Octet behaviour of single-particle matrix elements 〈B′|Hw|B〉 and 〈M′|Hw|M〉 using a weak current-current quark Hamiltonian

The SU(3) transformation behaviour of single-particle matrix elements 〈B′|Hw(0)|B〉 and 〈M′|Hw(0)|M〉 is investigated under the assumption that the transitions are induced by a weak current-current type quark Hamiltonian. The baryons B and mesons M are taken to be members of the 56 and 35 multiplets, respectively. For Fermi quarks the baryon matrix elements vanish identically and the meson matrix elements transform as octets. For para quarks and in the three-triplet model the baryon matrix elements transform as octets, whereas the meson matrix elements have a strong 27 component. A slightly modified Hamiltonian is introduced which induces octet transitions for both mesons and baryons.