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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

E. Epelbaum , J. Gegelia , N. Lange , U.-G. Mei{ss}ner , M. V. Polyakov This is my paper · ORCID
classification hep-phhep-exnucl-th
keywords localspatialchargedefinitiondensitiesdensityassociatedclarify
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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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Forward citations

Cited by 8 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. Quantum stresses in the hydrogen atom

    hep-ph 2024-12 accept novelty 7.0 of 10

    For the hydrogen ground state, the \bar{c} gravitational form factor, not the D-term, carries the local force law, supporting a literal stress interpretation under pilot wave ontology.

  4. Transverse distributions of the energy-momentum tensor for a spin-$3/2$ baryon

    hep-ph 2026-08 conditional novelty 6.0 of 10

    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.

  5. 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.

  6. Gravitational form factors of the deuteron

    nucl-th 2024-11 conditional novelty 6.0 of 10

    First chiral EFT extraction of the deuteron gravitational form factors; D2 and D3 disagree with model calculations, notably D3 is finite at q=0.

  7. 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.

  8. Baryon Form Factors

    hep-ph 2024-12 accept novelty 2.0 of 10

    A review of baryon form factors summarizing the authors' dispersion-theoretical fits, which yield r_p^E = 0.840 fm, r_p^M = 0.849 fm, and r_n^M = 0.864 fm.

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