Quasiparticle Resonances in the BCS Approach

Abstract

We present a simple method for calculating the energies and the widths of quasiparticle resonant states. The method is based on BCS equations solved 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 ${}^{20-22}$O and ${}^{84}$Ni. It is shown that the contribution of the continuum coupling to the pairing correlations is small and largely dominated by a few resonant states close to the continuum threshold.

14 pages, 2 figures

References in corpus (3)

• Pairing and continuum effects in nuclei close to the drip line
• Pairing correlations and resonant states in the relativistic mean field theory
• Continuum HFB calculations with finite range pairing interactions

Cited by in corpus (7)

• Quasi-particle continuum and resonances in the Hartree-Fock-Bogoliubov theory
• Gamow-Hartree-Fock-Bogoliubov Method: Representation of quasiparticles with Berggren sets of wave functions
• Pairing in hot rotating nuclei
• Complex energy approaches for calculating isobaric analogue states
• Jost function based on the Hartree-Fock-Bogoliubov formalism
• On the solution of a pairing problem in the continuum
• Continuum discretized BCS approach for weakly bound nuclei