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

Shuichiro Ebata, Takashi Nakatsukasa, Tsunenori Inakura, Kenichi Yoshida, Yukio Hashimoto, and Kazuhiro Yabana
Phys. Rev. C 82, 034306 – Published 9 September 2010
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Abstract

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.

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  • Received 6 July 2010

DOI:https://doi.org/10.1103/PhysRevC.82.034306

©2010 American Physical Society

Synopsis

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Time-saving steps

Published 27 September 2010

A new calculation scheme speeds up the solution of problems involving interactions between nuclei and giant resonance phenomena.

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Authors & Affiliations

Shuichiro Ebata1,2, Takashi Nakatsukasa1,3, Tsunenori Inakura1, Kenichi Yoshida1, Yukio Hashimoto2,3, and Kazuhiro Yabana1,2,3

  • 1RIKEN Nishina Center, Wako-shi 351-0198, Japan
  • 2Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba 305-8571, Japan
  • 3Center for Computational Sciences, University of Tsukuba, Tsukuba 305-8571, Japan

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Issue

Vol. 82, Iss. 3 — September 2010

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