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Prog. Theor. Phys. Vol. 117 No. 3 (2007) pp. 451-478

[ Full Text PDF : FREE ACCESS (1023K) ]

Gauge-Invariant Formulation of the Adiabatic Self-Consistent Collective Coordinate Method

Nobuo Hinohara,1 Takashi Nakatsukasa,2 Masayuki Matsuo3 and Kenichi Matsuyanagi1

1Department of Physics, Graduate School of Science,
Kyoto University, Kyoto 606-8502, Japan
2Institute of Physics and Center for Computational Sciences,
University of Tsukuba, Tsukuba 305-8571, Japan
3Department of Physics, Faculty of Science,
Niigata University, Niigata 950-2181, Japan

(Received December 27, 2006)

Abstract:

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.


URL : http://ptp.ipap.jp/link?PTP/117/451/
DOI : 10.1143/PTP.117.451

[ Full Text PDF : FREE ACCESS (1023K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 119 No. 1 (2008) pp. 59-101 :
    Microscopic Derivation of Collective Hamiltonian by Means of the Adiabatic Self-Consistent Collective Coordinate Method
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  2. Progress of Theoretical Physics Vol. 123 No. 1 (2010) pp. 129-155 :
    A Model Analysis of Triaxial Deformation Dynamics in Oblate-Prolate Shape Coexistence Phenomena
    Koichi Sato, Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi

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