| THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
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Pauli Radius of the Proton |
| Zhu-Fang Cui1,2, Daniele Binosi3*, Craig D Roberts1,2*, and Sebastian M Schmidt4,5 |
1School of Physics, Nanjing University, Nanjing 210093, China
2Institute for Nonperturbative Physics, Nanjing University, Nanjing 210093, China
3European Centre for Theoretical Studies in Nuclear Physics and Related Areas, Villa Tambosi, Strada delle Tabarelle 286, I-38123 Villazzano (TN), Italy
4Helmholtz-Zentrum Dresden-Rossendorf, Dresden D-01314, Germany
5RWTH Aachen University, III. Physikalisches Institut B, Aachen D-52074, Germany
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| Cite this article: |
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Zhu-Fang Cui, Daniele Binosi, Craig D Roberts et al 2021 Chin. Phys. Lett. 38 121401 |
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Abstract Using a procedure based on interpolation via continued fractions supplemented by statistical sampling, we analyze proton magnetic form factor data obtained via electron+proton scattering on $Q^2 \in [0.027,0.55]$ GeV$^2$ with the goal of determining the proton magnetic radius. The approach avoids assumptions about the function form used for data interpolation and ensuing extrapolation onto $Q^2\simeq 0$ for extraction of the form factor slope. In this way, we find $r_{\scriptscriptstyle {\rm M}} = 0.817(27)$ fm. Regarding the difference between proton electric and magnetic radii calculated in this way, extant data are seen to be compatible with the possibility that the slopes of the proton Dirac and Pauli form factors, $F_{1,2}(Q^2)$, are not truly independent observables; to wit, the difference $F_1^\prime(0)-F_2^\prime(0)/\kappa_{\rm p} = [1+\kappa_{\rm p}]/[4 m_{\rm p}^2]$, viz., the proton Foldy term.
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Received: 07 September 2021
Express Letter
Published: 13 November 2021
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| Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 12135007 and 11805097), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20180323), and STRONG-2020, “the strong interaction at the frontier of knowledge: fundamental research and applications” which received funding from the European Union's Horizon 2020 Research and Innovation Programme (Grant No. 824093). |
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