Goldberger–Treiman relation
E601754
The Goldberger–Treiman relation is a fundamental result in particle physics that links the strong pion–nucleon coupling constant to the axial-vector coupling of the nucleon and the pion decay constant, illuminating the role of chiral symmetry in low-energy hadron interactions.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
physical law
ⓘ
relation in particle physics ⓘ |
| appliesTo |
low-energy hadron interactions
ⓘ
pion–nucleon interactions ⓘ |
| approximateAccuracy | few percent in real QCD ⓘ |
| approximateForm | g_A m_N ≈ g_{πNN} F_π ⓘ |
| associatedWithConcept | PCAC NERFINISHED ⓘ |
| associatedWithSymmetry |
chiral symmetry
ⓘ
partially conserved axial current ⓘ |
| category | theoretical result in quantum chromodynamics ⓘ |
| connects |
axial-vector coupling constant of the nucleon
ⓘ
pion decay constant ⓘ pion–nucleon coupling constant ⓘ |
| derivedInFramework | chiral SU(2) × SU(2) symmetry ⓘ |
| derivedUsing |
PCAC hypothesis
NERFINISHED
ⓘ
current algebra ⓘ |
| describes | connection between weak axial properties and strong interactions ⓘ |
| field |
chiral perturbation theory
ⓘ
hadron physics ⓘ nuclear physics ⓘ particle physics ⓘ quantum field theory ⓘ |
| implies | g_{πNN} ≈ g_A m_N / F_π ⓘ |
| involvesInteraction |
strong interaction
ⓘ
weak axial-vector interaction ⓘ |
| involvesParticle |
nucleon
ⓘ
pion NERFINISHED ⓘ |
| predicts | numerical value of g_{πNN} from weak interaction data ⓘ |
| proposedBy |
Marvin L. Goldberger
NERFINISHED
ⓘ
Sam B. Treiman NERFINISHED ⓘ |
| relatedTo |
Adler–Weisberger sum rule
NERFINISHED
ⓘ
chiral Ward identities ⓘ |
| relatesQuantity |
F_π
ⓘ
g_A ⓘ g_{πNN} ⓘ nucleon mass ⓘ |
| role |
constrains pion–nucleon coupling constant
ⓘ
tests consistency of chiral symmetry in nucleon sector ⓘ |
| subjectTo | Goldberger–Treiman discrepancy NERFINISHED ⓘ |
| usedIn |
low-energy effective theories of QCD
ⓘ
phenomenological models of nucleon structure ⓘ |
| usesParameter |
axial charge of the nucleon
ⓘ
nucleon mass m_N ≈ 940 MeV ⓘ pion decay constant F_π ≈ 92 MeV ⓘ |
| validInLimit |
chiral limit
ⓘ
zero pion mass limit ⓘ |
| yearProposed | 1958 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.