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Chiral-odd GPDs in the bag model

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arxiv 2404.11563 v2 pith:WKO2V4IX submitted 2024-04-17 hep-ph

classification hep-ph
keywords modelgpdschiral-oddcalculationsotherquarkresultstilde
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

A study of chiral-odd generalized parton distributions (GPDs) of the nucleon is presented in the bag model demonstrating that in this model all four chiral-odd GPDs are non-zero contrary to other claims in literature. The bag model results for the GPDs $H_T^q(x,\xi,t)$, $E_T^q(x,\xi,t)$, $\tilde{H}_T^q(x,\xi,t)$ agree with other models within a typical quark model accuracy. We present one of the few quark model calculations where polynomiality is satisfied and the sum rule $\int dx\,\tilde{E}_T^q(x,\xi,t)=0$ holds. We confront our results with predictions from the large-$N_c$ limit, and with lattice QCD calculations. We conclude that the bag model successfully catches the main features of chiral-odd GPDs.

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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. Three-dimensional imaging of hadrons with hard exclusive reactions: advances in experiment, theory, phenomenology, and lattice QCD

    hep-ph 2025-12 unverdicted novelty 2.0 of 10

    A community white paper reviewing GPD-based 3D imaging of hadrons — experiment, theory, phenomenology, lattice QCD — and the roadmap toward precision tomography at JLab, COMPASS, J-PARC, and future electron-ion colliders.

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