Nucleon generalized polarizabilities within a relativistic Constituent Quark Model

Abstract

Nucleon generalized polarizabilities are investigated within a relativistic framework, defining such quantities through a Lorentz covariant multipole expansion of the amplitude for virtual Compton scattering. The key physical ingredients in the calculation of the nucleon polarizabilities are the Lorentz invariant reduced matrix elements of the electromagnetic transition current, which can be evaluated from off-energy-shell helicity amplitudes. The evolution of the proton paramagnetic polarizability, ${\beta }_{para}(q)$, as a function of the virtual-photon three-momentum transfer $q,$ is explicitly evaluated within a relativistic constituent quark model by adopting transition form factors obtained in the light-front formalism. The discussion is focussed on the role played by the effects due to the relativistic approach and to the transition form factors, derived within different models.

14 pages and three figures (included), to appear in Phys. Rev. C (May 1998)

References in corpus (12)

• Deeply Virtual Compton Scattering
• Scaling Limit of Deeply Virtual Compton Scattering
• Nucleon and pion electromagnetic form factors in a light-front constituent quark model
• Virtual Compton Scattering and Generalized Polarizabilities of the Proton
• Structure analysis of the virtual Compton scattering amplitude at low energies
• Generalized Polarizabilities and the Chiral Structure of the Nucleon
• Generalized polarizabilities and the spin-averaged amplitude in virtual Compton scattering off the nucleon
• Virtual Compton Scattering off the Nucleon in Chiral Perturbation Theory
• Electroproduction of the Roper resonance and the constituent quark model
• Virtual Compton Scattering from the Proton and the Properties of Nucleon Excited States
• Electromagnetic $N-\Delta$ transition form factors in a light-front constituent quark model
• Generalized polarizabilities of the nucleon studied in the linear sigma model (II)

Cited by in corpus (11)

• QED radiative corrections to virtual Compton scattering
• Generalized dipole polarizabilities and the spatial structure of hadrons
• Dispersion Theory in Electromagnetic Interactions
• Low-energy and low-momentum representation of the virtual Compton scattering amplitude
• Generalized polarizabilities of the proton in a constituent quark model revisited
• Dispersion relation formalism for virtual Compton scattering and the generalized polarizabilities of the nucleon
• Single--Spin Asymmetries in the Bethe--Heitler Process $e^{-}+p\to e^{-}+\gamma +p$ from QED Radiative Corrections
• Real and Virtual Compton Scattering off the Nucleon
• Measured proton electromagnetic structure deviates from theoretical predictions
• Real and Virtual Compton Scattering at Low Energies
• The Proton Electromagnetic Generalized Polarizabilities