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Polynomiality of helicity off-forward distribution functions in the chiral quark-soliton model

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arxiv hep-ph/0303166 v1 pith:NZ4EZES4 submitted 2003-03-19 hep-ph

classification hep-ph
keywords distributionfunctionsmodeloff-forwardpolynomialitychiralhelicityproperty
verification ladder T0 review T1 audit T2 compute T3 formal
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The polynomiality condition -- i.e. the property that Mellin moments of off-forward distribution functions are even polynomials in the skewedness parameter -- is a demanding check of consistency for model approaches. We demonstrate that the helicity off-forward distribution functions in the chiral quark-soliton model satisfy the polynomiality property. The proof contributes to the demonstration that the description of off-forward distribution functions in the model is consistent.

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Forward citations

Cited by 2 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. Nucleon tensor form factors at large $N_{c}$

    hep-ph 2025-01 conditional novelty 6.0 of 10

    In the pion mean-field picture at large Nc, the nucleon tensor charge and anomalous tensor magnetic moment are valence dominated, while the tensor quadrupole moment is sea dominated and strongly enhanced near the chir...

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