dorsal/arxiv
View SchemaGauge-Invariant Formulation of Adiabatic Self-Consistent Collective Coordinate Method
| Authors | Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo, Kenichi Matsuyanagi |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0701004 |
| URL | https://arxiv.org/abs/nucl-th/0701004 |
| DOI | 10.1143/PTP.117.451 |
| Journal | Prog. Theor. Phys.117:451-478, 2007 |
Abstract
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.
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"abstract": "The adiabatic self-consistent collective coordinate (ASCC) method is a\npractical microscopic theory of large-amplitude collective motions in nuclei\nwith superfluidity. We show that its basic equations are invariant against\ntransformations involving the gauge angle in the particle-number space. By\nvirtue of this invariance, a clean separation between the large-amplitude\ncollective motion and the pairing rotational motion can be achieved, enabling\nus to restore the particle-number symmetry broken by the\nHartree-Fock-Bogoliubov (HFB) approximation. We formulate the ASCC method\nexplicitly in a gauge-invariant form. In solving the ASCC equations, it is\nnecessary to fix the gauge. Applying this new formulation to the multi-O(4)\nmodel, we compare different gauge-fixing procedures and demonstrate that\ncalculations using different gauges indeed yield the same results for\ngauge-invariant quantities, such as the collective path and quantum spectra. We\nsuggest a gauge-fixing prescription that seems most convenient in realistic\ncalculations.",
"arxiv_id": "nucl-th/0701004",
"authors": [
"Nobuo Hinohara",
"Takashi Nakatsukasa",
"Masayuki Matsuo",
"Kenichi Matsuyanagi"
],
"categories": [
"nucl-th"
],
"doi": "10.1143/PTP.117.451",
"journal_ref": "Prog. Theor. Phys.117:451-478, 2007",
"title": "Gauge-Invariant Formulation of Adiabatic Self-Consistent Collective Coordinate Method",
"url": "https://arxiv.org/abs/nucl-th/0701004"
},
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