An analysis of channel wave functions is made to clarify the types of resonance emergingfrom the Ps-Ps andPs-Ps* collisions. The ordering of the energy levels of the states of the dipositronium is evaluated based on theinherent nodal structures of wave functions and on the existing theoretical results. The existence of a few veryprobable low-lying narrower resonances, namely the 0+1 (A2), 1-1-(E), ..., benefiting from the centrifugal barrierhas been suggested.