xandξscaling of the nuclear structure function at largex
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Abstract
Inclusive electron scattering data are presented for ${}^{2}\mathrm{H},$ C, Fe, and Au targets at an incident electron energy of 4.045 GeV for a range of momentum transfers from ${Q}^{2}=1$ to $7 (\mathrm{GeV}{/c)}^{2}.$ Data were taken at Jefferson Laboratory for low values of energy loss, corresponding to values of Bjorken $x\ensuremath{\gtrsim}1.$ The structure functions do not show scaling in x in this range, where inelastic scattering is not expected to dominate the cross section. The data do show scaling, however, in the Nachtmann variable $\ensuremath{\xi}.$ This scaling appears to be the result of Bloom- Gilman duality in the nucleon structure function combined with the Fermi motion of the nucleons in the nucleus. The resulting extension of scaling to larger values of $\ensuremath{\xi}$ opens up the possibility of accessing nuclear structure functions in the high-$x$ region at lower values of ${Q}^{2}$ than previously believed.
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