Modeling quark-hadron duality for relativistic, confined fermions

Abstract
We discuss a model for the study of quark-hadron duality in inclusive electron scattering based on solving the Dirac equation numerically for a scalar confining linear potential and a vector color Coulomb potential. We qualitatively reproduce the features of quark-hadron duality for all potentials considered, and discuss the similarities and differences to previous models that simplified the situation by treating either the quarks or all particles as scalars. We discuss the scaling results for the plane-wave impulse approximation and final-state interactions, and the approach to scaling using the analog of the Callan-Gross relation for y scaling.