Decays of particles with exotic quantum numbers

Abstract

The most convincing place to find a glueball would be in a channel with exotic quantum numbers (${J}^{\mathrm{PC}}={0}^{\ensuremath{-}\ensuremath{-}}$, ${\mathrm{even}}^{+\ensuremath{-}}$, ${\mathrm{odd}}^{\ensuremath{-}+}$). We enumerate the allowed and forbidden few-body decay modes of such exotic mesons. In the particular case of the ${0}^{+\ensuremath{-}}$, the set of allowed few-body decay modes is itself a unique signature. For other ${J}^{\mathrm{PC}}$ values the signature depends on some-what more detailed characteristics of the allowed decays, which we enumerate.