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Polynomiality of unpolarized off-forward distribution functions and the D-term in the chiral quark-soliton model

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arxiv hep-ph/0207230 v2 pith:6STW5JHZ submitted 2002-07-18 hep-ph

classification hep-ph
keywords distributionfunctionsmodeloff-forwardpolynomialitychirald-termmoments
verification ladder T0 review T1 audit T2 compute T3 formal

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Mellin moments of off-forward distribution functions are even polynomials of the skewedness parameter. This constraint, called polynomiality property, follows from Lorentz- and time-reversal invariance. We prove that the unpolarized off-forward distribution functions in the chiral quark-soliton model satisfy the polynomiality property. The proof is an important contribution to the demonstration that the description of off-forward distribution functions in the model is consistent. As a byproduct of the proof we derive explicit model expressions for moments of the D-term and compute the first coefficient in the Gegenbauer expansion for this term.

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Forward citations

Cited by 4 Pith papers

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

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    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.

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    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...

  3. Chiral-odd generalized parton distributions in the large-$N_{c}$ limit of QCD: Spin-flavor structure, polynomiality, sum rules

    hep-ph 2024-11 conditional novelty 6.0 of 10

    In the large-Nc limit of QCD, the flavor-nonsinglet chiral-odd GPDs E_T and tilde H_T are predicted to obey 2 tilde H_T^{u-d} = -E_T^{u-d} at leading order, with four independent mean-field GPDs including a previously...

  4. Nucleon's energy-momentum tensor form factors in light-cone QCD

    hep-ph 2019-08 conditional novelty 5.0 of 10

    The paper reports nucleon energy-momentum tensor form factors from light-cone QCD sum rules, with zero-momentum values consistent with JLab data and lattice QCD.

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