2014
DOI: 10.1103/physrevc.89.012201
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Proton root-mean-square radii and electron scattering

Abstract: The standard procedure of extracting the proton root-mean-square radii from models for the Sachs form factors $G_e (q)$ and $G_m (q)$ fitted to elastic electron-proton scattering data %has a serious flaw. is more uncertain than traditionally assumed. The extrapolation of $G(q)$, from the region $q_{min} < q < q_{max}$ covered by data to momentum transfer $q=0$ where the $rms$-radius is obtained, often depends on uncontrolled properties of the parameterization used. Only when ensuring that the corresponding den… Show more

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Cited by 49 publications
(67 citation statements)
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“…Ref. [92] suggests that the range of Q 2 needed to determine the slope is in the range 0.01 to 0.06 GeV 2 . Considering this first over a somewhat narrower range, of the 1422 Mainz 2010 data points, about 200 are at Q 2 below 0.02 GeV 2 , and have small uncertainty.…”
Section: Electronic Scattering Measurementsmentioning
confidence: 99%
“…Ref. [92] suggests that the range of Q 2 needed to determine the slope is in the range 0.01 to 0.06 GeV 2 . Considering this first over a somewhat narrower range, of the 1422 Mainz 2010 data points, about 200 are at Q 2 below 0.02 GeV 2 , and have small uncertainty.…”
Section: Electronic Scattering Measurementsmentioning
confidence: 99%
“…The charge, magnetic, and quadrupole form factors are related to the invariant functions G i (Q)'s by 17) or directly to the matrix elements g λ 's by 20) and are normalized to…”
Section: Few-nucleon Form Factorsmentioning
confidence: 99%
“…For the determination of the rms-radius the knowledge on the large-r behavior of ρ(r) is important to bridge the gap between the region of 0.5 < q < 1.2f m −1 where the data are sensitive to the rms-radius to the q = 0 point where the rms-radius is obtained from the slope of G e (q) as function of q 2 [21]. Also for the Zemach moments the information on the large-r shape of ρ(r) removes the major source of model dependence inherent in the choice of the parameterization for ρ(r) or G e (q).…”
Section: Moments Formentioning
confidence: 99%