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26 April 2024
 
  » arxiv » 2008.02009

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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 ;
Date 5 Aug 2020
AbstractThe 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.
Source arXiv, 2008.02009
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