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.
Moments of the Proton F2 Structure Function at Low Q2
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abstract
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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Multi-nucleon matrix elements on the lattice with the Feynman-Hellmann theorem
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.