Transverse charge distributions of the nucleon and their Abel images

Abstract

We investigate the two-dimensional transverse charge distributions of the transversely polarized nucleon. As the longitudinal momentum ($P_z$) of the nucleon increases, the electric dipole moment is induced, which causes the displacement of the transverse charge and magnetization distributions of the nucleon. The induced dipole moment of the proton reaches its maximum value at around $P_z\approx 3.2$ GeV due to the kinematical reason. We also investigate how the Abel transformations map the three-dimensional charge and magnetization distributions in the Breit frame on to the transverse charge and magnetization ones in the infinite momentum frame.

13 pages, 7 figures

References in corpus (6)

• A new parameterization of the nucleon elastic form factors
• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• Charge Distributions of Moving Nucleons
• Ambiguities in the definition of local spatial densities in light hadrons
• Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case
• Tomography for amplitudes of hard exclusive processes

Cited by in corpus (12)

• Nucleon relativistic polarization and magnetization distributions
• On the deuteron relativistic charge distributions
• Mechanical structure of a spin-1 particle
• Dispersive Determination of Nucleon Gravitational Form Factors
• Electromagnetic multipole structure of a spin-one particle: Abel tomography case
• Local spatial densities for composite spin-3/2 systems
• Electromagnetic and gravitational local spatial densities for spin-1 systems
• Relativistic energy-momentum tensor distributions in a polarized nucleon
• Two-dimensional charge distributions of the $\Delta$ baryon: Interpolation between the nonrelativistic and ultrarelativistic limit
• Medium modification of the nucleon mechanical properties: Abel tomography case
• Gravitational form factors of pions, kaons and nucleons from dispersion relations
• Transverse energy-momentum tensor distributions in polarized nucleons