Finite amplitude method for the solution of the random-phase approximation

2007/03/30 by Takashi Nakatsukasa, Tsunenori Inakura, Kazuhiro Yabana · 6 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.76.024318

published as Phys.Rev.C76:024318,2007 · 12 pages, 3 figures

arxiv created 2007/03/30 · openalex publication_date 2007/08/27 · arxiv updated 2010/11/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We propose a practical method for solving the random-phase approximation (RPA) in the self-consistent Hartree-Fock (HF) and density-functional theory. The method is based on numerical evaluation of the residual interactions utilizing the finite amplitude of single-particle wave functions. The method only requires calculations of the single-particle Hamiltonian constructed with independent bra and ket states. Using the present method, the RPA calculation becomes possible with a little extension of a numerical code of the static HF calculation. We demonstrate the usefulness and accuracy of the present method by performing test calculations for isoscalar responses in deformed ²⁰Ne.

Citations

• Isoscalar giant dipole resonance and nuclear matter incompressibility coefficient
• Self-consistent mean-field models for nuclear structure
• 3D Real-Space Calculation of the Continuum Response

Cited by

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• Thouless-Valatin rotational moment of inertia from linear response theory
• Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations
• Self-consistent calculation of nuclear photoabsorption cross sections: Finite amplitude method with Skyrme functionals in the three-dimensional real space
• Efficient calculation for the quasiparticle random-phase approximation matrix
• 3D mesh calculations for covariant density functional theory