The transverse shape of the electron

Abstract

We study the charge density, form factors and spin distributions of the electron induced by its |e γ> light-front Fock state in impact parameter space. Only transversally compact Fock states contribute to the leading behavior of the Dirac and Pauli form factors as the momentum transfer tends to infinity. Power suppressed contributions are not compact, and distributions weighted by the transverse size have end-point contributions. The Fock state conserves the spin of the parent electron locally, but the separate contributions of the electron, photon and orbital angular momentum depend on longitudinal momentum and impact parameter. The sign of the anomalous magnetic moment of the electron may be understood intuitively from the density distribution, addressing a challenge by Feynman.

13 pages, 5 figures

References in corpus (7)

• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• Measurement of Nuclear Transparency for the A(e,e' pi^+) Reaction
• Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply Virtual Compton Scattering
• Electromagnetic Form Factors and Charge Densities From Hadrons to Nuclei
• Empirical transverse charge densities in the deuteron
• Chiral odd GPDs in transverse and longitudinal impact parameter spaces
• Parton Distributions in the Impact Parameter Space

Cited by in corpus (9)

• Transverse Charge Densities
• Gravitational strings beyond quantum theory: Electron as a closed heterotic string
• Electron Structure: Shape, Size and GPDs in QED
• Gravity vs. Quantum theory: Is electron really pointlike?
• The gravitational form factors of the electron in quantum electrodynamics
• The electron in three-dimensional momentum space
• Wigner distributions for an electron
• Mass sum rules of the electron in quantum electrodynamics
• Measuring transverse shape with virtual photons