Global anharmonic vibrator behaviour of one-quasiparticle structures in odd-A nuclei and the IBFA model

We show that the anharmonic vibrator behaviour recently discovered both for the yrast states of the collective non-rotational even-even nuclei and for the unique parity orbital structures in their odd-A neighbours is also obeyed by all the other one-quasiparticle structures in the odd-mass nuclei. One-shell Interacting Boson-Fermion Model calculations with parameters randomly distributed within the model parameter space reproduce in a natural way the observed empirical anharmonic vibrator behaviour.