The phenomenon of trapping of states is studied in the case of high-lying s
tates with large angular momentum in the odd-A nucleus Pb-209. The interact
ion of the single-particle mode with more complex states is calculated in t
he framework of the quasiparticle-phonon model while the coupling to the co
ntinuum is included by means of the projection operator method. The results
obtained show a reduction of the spreading of the single-particle strength
under the influence of the coupling to the continuum: the strength is conc
entrated on a few collective states while the remaining states are decouple
d from the continuum (trapped). The results are compared with the case wher
e continuum coupling is switched off. The influence of the continuum on the
nuclear structure should be visible ill nucleon transfer reactions. [S0556
-2813(99)01812-9].