Gauge-Invariant Formulation of the Adiabatic Self-Consistent Collective Coordinate Method(Nuclear Physics)

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概要

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• The adiabatic self-consistent collective coordinate (ASCC) method is a practical microscopic theory of large-amplitude collective motion in nuclei with superfluidity. We show that its basic equations are invariant under transformations involving the gauge angle in particle-number space. By virtue of this invariance, a clean separation of the large-amplitude collective motion and the pairing rotational motion can be made, and this allows us to restore the particle-number symmetry broken by the Hartree-Fock-Bogoliubov (HFB) approximation. We formulate the ASCC method explicitly in a gauge-invariant form. In solving the ASCC equations, it is necessary to fix the gauge. Applying this new formulation to the multi-O(4) model, we compare different gauge-fixing procedures and demonstrate that calculations using different gauges indeed yield the same results for gauge-invariant quantities, such as the collective path and quantum spectra. We propose a gauge-fixing prescription that seems most convenient in realistic calculations.

• 理論物理学刊行会の論文
• 2007-03-25

著者

• HINOHARA Nobuo

  Theoretical Nuclear Physics Laboratory, RIKEN Nishina Center

• NAKATSUKASA Takashi

  Theoretical Nuclear Physics Laboratory, RIKEN Nishina Center

• MATSUO Masayuki

  Department of Physics, Niigata University

• 松柳 研一

  理研仁科セ

• 松柳 研一

  Theoretical Nuclear Physics Laboratory Riken Nishina Center:yukawa Institute For Theoretical Physics

• 松柳 研一

  京都大学大学院理学研究科

• Hlnohara Nobuo

  Theoretical Nuclear Physics Laboratory Riken Nishina Center

• Nakatsukasa Takashi

  Institute of Physics & Center for Computational Sciences, University of Tsukuba

• NAKATSUKASA Takashi

  Physics Department, Tohoku University

• Matsuo M

  Department Of Physics Niigata University

• Matsuo Masayuki

  Department Of Physics Faculty Of Science Niigata University

• HINOHARA Nobuo

  Department of Physics, Graduate School of Science, Kyoto University

• MATSUYANAGI Kenichi

  Department of Physics, Graduate School of Science, Kyoto University

• Matsuyanagi Kenichi

  Theoretical Nuclear Physics Laboratory Riken Nishina Center

• Matsuyanagi Kenichi

  Department Of Physics Graduate School Of Science Kyoto University

• Nakatsukasa Takashi

  Theoretical Nuclear Physics Laboratory Riken Nishina Center

• Nakatsukasa T

  Physics Department Tohoku University

• Matsuo Masayuki

  Department Of Materials Science Nagoya Institute Of Technology

• HINOHARA Nobuo

  Department of Physics and Astronomy, University of North Carolina:Theoretical Nuclear Physics Laboratory, RIKEN Nishina Center

• MATSUYANAGI Kenichi

  Department of Physics, Kyoto University

• NAKATSUKASA Takashi

  Institute of Physics and Center for Computational Science, University of Tsukuba

• HINOHARA Nobuo

  Department of Physics and Astronomy, University of North Carolina

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