The GDH Sum Rule and Related Integrals

Abstract

The spin structure of the nucleon resonance region is analyzed on the basis of our phenomenological model MAID. Predictions are given for the Gerasimov-Drell-Hearn sum rule as well as generalized integrals over spin structure functions. The dependence of these integrals on momentum transfer is studied and rigorous relationships between various definitions of generalized Gerasimov-Drell-Hearn integrals and spin polarizabilities are derived. These results are compared to the predictions of chiral perturbation theory and phenomenological models.

15 pages LaTeX including 5 figures

References in corpus (18)

• A unitary isobar model for pion photo- and electroproduction on the proton up to 1 GeV
• Measurements of the Proton and Deuteron Spin Structure Functions g1 and g2
• Spin Structure of the Proton from Polarized Inclusive Deep-Inelastic Muon-Proton Scattering
• Spin Physics and Polarized Structure Functions
• Generalized Sum Rules for Spin-Dependent Structure Functions of the Nucleon
• Complete one-loop analysis of the nucleon's spin polarizabilities
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• Spin-Dependent Twist-Four Matrix Elements from g_1 Data in the Resonance Region
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• The Nucleon Spin Polarizability at Order $\mathcal{O}(p^4$) in Chiral Perturbation Theory
• The Spin and Flavour Dependence of High-Energy Photoabsorption
• The Q^2-dependence of the Generalised Gerasimov-Drell-Hearn Integral for the Proton
• The Gerasimov-Drell-Hearn sum rule and the single-pion photoproduction multipole E0+ close to threshold
• The Generalized Gerasimov-Drell-Hearn Integral and the Spin Structure of the Nucleon
• Real and Virtual Compton Scattering off the Nucleon
• Kaon photoproduction on the nucleon: Contributions of kaon-hyperon final states to the magnetic moment of the nucleon
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