Electromagnetic multipole structure of a spin-one particle: Abel tomography case

Abstract

We investigate the three-dimensional~(3D) and two-dimensional~(2D) charge distributions of a spin-one particle in terms of the multipole expansion. On account of the geometrical difference between 2D and 3D spaces, projecting the 3D electric distribution to the 2D one in the Breit frame brings about the influence of the quadrupole distribution upon the monopole one. Thus, the 2D charge distribution becomes spin-dependent. This effect should be sorted out from the relativistic effects arising from the Lorentz boost. We first provide the connections between the 2D and 3D distributions in the Breit frame in terms of the angle-dependent Abel transformation. We then provide the differential equations that enable us to map 2D distributions in the Breit frame to those in the infinite momentum frame.

14 pages, 6 figures

References in corpus (9)

• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• Ambiguities in the definition of local spatial densities in light hadrons
• The energy-momentum tensor of spin-1 hadrons: formalism
• Tomography for amplitudes of hard exclusive processes
• Gravitational form factors of a baryon with spin-3/2
• Empirical transverse charge densities in the deuteron
• On the deuteron relativistic charge distributions
• Transverse charge distributions of the nucleon and their Abel images
• Energy-momentum tensor of the nucleon on the light front: Abel tomography case

Cited by in corpus (8)

• Nucleon relativistic polarization and magnetization distributions
• Mechanical structure of a spin-1 particle
• Local spatial densities for composite spin-3/2 systems
• 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
• Medium modification of the nucleon mechanical properties: Abel tomography case
• Mapping the transverse spin sum rule in position space
• Transverse energy-momentum tensor distributions in polarized nucleons