Nuclear structure function $F_2^A$: Moments $M_n\left(F_2^A\right)$ and kinematics beyond $x=1\mathrm{}$

An analysis of the behavior of nuclear structure functions $F_2^A$ at large $x$ and their moments $M_n^A$ at large $n$ has been performed within two theoretical approaches: (i) the QCD-motivated $Q^2$-rescaling model and (ii) the operator product expansion method within an effective meson-nucleon theory which is prompted by nuclear physics. Our theoretical estimates of the nuclear structure function at $x\ge 1$ are in good agreement with existing data. The moments, derived from experimental data, are found to depend essentially on the behavior of the respective structure functions beyond $x=1\mathrm{}$. A relation between the $Q^2$-rescaling parameter ${\xi }_A$ and nuclear averages, i.e., mean kinetic energy and chemical potential of nucleons, as well as a dependence of ${\xi }_A$ on $n$ are established.