A Comparison between Relativistic and Semi-Relativistic Treatment in the Diquark-Quark Model

Abstract

In the diquark-quark model of the nucleon including scalar and axialvector diquarks we compare solutions of the ladder Bethe-Salpeter equation in the instantaneous Salpeter approximation and in the fully covariant (i.e. four-dimensional) treatment. We obtain that the binding energy is severly underestimated in the Salpeter approximation. For the electromagnetic form factors of the nucleon we find that in both approaches the overall shapes of the respective form factors are reasonably similar up to $Q^2\approx 0.4$ GeV^2. However, the magnetic moments differ substantially as well as results for the pion-nucleon and the axial coupling of the nucleon.

12 pages,4 figures, 3 tables; minor modifications in text and tables, references added, version to be published in Physics Letters B

References in corpus (1)

• Nucleon form factors and a nonpointlike diquark

Cited by in corpus (6)

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• Proper constituent gluon mass as the final piece to construct hybrid mesons
• Parametrizations of Quark Confinement in Production Processes