Definition of Local Spatial Densities in Hadrons

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Abstract

We show that the matrix element of a local operator between hadronic states can be used to unambiguously define the associated spatial density. As an explicit example, we consider the charge density of a spinless particle and clarify its relationship to the electric form factor. Our results lead to an unconventional interpretation of the spatial densities of local operators and their moments.

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Epelbaum, E., Gegelia, J., Lange, N., Meißner, U. G., & Polyakov, M. V. (2022). Definition of Local Spatial Densities in Hadrons. Physical Review Letters, 129(1). https://doi.org/10.1103/PhysRevLett.129.012001

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