phenomenon 102.1 Hadron masses obey an octet mass formula
open in the book ·
parts/11-qft-standard-model/04-qcd.tex:116
· p. 1990
- phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt
Rests on
- depends_on equation 14.70 eq:lie-su3-d-values ¶
- depends_on equation 14.69 eq:lie-su3-f-values ¶
-
depends_on
theorem 5.158
Schur's first lemma
¶
-
depends_on
definition 5.37
Linear transformation
¶
-
depends_on
definition 4.33
Vector space
¶
-
depends_on
definition 4.8
Commutativity; abelian structure
¶
- depends_on definition 4.4 Internal binary operation; magma ¶
- depends_on definition 4.32 Field ¶
- depends_on definition 4.31 Module ¶
-
depends_on
definition 4.8
Commutativity; abelian structure
¶
-
depends_on
definition 4.33
Vector space
¶
-
depends_on
definition 5.147
Invariant subspace
¶
-
depends_on
definition 5.7
Vector subspace
¶
-
depends_on
definition 5.5
Linear combination
¶
- depends_on definition 4.33 Vector space ¶ ↺
-
depends_on
definition 5.5
Linear combination
¶
-
depends_on
definition 5.141
Representation of a group
¶
- depends_on definition 4.21 Group ¶ ↺
- depends_on definition 4.43 Group homomorphism ¶
-
depends_on
definition 4.48
Symmetric group
¶
- depends_on definition 3.47 Bijective map ¶
-
depends_on
definition 5.7
Vector subspace
¶
-
depends_on
definition 5.148
Irreducible representation
¶
- depends_on definition 5.147 Invariant subspace ¶ ↺
- proves proof ch:03-linear-algebra-representations@proof-67 ¶
-
depends_on
definition 5.37
Linear transformation
¶
- proves proof ch:04-qcd@proof-1 ¶
Supports
Nothing declares a dependency on this node yet.
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | THE EIGHTFOLD WAY: A THEORY OF STRONG INTERACTION SYMMETRY | derived | parts/11-qft-standard-model/04-qcd.tex:121 |
cites |
→ | Note on Unitary Symmetry in Strong Interactions | derived | parts/11-qft-standard-model/04-qcd.tex:121 |
depends_on |
→ | eq:lie-su3-d-values | declared | parts/11-qft-standard-model/04-qcd.tex:128 |
depends_on |
→ | eq:lie-su3-f-values | declared | parts/11-qft-standard-model/04-qcd.tex:128 |
depends_on |
→ | Schur's first lemma | declared | parts/11-qft-standard-model/04-qcd.tex:128 |
proves |
← | ch:04-qcd@proof-1 | declared | parts/11-qft-standard-model/04-qcd.tex:131 |