Particle-Unstable Nuclei in the Hartree-Fock Theory

Ground state energies and decay widths of particle-unstable nuclei are calculated within the Hartree-Fock approximation by performing a complex scaling of the many-body Hamiltonian. Because of this transformation, the wave functions of the resonant states are square integrable. The method is implemented with Skyrme effective interactions. Several Skyrme parametrizations are tested on four unstable nuclei: ${}^{10}$He, ${}^{12}$O, ${}^{26}$O, and ${}^{28}$O.