$ SU(3) $ Classification of $ p $-Wave $ ηπ$ and $ η'π$ Systems

Abstract

An exotic meson, the $π_1(1400)$ with $J^{PC}=1^{-+}$, has been seen to decay into a p-wave $ηπ$ system. If this decay conserves flavor SU(3), then it can be shown that this exotic meson must be a four-quark state ($q\bar q+q\bar q$) belonging to a flavor ${\bf10}\oplus{\bf\bar{10}}$ representation of SU(3). In contrast, the $π_1(1600)$ with a substantial decay mode into $η'π$ is likely to be a member of a flavor octet.

8 pages