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Transverse Charge Densities
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Electromagnetic form factors have long been used to probe the underlying charge and magnetization densities of hadrons and nuclei. Traditional three-dimensional Fourier transform methods are not rigorously applicable for systems with constituents that move relativistically. The use of the transverse charge density is a new, rigorously defined way to analyze electromagnetic form factors of hadrons.This review is concerned with the following issues: what is a transverse charge density; how is one extracted one from elastic scattering data; the existing results; what is the relationship with other observable quantities; and, future prospects.
Forward citations
Cited by 7 Pith papers
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Transverse distributions of the energy-momentum tensor for a spin-$3/2$ baryon
The paper derives the longitudinal-boost dependence of transverse energy-momentum tensor distributions for a spin-3/2 baryon and matches the infinite-momentum limit to direct light-front results.
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Transverse energy-momentum tensor distributions in polarized nucleons
Transverse EMT distributions in polarized nucleons are derived in the quantum phase-space formalism; they reduce to standard light-front densities (including bad components) in the infinite-momentum frame.
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Mapping the transverse spin sum rule in position space
Derives relativistic spatial distributions of transverse orbital angular momentum, intrinsic spin, and total angular momentum in the transverse plane for spin-0 and spin-1/2 targets via quantum phase-space formalism a...
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Relativistic energy-momentum tensor distributions in a polarized nucleon
Relativistic EMT distributions in polarized nucleons recover good and bad light-front components in the IMF after including polarization effects.
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Transverse densities of the energy-momentum tensor and the gravitational form factors the pion
The scalar gravitational transverse density of the pion, related to the trace anomaly, must change sign with transverse distance, while the tensor density is positive definite.
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On the Impossibility of Obtaining Time-Independent, Three-Dimensional, Spherically-Symmetric Densities of Confined Systems of Relativistically Moving Constituents
Time-independent three-dimensional spherical densities cannot be defined for relativistic confined systems; only transverse two-dimensional light-front densities are consistent with quantum mechanics and Poincare invariance.
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Nucleon relativistic weak-neutral axial-vector four-current distributions
The 3D axial charge density of a spin-1/2 hadron is parity-odd and controlled by the induced pseudotensor form factor G_T^Z, while the second-class current drops out of the mean-square axial and spin radii.
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