Cumulative structure function in terms of the nucleonic wave function of the nucleus

Abstract

The structure functions of the nucleus in the cumulative region of $x>1$ are studied in terms of nucleon degrees of freedom. At high ${Q}^{2}$ the resulting expressions are presented as a sum of contributions from few-nucleon correlations. Two-nucleon correlations are studied in detail. Spin variables are averaged out. In the region $1<x<2$ the structure functions are calculated using the relativistic interaction proposed by Gross et al. They are found to fall with x faster than an exponential. For carbon at $x=1.05,$ where the method is not rigorously applicable, they turn out to be roughly 2 times larger than the experimental data.