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- W4300568680 abstract "We examined several low-$Q^2$ elastic $ep$ and $ed$ scattering data sets using various models to extract the proton and deuteron rms radii and developed a comprehensive algorithm for estimating the systematic bias of each extracted radius. In each case, we chose the model and upper bound for $Q^2$ that minimized the combination of statistical uncertainty and bias. We attribute the discrepancy between small ($approx 0.84$~fm) and large ($approx 0.88$~fm) proton radius extractions to the absence of data that can accurately isolate the linear and quadratic contributions to the form factor at low-$Q^2$. In light of this ambiguity, we estimated the asymmetric model-dependence of each extracted radius by studying the distribution of many possible fits. The resulting radii are 0.842(4)~fm for the proton and 2.092(19)~fm for the deuteron. These values are consistent with those determined from muonic hydrogen measurements within 0.3$sigma$ for the proton and 1.8$sigma$ for the deuteron." @default.
- W4300568680 created "2022-10-03" @default.
- W4300568680 creator A5068334754 @default.
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- W4300568680 date "2018-04-24" @default.
- W4300568680 modified "2023-10-16" @default.
- W4300568680 title "Evaluation of low-$Q^2$ fits to $ep$ and $ed$ elastic scattering data" @default.
- W4300568680 doi "https://doi.org/10.48550/arxiv.1804.09150" @default.
- W4300568680 hasPublicationYear "2018" @default.
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