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arXiv 1812.04444nucl-thhep-ph
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弹性电子-质子截面对质子半径的敏感性

Sensitivity of the elastic electron-proton cross section to the proton radius

Simone Pacetti, Egle Tomasi-Gustafsson

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18 pages, 10 figures, 1 table
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摘要：

本文讨论了用电子-质子弹性散射数据精确测定质子半径的问题。在弹性截面上区分来自原子光谱的值的必要精度根据相关量来仔细检查，即，形状因子的导数。结果表明，这种精度比在截面上的精度，即测量的可观测量高两个数量级。不同的拟合可用的数据和他们的离散衍生物，与分析约束。与半径相关的系统误差考虑到来自不同来源的不确定性，如静态点的外推，拟合函数类的选择和数据样本的范围。这个错误被证明是甚至比通常假设的数量级更大。

英文摘要：

The precise determination of the proton radius from recent elastic scattering electron-proton data is discussed. The necessary precision on the elastic cross section to discriminate among the values coming from atomic spectroscopy is scrutinized in terms of the relevant quantity, i.e., the derivative of the form factor. It is shown that such precision is two orders of magnitude higher than the precision on the cross section, that is the measured observable. Different fits on the available data and of their discrete derivative, with analytical constraints are shown. The systematic error associated to the radius is evaluated taking into account the uncertainties from different sources, as the extrapolation to the static point, the choice of the class of fitting functions and the range of the data sample. This error is shown to be even orders of magnitude larger than commonly assumed.

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