Duality in the inelastic structure function and the disappearing Δ resonance

We study the dual relationship between the resonances and the scaling curve for the inelastic structure function νW₂ in the Q² range 1 to 17 (GeV/c)². We focus on an exception to the rule that resonance bumps fall with increasing Q² at the same rate as the background, namely, the Δ(1232), for which the resonance falls faster than the background. We show that νW₂, averaged over suitable ranges of x, yields the smooth scaling curve seen at higher values of Q² at the same values of x, for all resonance regions. The fall of the Δ(1232) and corresponding rise of the background hints at a common dynamics for both.