Pointlike constituent quarks and scattering equivalences

Abstract

In this paper scattering equivalences are used to simplify current operators in constituent quark models. The simplicity of the method is illustrated by applying it to a relativistic constituent quark model that fits the meson mass spectrum. This model requires a non-trivial constituent quark current operator to fit the pion form factor data. A model with a different confining interaction, that has the identical spectrum and can reproduce the measured pion form factor using only point-like constituent quark impulse currents is constructed. Both the original and transformed models are relativistic direct-interaction models with a light-front kinematic subgroup.

12 pages, 6 figures, corrected caption on fig 6

References in corpus (6)

• Measurement of the Charged Pion Electromagnetic Form Factor
• Nucleon and pion electromagnetic form factors in a light-front constituent quark model
• Hard Constituent Quarks and Electroweak Properties of Pseudoscalar Mesons
• Baryon Form Factors of Relativistic Constituent-Quark Models
• Useful Bases for Problems in Nuclear and Particle Physics
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Cited by in corpus (7)

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• Electron and Photon Scattering on Three-Nucleon Bound States
• Spectator-model operators in point-form relativistic quantum mechanics
• Charge Form Factors of Quark-Model Pions II
• Mini review of Poincaré invariant quantum theory
• Model tests of cluster separability in relativistic quantum mechanics
• Asymptotics of the deuteron form factors in the nucleon model and JLab experiments