QUASI-ELASTIC ELECTRON-SCATTERING ON A 2-NUCLEON MODEL SYSTEM - SCALING AND CUMULANT EXPANSION OF THE STRUCTURE-FUNCTION

The structure function S(q,) for quasielastic electron scattering on a nonrelativistic two-nucleon model system is evaluated numerically. These S values are considered as pseudodata to study sum rules, y scaling, and the cumulant expansion. For the force models considered it is found that the reduced structure function (q/2m)S(q,) in the limit q scales to the longitudinal momentum distribution PL(y) in the target. Except for small y values, this limit, however, is reached only very slowly, which may be due to the strictly nonrelativistic treatment. The cumulant expansion based on low-order cumulants is not useful. We also derive the analytical result that in our potential model S(q,)=O(-5.5) for and fixed q. This shows that higher-order cumulants do not exist. © 1990 The American Physical Society.