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On the definition of local spatial densities in hadrons

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arxiv 2201.02565 v1 pith:AVQEITLX submitted 2022-01-07 hep-ph hep-exnucl-th

classification hep-phhep-exnucl-th
keywords localspatialchargedefinitiondensitiesdensityassociatedclarify
verification ladder T0 review T1 audit T2 compute T3 formal
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We show that the matrix element of a local operator between hadronic states gives rise to an unambiguous definition of the associated spatial density. As an explicit example, we consider the charge density of a spinless particle in the rest and moving frames and clarify its relationship to the electric form factor. Our results suggest that the interpretation of the spatial densities of local operators and their moments such as the mean square charge radius needs to be revised.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Lattice evidence that scalar glueballs are small

    hep-lat 2025-08 conditional novelty 8.0 of 10

    First lattice extraction of scalar glueball gravitational form factors gives a mass radius of 0.263(31) fm, smaller than typical hadrons.

  2. Polarized Nucleon as a Topological Dipole

    hep-ph 2026-07 accept novelty 7.0 of 10

    A polarized nucleon generically hosts a topological charge dipole q_top ∝ S · r̂ whose moment equals −ΔΣ/N_f in the chiral limit.

  3. Radiative corrections in neutral-current (anti)neutrino elastic scattering at $\text{GeV}$ energies I: Nucleon targets

    hep-ph 2026-07 conditional novelty 6.0 of 10

    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.

  4. Imaging the charge distributions of flavor-symmetric and -asymmetric mesons

    hep-ph 2025-06 conditional novelty 5.0 of 10

    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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