Algebraic approach to non-leptonic weak interactions and its interpretation through quark-line diagrams

Possible correspondence between the constraint sum rules for the asymptotic single-hadron matrix elements of weak Hamiltonian Hw, obtained through the realization of chiral algebras involving Hw, and the quark-line diagrams is studied. It is seen that the asymptotic |ΔI-bar| = 1/2 rule and its charm counterpart obtained for the meson matrix elements can correspond to the same type of particular quark-line diagrams which do not involve quark loop contributions. In contrast, the derived asymptotic |ΔI-bar| = 1/2 rule for the single-particle baryon matrix elements of Hw may be realized through an effective s → d transition induced through the catalysis of sea quarks. (author)