Spin and unitary spin independence in SU(8) symmetry

Abstract

Theory of SU(8) symmetry model in the spin and unitary spin independence for elementary particles is developed. The classification of the meson and baryon states in the subgroup SU(4) ⊗ SU(2) is discussed and a possible assignment to the observed states is given. The assignment given here will be verified when we observe the doubly charged mesons and triply charged baryon etc. The mass differences and various decay rates of mesons with both odd and even parity are calculated and compared with the available information. The sizes of the anomalous magnetic moments of quartets must be identical. The result of our theory is compared with Su(4) and SU(6) predictions. The detailed measurement of the suggested radiative decay rates of known mesons will distinguish the validity between SU(6) and SU(8) theory. The “charm-changing” weak current is introduced into the weak interaction in conformity with the Cabibbo current. The strength of the additional weak current thus introduced can be determined as to explain the apparent discrepancy between the muon and the neutron beta-decay coupling constant.