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Transversity distributions in the nucleon in the large-N_c limit

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arxiv hep-ph/0101300 v1 pith:IQ5YIZCE submitted 2001-01-26 hep-ph

classification hep-ph
keywords deltadistributionsnucleonquarktransversityantiquarkchirallimit
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We compute the quark and antiquark transversity distributions in the nucleon at a low normalization point of 600 MeV in the large-$N_c$ limit, where the nucleon can be described as a soliton of an effective chiral theory (chiral quark-soliton model). The flavor-nonsinglet distributions, $\delta u(x) - \delta d(x)$ and $\delta\bar u(x) - \delta\bar d(x)$, appear in leading order of the $1/N_c$-expansion, while the flavor-singlet distributions, $\delta u(x) + \delta d(x)$ and $\delta\bar u(x) + \delta\bar d(x)$, are non-zero only in next-to-leading order. The transversity quark and antiquark distributions are found to be significantly different from the longitudinally polarized distributions $\Delta u (x) \pm \Delta d (x)$ and $\Delta\bar u (x) \pm \Delta\bar d (x)$, respectively, in contrast to the prediction of the naive non-relativistic quark model. We show that this affects the predictions for the spin asymmetries in Drell-Yan pair production in transversely polarized pp and ppbar collisions.

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Cited by 4 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...

  3. Transverse-spin dependent energy-energy correlators in proton-proton collisions within the dihadron fragmentation framework

    hep-ph 2026-07 unverdicted novelty 5.0 of 10

    Numerical predictions for transverse-spin dependent energy-energy correlators in polarized pp collisions agree with recent STAR data and show a slight preference for transversity extractions consistent with lattice QCD.

  4. Impact of Future Dihadron Production Measurements on the Transversity Distributions and Tensor Charges of the Nucleon

    hep-ph 2026-05 unverdicted novelty 4.0 of 10

    Pseudo-data from CLAS12, SoLID, and ePIC experiments are incorporated into the JAMDiFF analysis to forecast reduced uncertainties on transversity PDFs at intermediate-to-large x from JLab and across all x from EIC, pl...

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