Recent experimental work has shown that under relatively high density condi
tions, selected PAH cations associate efficiently with H atoms to form prot
onated PAH ions. If such association reactions occur efficiently under low
density conditions, the protonated PAH ions can be considered as candidate
molecular species in diffuse interstellar clouds. The high density and low
density processes are not the same, however, since at:high density associat
ion proceeds by collisional stabilization while at low density it proceeds
by radiative stabilization. In this paper, we show: using theoretical techn
iques that for the cation C6H6+, the laboratory results do not prove that t
he association with H is efficient at low densities, whereas for C10H8+ and
most probably larger PAH cations, the radiative association with H is very
efficient. For these latter cations, the competitive Ii-atom transfer chan
nels (e.g. H + C10H8+ --> C10H7+ + H-2), which can lead to catalytic format
ion of Hz by regeneration of the PAN cations, are probably not important.