On the definition of electromagnetic local spatial densities for composite spin-$1/2$ systems

Abstract

An unambiguous definition of the electromagnetic spatial densities for a spin-1/2 system is proposed and worked out in the zero average momentum frame and in moving frames. The obtained results are compared with the traditional definition of the densities in terms of the three-dimensional Fourier transforms of the electromagnetic form factors in the Breit frame.

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• Quantum stresses in the hydrogen atom
• Electromagnetic and gravitational local spatial densities for spin-1 systems
• Two-dimensional charge distributions of the $\Delta$ baryon: Interpolation between the nonrelativistic and ultrarelativistic limit
• Light front synchronization and rest frame densities of the proton: Electromagnetic densities
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Mapping the transverse spin sum rule in position space
• Inclusive probability to record an electron in elastic electromagnetic scattering by a spin one-half hadron wave packet
• Determination of the moments of the proton charge density
• Reconstruction of Gravitational Form Factors using Generative Machine Learning
• The energy-momentum tensor in a classical model of the electron
• Baryon Form Factors