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

TL;DR

This paper analyzes the asymptotic behavior of deuteron electromagnetic form factors using relativistic quantum mechanics, showing current experiments reach asymptotic regimes and estimating future quark-level observation conditions.

Contribution

It provides a detailed calculation of deuteron form factor asymptotics within a relativistic framework and links wave function behavior to QCD predictions.

Findings

Current elastic ed-scattering experiments reach asymptotic regimes.

Conditions on wave functions for QCD asymptotics are formulated.

Estimates for momentum transfer ranges to observe quark effects in future experiments.

Abstract

Using the instant form dynamics of Poincar\'e 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.