Electromagnetic Form Factors for Composite Particles at Large Momentum Transfer

Experimental information now exists on the behavior of electromagnetic form factors $F\left(q\right)\mathrm{}$ at very high momentum transfer $q$. This has led to speculations on the asymptotic behavior of the form factors as $q\to \infty$. In this paper we consider nonrelativistic Schrödinger models of composite systems and correlate the asymptotic behavior of $F\left(q\right)\mathrm{}$ with the nature of the forces in the limit of zero interparticle separation. Conditions for falloff more rapid than powers of $\frac{1}{q}$ are analyzed, and comparisons with proton and deuteron data are presented.