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Impact of JLab data on the determination of GPDs at zero skewness and new insights from transition form factors $ N\rightarrow \Delta $

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arxiv 2403.19384 v2 pith:M4GXVVNU submitted 2024-03-28 hep-ph hep-ex

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

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abstract

It is well established now that the generalized parton distributions (GPDs) at zero skewness are playing important roles in some physical process such as elastic electron-nucleon scattering, elastic (anti)neutrino-nucleon scattering, and wide-angle Compton scattering (WACS) via various types of form factors (FFs). In this study, we are going to utilize the recent JLab measurements of the elastic electron-nucleon scattering reduced cross-section, namely GMp12, as a touchstone to unravel the tension observed between the measurements of the WACS cross-section and the data of the proton magnetic FF $ G_M^p $. We also investigate the impact of GMp12 data on valence unpolarized GPDs $ H_v^q $ and $ E_v^q $ at zero skewness by performing some $ \chi^2 $ analyses of the related experimental data. By calculating the electric and scalar quadrupole ratios, $ R_{EM} $ and $ R_{SM} $, and magnetic transition FF $ G^*_M/3G_D $ related to the nucleon-to-delta ($ N\rightarrow \Delta $) transition using the extracted GPDs and comparing the results with corresponding experimental measurements, we show that our results are in an excellent consistency with experiments, indicating the universality property of GPDs. We emphasize that the inclusion of these data in the future analysis of GPDs can significantly affect the extracted GPDs especially their uncertainties at smaller values of $ Q^2 $.

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Cited by 3 Pith papers

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  1. GUMP1.0 -- First global extraction of generalized parton distributions from experiment and lattice data with NLO accuracy

    hep-ph 2025-09 conditional novelty 6.0 of 10

    A new global extraction, GUMP1.0, fits generalized parton distributions to 2,646 experimental and lattice data points at NLO accuracy and uses them to image the proton and decompose its spin.

  2. Mechanical properties of the $\Omega^-$ baryon from gravitational form factors

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Using QCD sum rules, the authors extract seven gravitational form factors of the Omega baryon and derive its internal energy, angular momentum, pressure, shear, radii, and D-terms.

  3. Mechanical properties of the nucleon from the generalized parton distributions

    hep-ph 2025-01 conditional novelty 5.0 of 10

    Using a double-distribution GPD model constrained by elastic-scattering data, the paper fits DQ(0) = -3.37 ± 0.17 from Compton form factors and derives proton pressure, shear, and radii.

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