Dispersion relations and the spin polarizabilities of the nucleon

Abstract

A forward dispersion calculation is implemented for the spin polarizabilities ${\gamma }_1,...,{\gamma }_4$ of the proton and the neutron. These polarizabilities are related to the spin structure of the nucleon at low energies and are structure-constants of the Compton scattering amplitude at $\mathcal{O}({\omega }^3)$. In the absence of a direct experimental measurement of these quantities, a dispersion calculation serves the purpose of constraining the model building, and of comparing with recent calculations in heavy baryon chiral perturbation theory.

14 pages Latex, 1 ps figure

References in corpus (1)

• Delta(1232) and the Polarizabilities of the Nucleon

Cited by in corpus (20)

• Electromagnetic Form Factors of the Nucleon and Compton Scattering
• Fixed-t subtracted dispersion relations for Compton scattering off the nucleon
• Complete one-loop analysis of the nucleon's spin polarizabilities
• Generalized Polarizabilities of the Nucleon in Chiral Effective Theories
• Deuteron Compton scattering below pion photoproduction threshold
• Spin polarisabilities of the nucleon at NLO in the chiral expansion
• Backward spin polarizability ${\gamma }_{\pi }$ of the proton
• Sum rule for the backward spin polarizability of the nucleon from a backward dispersion relation
• Compton scattering from the proton at NLO in the chiral expansion
• Model-independent effects of Delta excitation in nucleon polarizabilities
• Comment on "Complete One-Loop Analysis of the Nucleon's Spin Polarisabilities"
• Dispersion theory of nucleon Compton scattering and polarizabilities
• Predictions for Polarized-Beam/Vector-Polarized-Target Observables in Elastic Compton Scattering on the Deuteron
• Real and Virtual Compton Scattering at Low Energies
• Structure of the nucleon and spin-polarizabilities
• Generalized polarizabilities and electroexcitation of the nucleon
• Hyperon forward spin polarizabilty gamma0
• One-loop calculations of hyperon polarizabilities under the large N_c consistency condition
• Spin-Polarizabilities of the Nucleon in Chiral Soliton Model with Dispersion Relation
• Spin Polarisability of the Nucleon in the Heavy Baryon Effective Field Theory