Resonances in the Hartree-Fock BCS theory

Resonance states are introduced into the Hartree-Fock BCS model using a complex scaling method in order to take into account the effect of pair scattering into continuum states. The applicability of the state-dependent BCS model based on bound and resonance states is checked at the proton drip-line region around the double magic nuclei ${}^{48}\mathrm{Ni}$ by comparing with Hartree-Fock-Bogoliubov calculations.