Definition of Local Spatial Densities in Hadrons

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.

Automated summary

The matrix element of a local operator between hadronic states is used to define the associated spatial density. The charge density of a spinless particle is studied as an example, clarifying its relationship to the electric form factor. The results provide an unconventional interpretation of the spatial densities of local operators and their moments.