论文标题

连接空间时刻和动量密度

Connecting spatial moments and momentum densities

论文作者

Hoballah, M., Barbaro, M. B., Kunne., R., Lassaut., M., Marchand, D., Quéméner, G., Voutier, E., van de Wiele, J.

论文摘要

实验数据和分析技术的精度是任何发现尝试的关键特征。一个引人注目的例子是质子半径拼图,其中muonic原子光谱的准确性挑战了传统的电子散射测量。目前的工作提出了一种新的方法,用于确定在动量空间中表达的密度的空间矩。该方法可直接访问均匀,奇数,更通常是任何真实,负面和积极的力矩,订单大于$ -3 $。作为例子,详细讨论了该方法在质子的电形成元中的应用。

The precision of experimental data and analysis techniques is a key feature of any discovery attempt. A striking example is the proton radius puzzle where the accuracy of the spectroscopy of muonic atoms challenges traditional electron scattering measurements. The present work proposes a novel method for the determination of spatial moments from densities expressed in the momentum space. This method provides a direct access to even, odd, and more generally any real, negative and positive moment with order larger than $-3$. As an illustration, the application of this method to the electric form factor of the proton is discussed in detail.

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