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Moments of the Proton F2 Structure Function at Low Q2

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arxiv hep-ph/0104055 v1 pith:V2IE7L3N submitted 2001-04-05 hep-ph

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

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The Q^2 dependence of inclusive electron-proton scattering F_2 structure function data in both the nucleon resonance region and the deep inelastic region, at momentum transfers below 5 (GeV/c)^2, is investigated. Moments of F_2 are constructed, down to momentum transfers of Q^2 ~ 0.1 (GeV/c)^2. The second moment is only slowly varying with Q^2 down to Q^2 ~ 1 (GeV/c)^2, which is a reflection of duality. Below Q^2 of 1 (GeV/c)^2, the Q^2 dependence of the moments is predominantly governed by the elastic contribution, whereas the inelastic channels still seem governed by local duality.

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  1. Multi-nucleon matrix elements on the lattice with the Feynman-Hellmann theorem

    hep-lat 2025-05 conditional novelty 6.0 of 10

    The first lattice extraction of the lowest F2 moment for a two-nucleon state gives M2 = 0.153 ± 0.019 at Q^2 = 4.66 GeV^2, consistent with the proton.

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