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.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Drell–Hearn–Gerasimov sum rule canonical | 1 |
| Gerasimov–Drell–Hearn sum rule | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6055519 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Drell–Hearn–Gerasimov sum rule Context triple: [Sidney Drell, notableWork, Drell–Hearn–Gerasimov sum rule]
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A.
Gell-Mann–Okubo mass formula
The Gell-Mann–Okubo mass formula is a relation in particle physics that predicts the mass patterns of hadrons within SU(3) flavor symmetry multiplets, providing quantitative support for the quark model and the Eightfold Way classification.
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B.
Gell-Mann–Nishijima formula
The Gell-Mann–Nishijima formula is a key relation in particle physics that connects a particle’s electric charge to its isospin and hypercharge, helping classify hadrons within the quark model.
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C.
Gell-Mann–Low theorem
The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
-
D.
Bethe–Salpeter equation
The Bethe–Salpeter equation is a relativistic quantum field theory equation that describes bound states of two interacting particles, such as electron–hole pairs in quantum electrodynamics.
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E.
Drell–Yan processes
Drell–Yan processes are high-energy particle interactions in which a quark and an antiquark from colliding hadrons annihilate to produce a lepton–antilepton pair, providing a key probe of hadron structure and parton distributions.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Drell–Hearn–Gerasimov sum rule Target entity description: 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.
-
A.
Gell-Mann–Okubo mass formula
The Gell-Mann–Okubo mass formula is a relation in particle physics that predicts the mass patterns of hadrons within SU(3) flavor symmetry multiplets, providing quantitative support for the quark model and the Eightfold Way classification.
-
B.
Gell-Mann–Nishijima formula
The Gell-Mann–Nishijima formula is a key relation in particle physics that connects a particle’s electric charge to its isospin and hypercharge, helping classify hadrons within the quark model.
-
C.
Gell-Mann–Low theorem
The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
-
D.
Bethe–Salpeter equation
The Bethe–Salpeter equation is a relativistic quantum field theory equation that describes bound states of two interacting particles, such as electron–hole pairs in quantum electrodynamics.
-
E.
Drell–Yan processes
Drell–Yan processes are high-energy particle interactions in which a quark and an antiquark from colliding hadrons annihilate to produce a lepton–antilepton pair, providing a key probe of hadron structure and parton distributions.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
physical law
ⓘ
relation in quantum field theory ⓘ sum rule ⓘ |
| alternativeName |
Gerasimov–Drell–Hearn sum rule
ⓘ
linked to:
Drell–Hearn–Gerasimov sum rule
|
| 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
ⓘ
Burkhardt–Cottingham sum rule ⓘ |
| isTestedAt |
ELSA accelerator
ⓘ
JLab (Jefferson Lab) ⓘ
linked to:
Jefferson Lab
MAMI accelerator ⓘ |
| namedAfter |
Alan C. Hearn
ⓘ
Sergei B. Gerasimov ⓘ Sidney Drell ⓘ |
| 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 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Drell–Hearn–Gerasimov sum rule Description of subject: 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.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Drell–Hearn–Gerasimov sum rule