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Ambiguities in the definition of local spatial densities in light hadrons

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arxiv 2010.15887 v3 pith:E2XDPE5T submitted 2020-10-29 hep-ph hep-latnucl-exnucl-th

Robert L. Jaffe This is my paper · ORCID
classification hep-phhep-latnucl-exnucl-th
keywords intrinsiclocalalthoughambiguitiesassociatedchargecomptoncompute
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The relationship between the matrix element of a local operator and the Fourier transform of the associated form factor fails for systems such as the nucleon where its intrinsic size is of order its Compton wavelength. Although one can conceive of an intrinsic charge density distribution in the proton, there does not seem to be an unambiguous way to define, compute, or measure it precisely.

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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 stress and torsion distributions in the deuteron

    nucl-th 2026-02 conditional novelty 7.0 of 10

    First complete non-relativistic impulse-approximation calculation of all eleven deuteron EMT form factors, including non-conserved c-bar and s-bar form factors that map to force and torsion distributions inside the nucleons.

  4. Transverse energy-momentum tensor distributions in polarized nucleons

    hep-ph 2026-04 unverdicted novelty 6.0 of 10

    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.

  5. Reconstruction of Gravitational Form Factors using Generative Machine Learning

    hep-ph 2026-02 conditional novelty 6.0 of 10

    A diffusion model trained on synthetic physics-motivated curves reconstructs the proton's A(t), J(t), D(t) from sparse data, extracting c8=-4.6±0.8, c9=-0.61±0.19, and D(0)=-4.3±0.8.

  6. Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory

    hep-ph 2025-07 conditional novelty 5.0 of 10

    A Skyrme model with a dilaton field attributes the proton's negative internal pressure and confining force to the gluonic scale anomaly, and reproduces the lattice QCD D(t) form factor.

  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. Misconceptions About the Physics of the QCD Trace Anomaly from Renormalization in a Reducible Basis

    hep-ph 2026-08 conditional novelty 4.0 of 10

    This paper critiques reducible-basis renormalization of the QCD trace anomaly, arguing it introduces unphysical scheme dependence and that the standard whole-anomaly decomposition is the only symmetry-allowed choice.

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