Asymptotics of the deuteron form factors in the nucleon model and JLab experiments

Abstract

Using the instant form dynamics of Poincaré invariant quantum mechanics and the modified relativistic impulse approximation proposed previously we calculate asymptotics of electromagnetic form factors for the deuteron considered as two--nucleon system. We show that today experiment on the elastic $ed$-scattering has reached asymptotic regime. The possible range of momentum transfer when the quark degrees of freedom could be seen in future JLab experiments is estimated. The explicit relation between the behavior of deuteron wave function at $r=0$ and the form factors asymptotics is obtained. The conditions on wave functions to give the asymptotics predicted by QCD and quark counting rules are formulated.

9 pages, 1 figure

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• A new parameterization of the nucleon elastic form factors
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• Analytical Form of the Deuteron Wave Function Calculated within the Dispersion Approach
• Asymptotic estimation of some multiple integrals and the electromagnetic deuteron form factors at high momentum transfer

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