English

On the definition of local spatial densities in hadrons

High Energy Physics - Phenomenology 2022-07-13 v1 High Energy Physics - Experiment Nuclear Theory

Abstract

We show that the matrix element of a local operator between hadronic states gives rise to an unambiguous definition of the associated spatial density. As an explicit example, we consider the charge density of a spinless particle in the rest and moving frames and clarify its relationship to the electric form factor. Our results suggest that the interpretation of the spatial densities of local operators and their moments such as the mean square charge radius needs to be revised.

Keywords

Cite

@article{arxiv.2201.02565,
  title  = {On the definition of local spatial densities in hadrons},
  author = {E. Epelbaum and J. Gegelia and N. Lange and U. -G. Meißner and M. V. Polyakov},
  journal= {arXiv preprint arXiv:2201.02565},
  year   = {2022}
}

Comments

5 pages, 1 figure