$SU(3)$ Classification of $p$-Wave $\eta \pi$ and ${\eta }^{\prime }\pi$ Systems

S. U. Chung, E. Klempt, J. G. Körner

An exotic meson, the ${\pi }_1(1400)$ with $J^{PC}=1^{-+}$, has been seen to decay into a p-wave $\eta \pi$ system. If this decay conserves flavor SU(3), then it can be shown that this exotic…