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Pion and nucleon relativistic electromagnetic four-current distributions
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abstract
The quantum phase-space approach allows one to define relativistic spatial distributions inside a target with arbitrary spin and arbitrary average momentum. We apply this quasiprobabilistic formalism to the whole electromagnetic four-current operator in the case of spin-$0$ and spin-$\frac{1}{2}$ targets, study in detail the frame dependence of the corresponding spatial distributions, and compare our results with those from the light-front formalism. While former works focused on the charge distributions, we extend here the investigations to the current distributions. We clarify the role played by the Wigner rotation and argue that electromagnetic properties are most naturally understood in terms of Sachs form factors, contrary to what the light-front formalism previously suggested. Finally, we illustrate our results using the pion and nucleon electromagnetic form factors extracted from experimental data.
Forward citations
Cited by 3 Pith papers
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Radiative corrections in neutral-current (anti)neutrino elastic scattering at $\text{GeV}$ energies I: Nucleon targets
Radiative corrections to neutral-current (anti)neutrino-nucleon elastic scattering are computed within low-energy EFT and reach a few percent, comparable to the strange-quark effects they must be disentangled from.
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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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Imaging the charge distributions of flavor-symmetric and -asymmetric mesons
Using a maximum-entropy inversion of DSE/BSE form factors, the authors map meson charge profiles and find quark-antiquark distances that shrink with quark mass and grow by 5-15% for spin-aligned mesons.
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