Connecting spatial moments and momentum densities
Nuclear Theory
2020-08-06 v1 Nuclear Experiment
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 . As an illustration, the application of this method to the electric form factor of the proton is discussed in detail.
Cite
@article{arxiv.2008.02009,
title = {Connecting spatial moments and momentum densities},
author = {M. Hoballah and M. B. Barbaro and R. Kunne. and M. Lassaut. and D. Marchand and G. Quéméner and E. Voutier and J. van de Wiele},
journal= {arXiv preprint arXiv:2008.02009},
year = {2020}
}