On the definition of local spatial densities in hadrons

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.

5 pages, 1 figure

References in corpus (5)

• Defining the Proton Radius: a Unified Treatment
• Forces within hadrons on the light front
• Ambiguities in the definition of local spatial densities in light hadrons
• Electromagnetic Form Factors and Charge Densities From Hadrons to Nuclei
• Singular Charge Density at the Center of the Pion?

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