  We expect that $BR(\chi_{c2}(2P)\to gluon\, gluon)\gtrsim 2 \%$ if Particle
Data Group as well as BaBar and Belle collaboration correctly identified the
state. In reality, this branching ratio corresponds to the one for
$\chi_{c2}(2P)$ decaying to the light hadrons. We also discuss the detection
possibilities of these decays.
