The core theory presented is Isospin Symmetry and Flavor SU(3) Invariance within Quantum Chromodynamics (QCD), which posits that strong interactions treat quarks with different electric charges or strange quantum numbers as indistinguishable states of a single entity. This mechanism relies on the mathematical framework where hadron multiplets are classified by irreducible representations of Lie groups, specifically SU(2) for isospin and SU(3) for flavor symmetry. The domain of particle physics utilizes these group-theoretic principles to derive selection rules for strong decays and predict the quantum number relationships among baryon octets (8), singlets (1), and decuplet representations based on quark-antiquark or multi-quark wave function compositions.
The core theory presented is Isospin Symmetry and Flavor SU(3) Invariance within Quantum Chromodynamics (QCD), which posits that strong interactions treat quarks with different electric charges or st…