Efficient calculation for the quasiparticle random-phase approximation matrix

2013/01/10 by P. Avogadro, Paolo Avogadro, Takashi Nakatsukasa
Computer Science · Mathematics · Physics and Astronomy · #Eigenvalues and eigenvectors #Electromagnetic Scattering and Analysis #Materials science #Mathematical Approximation and Integration #Mathematics #Matrix (chemical analysis) #Matrix Theory and Algorithms #Phase (matter) #Physics #Quantum mechanics #Quasiparticle #Random matrix #Random phase approximation #Statistical physics #nucl-th

paper · pdf · doi:10.1103/physrevc.87.014331

published as Phys. Rev. C 87, 014331 (2013) · 18 pages, 2 figures

arxiv created 2013/01/10 · openalex publication_date 2013/01/22 · arxiv updated 2013/02/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present an efficient numerical technique to evaluate the matrix of the (quasiparticle-) random-phase approximation, using the finite-amplitude method (FAM). The method is tested in calculation of monopole excitations in ¹²⁰Sn, compared with result obtained with the former iterative FAM. The neutron-pair-transfer modes are calculated with the present method and their character change in neutron-rich Pb isotopes is discussed. Computational aspects of different FAM approaches are also discussed for future applications to a large-scale computation.

Citations

• Finite amplitude method for the solution of the random-phase approximation
• Self-consistent Skyrme quasiparticle random-phase approximation for use in axially symmetric nuclei of arbitrary mass
• Dipole responses in Nd and Sm isotopes with shape transitions
• Shape mixing dynamics in the low-lying states of proton-rich Kr isotopes
• Self-consistent calculation of nuclear photoabsorption cross sections: Finite amplitude method with Skyrme functionals in the three-dimensional real space