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Generalized parton distributions in spin-3/2 particles

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arxiv 2209.12161 v3 pith:NPOB62KR submitted 2022-09-25 hep-ph

classification hep-ph
keywords gpdsfunctionspartondistributioneightgeneralizedparticlesspin-3
verification ladder T0 review T1 audit T2 compute T3 formal
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Generalized parton distribution functions (GPDs) of spin-3/2 particles are defined for the first time in this paper. Eight unpolarized and eight polarized GPDs are found. In the forward limit of GPDs, the structure functions and parton distribution functions are obtained. Then, the sum rules that connect the GPDs with the electromagnetic and gravitational form factors are explicitly displayed. Finally, the relations between GPDs and the helicity amplitudes of the system are derived.

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Cited by 3 Pith papers

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

  1. Chiral-odd generalized parton distributions in the large-$N_{c}$ limit of QCD: Next-to-leading-order contributions

    hep-ph 2025-06 conditional novelty 6.0 of 10

    Derives the NLO (1/Nc) chiral-odd GPDs in the pion mean-field picture, proves polynomiality and sum rules, and gives gradient-expansion estimates partially matching lattice QCD.

  2. Mechanical properties of the $\Omega^-$ baryon from gravitational form factors

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Using QCD sum rules, the authors extract seven gravitational form factors of the Omega baryon and derive its internal energy, angular momentum, pressure, shear, radii, and D-terms.

  3. Off-shell modifications of the pion generalized parton distributions and transverse momentum dependent parton distributions

    hep-ph 2025-07 conditional novelty 5.0 of 10

    In the NJL model, off-shell pion GPDs and TMDs differ from on-shell ones by 15 to 25 percent and acquire new odd-power form factors from broken crossing symmetry.

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