measurement of the charge radii of the $Σ^+$ and the $Ξ^-$ is foreseen. The method explores the facts that the Dalitz decay $ψ(2S) \to Y\bar{Y}e^+e^-$ contains the hyperon form factors and the lowest measurable four-momentum transfer squared can be as low as $\sim 4m_e^2= 1.05\times10^{-6}\,{\rm GeV^2}$ in the time-like region. We identify a kinematic region where the hyperon form factors are essential and propose a method for subtracting the background from the data. It is estimated that the hyperon charge radii can be measured to a precision of about {0.2~fm} with the BES\Rom{3} experiment and one order of magnitude better at the future Super $τ$-Charm Facility. Moreover, the same method can be used to measure the charge radius of the proton, which provides an independent cross-check on the extraction of proton radius from elastic $ep$ scattering or leptonic hydrogen spectroscopy. |
| title | Method for measuring the charge radii of charged hyperons from the time-like region |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2309.07850 |