Quasiparticle resonances in the BCS approach

We present a simple method for calculating the energies and the widths of quasiparticle resonant states in nuclei close to the driplines. The method is based on BCS equations written in the Berggren representation. In this representation the quasiparticle resonances are associated to the Gamow states of the mean field. The method is illustrated for the case of neutron-rich nuclei 20–22O and 84Ni.