Two-dimensional charge distributions of the $\Delta$ baryon: Interpolation between the nonrelativistic and ultrarelativistic limit

Abstract

We investigate how the charge distributions of both the unpolarized and transversely polarized $\Delta$ baryon change as the longitudinal momentum~($P_z$) of the $\Delta$ baryon increases from $P_z=0$ to $P_z=\infty$ in a Wigner phase-space perspective. When the $\Delta$ baryon is longitudinally polarized, its two-dimensional charge distribution is kept to be spherically symmetric with $P_z$ varied, whereas when the $\Delta$ baryon is transversely polarized along the $x$-axis, the quadrupole contribution emerges at the rest frame ($P_z=0$). When $P_z$ grows, the electric dipole and octupole moments are induced. The induced dipole moment dominates over other higher multipole contributions and governs the deformation of the charge distribution of the $\Delta$ baryon.

22 pages, 12 figures

References in corpus (21)

• Electromagnetic excitation of the Delta(1232)-resonance
• Empirical transverse charge densities in the nucleon and the nucleon-to-$\Delta$ transition
• On the Pion Distribution Amplitude Shape
• Realistic Transverse Images of the Proton Charge and Magnetic Densities
• Singular Charge Density at the Center of the Pion?
• Empirical transverse charge densities in the deuteron
• Quantifying the nucleon's pion cloud with transverse charge densities
• Pion transverse charge density from timelike form factor data
• On the definition of electromagnetic local spatial densities for composite spin-$1/2$ systems
• Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• On the deuteron relativistic charge distributions
• Mechanical structure of a spin-1 particle
• Deuteron transverse densities in holographic QCD
• Transverse charge distributions of the nucleon and their Abel images
• Form factors and transverse charge and magnetization densities in the hard-wall AdS/QCD model
• Local spatial densities for composite spin-3/2 systems
• Electromagnetic multipole structure of a spin-one particle: Abel tomography case
• Neutron Charge Density from Simple Pion Cloud Models
• Transverse charge and current densities in the nucleon from dispersively improved chiral effective field theory
• Transverse densities and generalized parton distributions of $\rho$ meson in light front quark model
• Kaon transverse charge density from space- and timelike data

Cited by in corpus (5)

• Nucleon relativistic polarization and magnetization distributions
• Electromagnetic and gravitational local spatial densities for spin-1 systems
• Relativistic energy-momentum tensor distributions in a polarized nucleon
• Mapping the transverse spin sum rule in position space
• Transverse energy-momentum tensor distributions in polarized nucleons