Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-01-02
Prog. Theor. Phys.117:451-478, 2007
Physics
Nuclear Physics
Nuclear Theory
27 pages, 7 figures, submitted to Prog. Theor. Phys
Scientific paper
10.1143/PTP.117.451
The adiabatic self-consistent collective coordinate (ASCC) method is a practical microscopic theory of large-amplitude collective motions in nuclei with superfluidity. We show that its basic equations are invariant against transformations involving the gauge angle in the particle-number space. By virtue of this invariance, a clean separation between the large-amplitude collective motion and the pairing rotational motion can be achieved, enabling 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 suggest a gauge-fixing prescription that seems most convenient in realistic calculations.
Hinohara Nobuo
Matsuo Masayuki
Matsuyanagi Kenichi
Nakatsukasa Takashi
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