phenomenon 102.9 The $\Delta^{++}$ violates the spin-statistics theorem

Rests on

• depends_on definition 102.5 Quarks ¶
• depends_on proposition 102.6 Mesons are $q\bar{q}$, baryons are $qqq$ ¶
  • depends_on definition 102.5 Quarks ¶ ↺
  • depends_on equation 14.81 eq:lie-su3-3x3bar ¶
  • depends_on theorem 14.57 $\vect{3}\otimes\bar{\vect{3}} = \vect{1}\oplus\vect{8}$ ¶
    • depends_on proposition 14.55 The fundamental, the antifundamental and the adjoint ¶
      • depends_on corollary 14.18 A Casimir acts as a number on an irreducible representation ¶
        • depends_on definition 14.8 Casimir element ¶
        • depends_on equation 14.6 eq:lie-expgen ¶
        • depends_on remark 14.6 What $U(\mathfrak{g})$ is for ¶
        • depends_on theorem 5.158 Schur's first lemma ¶
        • proves proof ch:12-lie-groups-fibre-bundles@proof-6 ¶
      • depends_on definition 14.51 Gell-Mann basis ¶
        • depends_on definition 14.49 The special unitary group in three dimensions ¶
      • depends_on proposition 14.53 Killing form of $\mathfrak{su}(3)$ ¶
        • depends_on definition 14.51 Gell-Mann basis ¶ ↺
        • depends_on equation 14.15 eq:lie-killing-components ¶
        • depends_on proposition 14.52 Structure constants and the symmetric tensor ¶
        • depends_on theorem 14.13 Cartan's criterion ¶
        • proves proof ch:12-lie-groups-fibre-bundles@proof-23 ¶
      • proves proof ch:12-lie-groups-fibre-bundles@proof-25 ¶
    • proves proof ch:12-lie-groups-fibre-bundles@proof-26 ¶
    • proves proof ch:12-lie-groups-fibre-bundles@prooflink-6 ¶
  • proves proof ch:04-qcd@proof-3 ¶

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