Pauli Radius of the Proton
Zhu-Fang Cui1,2 , Daniele Binosi3* , Craig D Roberts1,2* , and Sebastian M Schmidt4,5
1 School of Physics, Nanjing University, Nanjing 210093, China2 Institute for Nonperturbative Physics, Nanjing University, Nanjing 210093, China3 European Centre for Theoretical Studies in Nuclear Physics and Related Areas, Villa Tambosi, Strada delle Tabarelle 286, I-38123 Villazzano (TN), Italy4 Helmholtz-Zentrum Dresden-Rossendorf, Dresden D-01314, Germany5 RWTH Aachen University, III. Physikalisches Institut B, Aachen D-52074, Germany
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.
收稿日期: 2021-09-07
Express Letter
出版日期: 2021-11-13
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