Drell–Hearn–Gerasimov sum rule
E564133
The Drell–Hearn–Gerasimov sum rule is a fundamental relation in quantum field theory and nuclear physics that connects a particle’s anomalous magnetic moment to an energy-weighted integral over its spin-dependent photoabsorption cross sections.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
physical law
ⓘ
relation in quantum field theory ⓘ sum rule ⓘ |
| alternativeName | Gerasimov–Drell–Hearn sum rule NERFINISHED ⓘ |
| appliesTo |
electromagnetic interactions
ⓘ
neutron ⓘ nucleons ⓘ proton ⓘ spin-1/2 particles ⓘ |
| assumes |
absence of subtractions in the relevant dispersion relation
ⓘ
analyticity of scattering amplitudes ⓘ |
| category |
nucleon structure
ⓘ
sum rules in quantum field theory ⓘ |
| concerns | forward spin-dependent Compton scattering amplitude ⓘ |
| connects |
anomalous magnetic moment of a particle
ⓘ
spin-dependent photoabsorption cross sections ⓘ |
| dependsOn | anomalous magnetic moment squared ⓘ |
| describes | link between static electromagnetic properties and dynamical photoabsorption processes ⓘ |
| energyIntegrationRange | photon energy from threshold to infinity ⓘ |
| field |
hadronic physics
ⓘ
nuclear physics ⓘ quantum field theory ⓘ |
| involves |
difference of cross sections for parallel and antiparallel photon–target helicities
ⓘ
energy-weighted integral over photon energy ⓘ helicity-dependent photoabsorption cross sections ⓘ |
| isBasedOn |
Lorentz invariance
ⓘ
causality ⓘ dispersion relations ⓘ low-energy theorems for Compton scattering ⓘ unitarity ⓘ |
| isGeneralizedTo | generalized GDH sum rule at finite momentum transfer ⓘ |
| isRelatedTo |
Bjorken sum rule
NERFINISHED
ⓘ
Burkhardt–Cottingham sum rule NERFINISHED ⓘ |
| isTestedAt |
ELSA accelerator
NERFINISHED
ⓘ
JLab (Jefferson Lab) NERFINISHED ⓘ MAMI accelerator NERFINISHED ⓘ |
| namedAfter |
Alan C. Hearn
NERFINISHED
ⓘ
Sergei B. Gerasimov NERFINISHED ⓘ Sidney Drell NERFINISHED ⓘ |
| relates | anomalous magnetic moment to an energy-weighted integral over spin-dependent photoabsorption cross sections ⓘ |
| relatesTo | real photon absorption ⓘ |
| requires | knowledge of spin-dependent photoabsorption cross sections over a wide energy range ⓘ |
| tests |
consistency of quantum chromodynamics at low energies
ⓘ
spin structure of the nucleon ⓘ |
| usedFor |
determining constraints on nucleon resonance contributions
ⓘ
testing dispersion relation techniques in hadronic physics ⓘ |
| yearProposed | 1965 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.