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Transition GPDs and exclusive electroproduction of $\pi-\Delta(1232)$ final states

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arxiv 2211.09474 v1 pith:Z63AOOEQ submitted 2022-11-17 hep-ph hep-ex

classification hep-phhep-ex
keywords gpdsdeltaamplitudeselectroproductionexclusivehelicitylarge-account
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate exclusive electroproduction of $\pi^-\Delta^{++}$ within the handbag approach in which the helicity amplitudes factorize into generalized parton distributions (GPDs) and hard partonic subprocesses. We define the $p-\Delta$ transversity GPDs while the helicity non-flip GPDs are taken from the literature. For the numerical estimates of observables we utilize large-$N_C$ results in order to relate a few of the $p-\Delta$ GPDs to the proton-proton ones and neglect all other GPDs. In the calculation of the twist-2 and twist-3 subprocess amplitudes we take into account quark transverse momenta in combination with Sudakov suppressions. The partial cross sections for $\gamma^*p\to \pi^-\Delta^{++}$ are predicted in the large-$N_C$ limit.

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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. Multipole structure of the $N \to \Delta$ Transition Generalized Parton Distributions

    hep-ph 2026-07 accept novelty 6.0 of 10

    The four N oΔ transition GPDs decompose into monopole, two dipole and quadrupole multipole GPDs in one-to-one correspondence with light-front helicity amplitudes, defining impact-parameter transition densities at zero...

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    cs.CV 2025-08 unverdicted novelty 6.0 of 10

    The supplied body text is an unrelated physics preprint (arXiv:2508.11491), so the advertised autonomous-driving results cannot be verified from this submission.

  3. 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.

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