Likelihood of a zero in the proton elastic electric form factor
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910745129648128 |
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| author | Cheng, Peng Yao, Zhao-Qian Binosi, Daniele Roberts, Craig D. |
| author_facet | Cheng, Peng Yao, Zhao-Qian Binosi, Daniele Roberts, Craig D. |
| contents | Working with the $29$ available data on the ratio of proton electric and magnetic form factors, $μ_p G_E^p(Q^2)/ G_M^p(Q^2)$, and independent of any model or theory of strong interactions, we use the Schlessinger point method to objectively address the question of whether the ratio possesses a zero and, if so, its location. Our analysis predicts that, with 50% confidence, the data are consistent with the existence of a zero in the ratio on $Q^2 \leq 10.37\,$GeV$^2$. The level of confidence increases to $99.9$\% on $Q^2 \leq 13.06\,$GeV$^2$. Significantly, the likelihood that existing data are consistent with the absence of a zero in the ratio on $Q^2 \leq 14.49\,$GeV$^2$ is $1/1$-million. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_10598 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Likelihood of a zero in the proton elastic electric form factor Cheng, Peng Yao, Zhao-Qian Binosi, Daniele Roberts, Craig D. High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory Working with the $29$ available data on the ratio of proton electric and magnetic form factors, $μ_p G_E^p(Q^2)/ G_M^p(Q^2)$, and independent of any model or theory of strong interactions, we use the Schlessinger point method to objectively address the question of whether the ratio possesses a zero and, if so, its location. Our analysis predicts that, with 50% confidence, the data are consistent with the existence of a zero in the ratio on $Q^2 \leq 10.37\,$GeV$^2$. The level of confidence increases to $99.9$\% on $Q^2 \leq 13.06\,$GeV$^2$. Significantly, the likelihood that existing data are consistent with the absence of a zero in the ratio on $Q^2 \leq 14.49\,$GeV$^2$ is $1/1$-million. |
| title | Likelihood of a zero in the proton elastic electric form factor |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2412.10598 |