Covariant nucleon wave function with S, D, and P-state components

Abstract

Expressions for the nucleon wave functions in the covariant spectator theory (CST) are derived. The nucleon is described as a system with a off-mass-shell constituent quark, free to interact with an external probe, and two spectator constituent quarks on their mass shell. Integrating over the internal momentum of the on-mass-shell quark pair allows us to derive an effective nucleon wave function that can be written only in terms of the quark and diquark (quark-pair) variables. The derived nucleon wave function includes contributions from S, P and D-waves.

13 pages and 1 figure

References in corpus (8)

• Nucleon Electromagnetic Form Factors
• Nucleon electromagnetic form factors
• A pure S-wave covariant model for the nucleon
• Resolution of the Proton Spin Problem
• D-state effects in the electromagnetic N-Delta transition
• A relativistic quark model for the Omega- electromagnetic form factors
• Fixed-axis polarization states: covariance and comparisons
• Phenomenological hadron form factors: shape and relativity

Cited by in corpus (33)

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• Using the Single Quark Transition Model to predict nucleon resonance amplitudes
• The shape of the $\Delta$ baryon in a covariant spectator quark model
• Semirelativistic approximation to the ${\gamma }^{\ast }N\to N(1520)$ and ${\gamma }^{\ast }N\to N(1535)$ transition form factors
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• Electroweak form factors of baryons in dense nuclear matter
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