R ratios and moments of nuclear structure functions

We study implications of a model which links nuclear and nucleon structure functions. For this model, computed Callen-Gross functions ${\ensuremath{\kappa}}^{A}{(x,Q}^{2}{)=2\mathrm{xF}}_{1}^{A}{(x,Q}^{2}{)/F}_{2}^{A}{(x,Q}^{2})$ are for finite ${Q}^{2}$ close to their asymptotic value 1. Using those $\ensuremath{\kappa},$ we compute R ratios for ${Q}^{2}\ensuremath{\gtrsim}5{\mathrm{GeV}}^{2}.$ We review approximate methods for the extraction of R from inclusive scattering and EMC data. We also calculate ratios of moments of ${F}_{k}^{A}$ and find these to describe the data and in particular their ${Q}^{2}$ dependence. The above observables, as well as inclusive cross sections, are sensitive tests for the underlying relation between nucleonic and nuclear structure functions. In view of the overall agreement, we speculate that the above relation effectively circumvents a QCD calculation.