Generalized Drell-Hearn-Gerasimov Sum Rule at Order {\cal O}(p^4) in Chiral Perturbation Theory

Abstract

We calculate the forward spin-dependent photon-nucleon Compton amplitudes $S_1$ and $S_2$ as functions of photon energy $\nu$ and mass $Q^2$ at the next-to-leading ($\mathcal{O}(p^4)$) order in chiral perturbation theory, from which we extract the contribution to a generalized Drell-Hearn-Gerasimov sum rule at low $Q^2$. The result indicates a much rapid $Q^2$ variation of the sum rule than a simple dimensional analysis would yield.

7 pages, latex, one figure included

Cited by in corpus (48)

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• Quark-Hadron Duality in Electron Scattering
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• The Spin Structure of the Nucleon
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• Q^2 Evolution of the Neutron Spin Structure Moments using a He-3 Target
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• Determination of the Proton Spin Structure Functions for 0.05 < Q^2 < 5 GeV^2 using CLAS
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• Sum Rules and Moments of the Nucleon Spin Structure Functions
• The Gerasimov-Drell-Hearn Sum Rule
• Measurement of the Bjorken Sum at very low $Q^2$
• Generalized Gerasimov-Drell-Hearn Sum Rule for the Proton-Neutron Difference in Chiral Perturbation Theory
• Dispersion Theory in Electromagnetic Interactions
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• Measurement of the proton spin structure at long distances
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• Measurement of the 3He Spin-Structure Functions and of Neutron (3He) Spin-Dependent Sum Rules at 0.035<Q^2<0.24 GeV^2
• The Q^2-dependence of the Generalised Gerasimov-Drell-Hearn Integral for the Proton
• New experimental constraints on polarizability corrections to hydrogen hyperfine structure
• Moments of Spin Structure Functions: Sum Rules and Polarizabilities
• Higher moments of nucleon spin structure functions in heavy baryon chiral perturbation theory and in a resonance model
• Spin-dependent sum rules connecting real and virtual Compton scattering verified
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• Measurement of the Q^2-evolution of the Bjorken integral and extraction of an effective strong coupling constant at low Q^2
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• The g2p Experiment: A Measurement of the Proton's Spin Structure Functions
• Gerasimov-Drell-Hearn Sum Rule and the Discrepancy between the New CLAS and SAPHIR Data
• Highlights and Perspectives of the JLab Spin Physics Program
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• Spin Response of the Nucleon in the Resonance Region
• Hyperon forward spin polarizabilty gamma0
• Photo-production of Nucleon Resonances and Nucleon Spin Structure Function in the Resonance Region
• Highlights of Recent Results with Clas
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• Study of spin sum rules (and the strong coupling constant at large distances)
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