2010/07/05 by Shuichiro Ebata, Takashi Nakatsukasa, Tsunenori Inakura +3 · 3 citations
Mathematics · Physics and Astronomy · #Astronomical and nuclear sciences #Basis (linear algebra) #Diagonal #Hartree–Fock method #Mathematics #Neutron #Nuclear Physics and Applications #Nuclear physics research studies #Pairing #Physics #Quantum mechanics #Random phase approximation #Simple (philosophy) #Statistical physics #nucl-th
paper · pdf · doi:10.1103/physrevc.82.034306
published as Phys.Rev.C82:034306,2010
arxiv created 2010/07/05 · openalex publication_date 2010/09/09 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present simple equations for a canonical-basis (Cb) formulation of the time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory. The equations are obtained from the TDHFB theory with an approximation that the pair potential is assumed to be diagonal in the Cb. The Cb formulation significantly reduces the computational cost. We apply the method to linear-response calculations for even-even light nuclei and demonstrate its capability and accuracy by comparing our results with recent calculations of the quasiparticle random-phase approximation with Skyrme functionals. We show systematic studies of E1 strength distributions for Ne and Mg isotopes. The evolution of the low-lying pygmy strength seems to be determined by the interplay of several factors, which include the neutron excess, the separation energy, the neutron-shell effects, the deformation, and the pairing.