Gell-Mann–Nishijima formula

E33750

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.


Statements (42)
Predicate Object
instanceOf physical law
relation in particle physics
alternativeForm Q = I3 + (B + S)/2
appliesTo baryons
hadrons
mesons
assumes isospin SU(2) symmetry
category conservation law relation
connects electric charge
hypercharge
isospin
field particle physics
framework hadron spectroscopy
generalizedIn flavor SU(3) symmetry
helpsExplain charge patterns of hadron multiplets
structure of isospin multiplets
historicalContext developed before full quark model
hyperchargeDefinition Y = B + S + C + B′ + T
implies quantization of electric charge in hadrons
includesQuantumNumber baryon number B
bottomness B′
charm C
strangeness S
topness T
mathematicalForm Q = I3 + Y/2
namedAfter Kazuhiko Nishijima
Murray Gell-Mann
relatedConcept electric charge
hypercharge
isospin
quark flavor quantum numbers
relatesQuantity electric charge Q
third component of isospin I3
weak hypercharge Y
status standard relation in the quark model
usedFor classification of hadrons
usedIn classification of baryon octet
classification of meson octet
quark model
usedToDetermine electric charge from quantum numbers
hypercharge from observed charges and isospin
validFor strongly interacting particles

Referenced by (1)
Subject (surface form when different) Predicate
Murray Gell-Mann
knownFor

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