Trouble in Asymptopia---the Hulthen Model on the Light Front

Abstract

We use light-front dynamics to calculate the electromagnetic form-factor for the Hulthen model of the deuteron. For small momentum transfer Q^2 < 5 GeV^2 the relativistic effects are quite small. For Q^2 = 11 GeV^2 there is about a 13% discrepancy between the relativistic and non-relativistic approaches. For asymptotically large momentum transfer, however, the light-front form factor, log Q^2 /Q^4, markedly differs from the non-relativistic version, 1/Q^4. This behavior is also present for any wave function, such as those obtained from realistic potential models, which can be represented as a sum of Yukawa functions. Furthermore, the asymptotic behavior is in disagreement with the Drell-Yan-West relation. We investigate precisely how to determine the asymptotic behavior and confront the problem underlying troublesome form factors on the light front.

20 pages, 8 figures Accepted by Phys. Rev C

References in corpus (4)

• Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
• Light Front Quantization--A Technique for Relativistic and Realistic Nuclear Physics
• Light Front Nuclear Physics: Toy Models, Static Sources and Tilted Light Front Coordinates
• Light-Front Dynamics

Cited by in corpus (8)

• Exploring skewed parton distributions with two body models on the light front II: covariant Bethe-Salpeter approach
• Exploring Skewed Parton Distributions with Two-body Models on the Light Front I: bimodality
• The Relation Between Equal-Time and Light-Front Wave Functions
• Probing short-range nucleon-nucleon interactions with an Electron-Ion Collider
• Initial-State Coulomb Interaction in the dd -> alpha pi^0 Reaction
• Subthreshold production of $J/\psi$ mesons from the deuteron with SoLID
• On the relation between the Deuteron Form Factor at High Momentum Transfer and the High Energy Neutron-Proton Scattering Amplitude
• Light-Front Dynamics and Generalized Parton Distributions