Exclusive $\chi_c$ decays to multibody final states

Using a 3.08 million data sample obtained at the $\psi(2S)$ resonance collected by the CLEO detector, we measure exclusive hadronic decays of the P-wave spin-triplet charmonium states $\chi_{cJ} $, where $J=0,1,2 $, into multibody final states involving one or more neutral mesons. Such decay rates may provide some hint on the decay patterns of glueball states, and help to test perturbative QCD.