2009/06/29 by Tsunenori Inakura, Takashi Nakatsukasa, Kazuhiro Yabana · 87 citations
Engineering · Physics and Astronomy · #Amplitude #Atomic orbital #Dipole #Nuclear Physics and Applications #Nuclear physics research studies #Nuclear reactor physics and engineering #Physics #Quantum electrodynamics #Quantum mechanics #Random phase approximation #Resonance (particle physics) #Space (punctuation) #nucl-th
paper · pdf · doi:10.1103/physrevc.80.044301
published in Physical Review C 80(4) (American Institute of Physics) · 11 pages, 10 figures
arxiv created 2009/06/29 · openalex publication_date 2009/10/01 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The finite amplitude method (FAM), which we have recently proposed [T. Nakatsukasa, T. Inakura, and K. Yabana, Phys. Rev. C 76, 024318 (2007)], significantly simplifies the fully self-consistent calculation of the random-phase approximation (RPA). This article presents a computational scheme of FAM suitable for systematic investigation and shows its performance for realistic Skyrme energy functionals. We adopt the mixed representation in which the forward and backward RPA amplitudes are represented by index of hole orbitals and of the spatial grid points for the three-dimensional real space. We solve a linear algebraic problem with a sparse non-Hermitian matrix, using an iterative method. We show results of the dipole response for selected spherical and deformed nuclei. The calculated peak energies of the giant dipole resonance well agree with experiments for heavy nuclei. However, they are systematically underestimated for light nuclei. We also discuss the width of the giant dipole resonance in the fully self-consistent RPA calculation.