Linear response theory in the continuum for deformed nuclei: Green's function vs time-dependent Hartree-Fock with the absorbing boundary condition

Abstract

The continuum random-phase approximation is extended to the one applicable to deformed nuclei. We propose two different approaches. One is based on the use of the three-dimensional (3D) Green's function, and the other is the small-amplitude TDHF with the absorbing boundary condition. Both methods are based on the 3D Cartesian grid representation and applicable to systems with no symmetry on nuclear shape. The accuracy and identity of these two methods are examined with the BKN interaction. Using the full Skyrme energy functional in the small-amplitude TDHF approach, we study the isovector giant dipole states in the continuum for $^{16}\mathrm{O}$ and for even-even Be isotopes.