SU(4) Multiplet Mixing

Abstract

The consequences of mixing between SU(4) multiplets of the same $J$, $P$, and $C$ are examined. Within the proposed theoretical framework, the presently available data indicate that there should be substantial mixing between the pseudoscalar multiplets ($P$ and $P^{\prime }$) while the vector multiples ($V$ and $V^{\prime }$ containing $\psi$ and ${\psi }^{\prime }$) remain largely unmixed. The ratio $\frac{F_P}{F_{P^{\prime }}}\sim 2$ of the pseudoscalar decay constant leads to the suppression of the decays $\psi \to {\eta }_c\gamma$ and ${\psi }^{\prime }\to {\eta }_c\gamma$.