Generalized Gerasimov-Drell-Hearn Sum Rule for the Proton-Neutron Difference in Chiral Perturbation Theory

Abstract

Applications of the chiral expansion to generalize the Gerasimov-Drell-Hearn sum rule for finite $Q^2$ are discussed. The observation of several authors that the corrections to the leading order contributions are large and limit the applicability to a very small range in $Q^2$, are valid when considering the sum rule for protons and neutrons, separately. When using the proton-neutron difference, the chiral expansion may be valid to considerably higher momentum transfers where hadronic degrees of freedom at large distances may connect up with quark and gluon degrees of freedom. This could mark the first time that nucleon structure is decribed by fundamental theory from large to small distances.

5 pages, 2 figures, some textual changes, one figure added

References in corpus (2)

• Generalized Sum Rules for Spin-Dependent Structure Functions of the Nucleon
• Generalized Drell-Hearn-Gerasimov Sum Rule at Order {\cal O}(p^4) in Chiral Perturbation Theory

Cited by in corpus (25)

• Chiral Perturbation Theory and Baryon Properties
• The QCD Running Coupling
• Dispersion relations in real and virtual Compton scattering
• Spin Structure of the Nucleon - Status and Recent Results
• The Spin Structure of the Nucleon
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• Experimental determination of the evolution of the Bjorken integral at low Q^2
• Spin structure of the nucleon at low energies
• Experimental study of isovector spin sum rules
• High precision determination of the $Q^2$-evolution of the Bjorken Sum
• QCD Running Couplings and Effective Charges
• Burkhardt-Cottingham sum rule and forward spin polarizabilities in Heavy Baryon Chiral Perturbation Theory
• Novel analysis of chiral loop effects in the generalized Gerasimov-Drell-Hearn sum rule
• Hadron structure at low Q^2
• The Gerasimov-Drell-Hearn Sum Rule and the Spin Structure of the Nucleon
• Bjorken polarized sum rule and infrared-safe QCD couplings
• Sum Rules and Moments of the Nucleon Spin Structure Functions
• Measurement of the Bjorken Sum at very low $Q^2$
• Moments of Spin Structure Functions: Sum Rules and Polarizabilities
• Measurement of the Q^2-evolution of the Bjorken integral and extraction of an effective strong coupling constant at low Q^2
• Spin Response of the Nucleon in the Resonance Region
• Photo-production of Nucleon Resonances and Nucleon Spin Structure Function in the Resonance Region
• Highlights of Recent Results with Clas
• Measurement of the nucleon spin structure functions for 0.01<$Q^2$<1 GeV${}^2$ using CLAS
• Study of spin sum rules (and the strong coupling constant at large distances)