Transverse charge distributions of the nucleon and their Abel images

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 approximate to 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 onto the transverse charge and magnetization ones in the infinite momentum frame.

Automated summary

The study shows that with the increase of the nucleon's longitudinal momentum, an induced electric dipole moment occurs, causing displacement in the transverse charge and magnetization distributions of the nucleon. The induced dipole moment of the proton reaches its maximum value at around P-z approximately 3.2 GeV. Abel transformations can map the three-dimensional charge and magnetization distributions in the Breit frame onto the transverse charge and magnetization ones in the infinite momentum frame.