Canonical-basis time-dependent Hartree-Fock-Bogoliubov theory and linear-response calculations

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.034306· OSTI ID:21419514

Ebata, Shuichiro ^[1]; Nakatsukasa, Takashi ^[1]; Inakura, Tsunenori; Yoshida, Kenichi ^[1]; Hashimoto, Yukio ^[2]; Yabana, Kazuhiro ^[1]

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1. RIKEN Nishina Center, Wako-shi 351-0198 (Japan)
2. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba 305-8571 (Japan)

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.

• OSTI ID: 21419514
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevC.82.034306; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
DISTRIBUTION
E1-TRANSITIONS
EVEN-EVEN NUCLEI
FUNCTIONALS
HARTREE-FOCK-BOGOLYUBOV THEORY
LIGHT NUCLEI
MAGNESIUM ISOTOPES
NEON ISOTOPES
NEUTRONS
RANDOM PHASE APPROXIMATION
SIMULATION
SKYRME POTENTIAL
TIME DEPENDENCE
ALKALINE EARTH ISOTOPES
APPROXIMATIONS
BARYONS
CALCULATION METHODS
ELEMENTARY PARTICLES
ENERGY
ENERGY-LEVEL TRANSITIONS
FERMIONS
FUNCTIONS
HADRONS
ISOTOPES
MULTIPOLE TRANSITIONS
NUCLEI
NUCLEON-NUCLEON POTENTIAL
NUCLEONS
POTENTIALS