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arXiv · 2008.02009

Connecting spatial moments and momentum densities

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

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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M. Hoballah, M. B. Barbaro, R. Kunne., M. Lassaut., D. Marchand, G. Quéméner, E. Voutier, J. van de Wiele. 2020-08-05. Connecting spatial moments and momentum densities. https://doi.org/10.1016/j.physletb.2020.135669

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