Definition of Local Spatial Densities in Hadrons
E. Epelbaum, J. Gegelia, Nicholas Lange, Ulf-G. Meißner, M. V. Polyakov
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.
Topics & Concepts
HadronPhysicsOperator (biology)Density matrixInterpretation (philosophy)Statistical physicsMatrix (chemical analysis)Charge (physics)Particle physicsTheoretical physicsQuantum mechanicsComputer scienceMaterials scienceTranscription factorBiochemistryComposite materialProgramming languageGeneChemistryQuantumRepressorQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions ResearchParticle physics theoretical and experimental studies