For an initial pion-nucleon state and outgoing meson octet-baryon octet pair, conservation of baryon number and strangeness allows , , , and , subject to electric charge and production thresholds. Total isospin is or ; the and channels contain only .
Quark model 2026-10-06
Ordinary baryons have three valence quarks, and ordinary mesons have a quark and an antiquark. Additive quantum numbers such as electric charge, baryon number and strangeness are sums of constituent values. This valence description organizes flavor symmetry multiplets while allowing sea constituents and gluons.
U-spin 2026-10-06
The flavor symmetry rotating down and strange quarks, with the up quark a singlet. Since down and strange quarks have equal electric charge, the charge operator commutes with all U-spin generators, and every irreducible U-spin multiplet has a common charge. Unequal down- and strange-quark masses break this symmetry.
Weak isospin 2026-10-07
Weak isospin labels representations of the SU(2) factor in the electroweak gauge group. A left-handed lepton doublet has with third-component eigenvalues ; a right-handed charged-lepton singlet has . Along with electric charge, the third component determines the weak neutral current through .