The Drell-Hearn-Gerasimov Sum Rule

Abstract

The Drell-Hearn-Gerasimov (DHG) sum rule relates the helicity structure of the photoabsorption cross section to the anomalous magnetic moment of the nucleon. It is based on Lorentz and gauge invariance, crossing symmetry, causality and unitarity. A generalized DHG sum rule my be derived for virtual photons. At low momentum transfer this generalized sum rule is saturated by the resonance region, at high momentum transfer it may be expressed by the parton spin distributions measured in deep inelastic scattering. The longitudinal-transverse interference determines the Cottingham sum rule, which is related to the electric and magnetic form factors over the whole range of momentum transfer.

20 pages LATEX plus 12 figures (available by fax from the author)

Cited by in corpus (26)

• The Spin Structure of the Nucleon
• Vector meson production and nucleon resonance analysis in a coupled-channel approach for energies m_N < sqrt(s) < 2 GeV II: photon-induced results
• The GDH Sum Rule and Related Integrals
• Compton Scattering and the Spin Structure of the Nucleon at Low Energies
• Delta(1232) and the Polarizabilities of the Nucleon
• Spin-Dependent Twist-Four Matrix Elements from g_1 Data in the Resonance Region
• Searching for signatures around 1920 MeV of a $N^{\ast }$ state of three hadron nature
• On the Extraction of the Neutron Spin Structure Functions and the Gerasimov -- Drell -- Hearn Integral from ${}^3\overrightarrow{He}(\vec{e},e^{\prime })X$ data
• Study of polarization observables in double pion photoproduction on the proton
• Final state interaction in spin asymmetry and GDH sum rule for incoherent pion production on the deuteron
• Spin-dependent twist-4 matrix elements from the instanton vacuum: Flavor-singlet and nonsinglet
• Effects Of The Quantity ${\sigma }_{TS}$ On The Spin Structure Functions Of Nucleons In The Resonance Region
• The Gerasimov-Drell-Hearn sum rule and the single-pion photoproduction multipole E0+ close to threshold
• Higher twist analysis of the proton g_1 structure function
• The Generalized Gerasimov-Drell-Hearn Integral and the Spin Structure of the Nucleon
• The Neutron Spin Structure Function from the Deuteron Data in the Resonance Region
• Kaon photoproduction on the nucleon: Contributions of kaon-hyperon final states to the magnetic moment of the nucleon
• Constraints on the time-scale of nuclear breakup from thermal hard-photon emission
• Generalized sum rules of the nucleon in the constituent quark model
• $Q^2$--Dependence of the Gerasimov-Drell-Hearn Sum Rule
• Generalized polarizabilities and electroexcitation of the nucleon
• Sea polarisation and the Drell-Hearn-Gerasimov sum-rule(s)
• Photo-production of Nucleon Resonances and Nucleon Spin Structure Function in the Resonance Region
• The nucleon Drell-Hearn-Gerasimov sum rule within a relativistic constituent quark model
• Polarization Phenomena in Small-Angle Photoproduction of e+e- Pairs and the Gerasimov-Drell-Hearn Sum Rule
• Three body systems with strangeness and exotic systems