yscaling in inclusive scattering

Abstract

We investigate why and under what conditions y scaling occurs in inclusive scattering for large, but nonasymptotic q. We explore an exactly solvable model with a particle bound to an inert core, and study for it also the plane wave, Born, West, and eikonal approximations. For all, a function related to the approximate response manifestly scales in some scaling variable y. We then consider similar functions for the exact response and study the approach to the scaling limit for q→∞. Definite conclusions are reached as to quality, origin, and preferred scaling variables.