dorsal/arxiv
View SchemaDiabatic and Adiabatic Collective Motion in a Model Pairing System
| Authors | Takashi Nakatsukasa, Niels R. Walet |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9710037 |
| URL | https://arxiv.org/abs/nucl-th/9710037 |
| DOI | 10.1103/PhysRevC.57.1192 |
| Journal | Phys.Rev.C57:1192-1203,1998 |
Abstract
Large amplitude collective motion is investigated for a model pairing Hamiltonian containing an avoided level crossing. A classical theory of collective motion for the adiabatic limit is applied utilising either a time-dependent mean-field theory or a direct parametrisation of the time-dependent Schr\"odinger equation. A modified local harmonic equation is formulated to take account of the Nambu-Goldstone mode. It turns out that in some cases the system selects a diabatic path. Requantizing the collective Hamiltonian, a reasonable agreement with an exact calculation for the low-lying levels are obtained for both weak and strong pairing force. This improves on results of the conventional Born-Oppenheimer approximation.
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"abstract": "Large amplitude collective motion is investigated for a model pairing\nHamiltonian containing an avoided level crossing. A classical theory of\ncollective motion for the adiabatic limit is applied utilising either a\ntime-dependent mean-field theory or a direct parametrisation of the\ntime-dependent Schr\\\"odinger equation. A modified local harmonic equation is\nformulated to take account of the Nambu-Goldstone mode. It turns out that in\nsome cases the system selects a diabatic path. Requantizing the collective\nHamiltonian, a reasonable agreement with an exact calculation for the low-lying\nlevels are obtained for both weak and strong pairing force. This improves on\nresults of the conventional Born-Oppenheimer approximation.",
"arxiv_id": "nucl-th/9710037",
"authors": [
"Takashi Nakatsukasa",
"Niels R. Walet"
],
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"nucl-th"
],
"doi": "10.1103/PhysRevC.57.1192",
"journal_ref": "Phys.Rev.C57:1192-1203,1998",
"title": "Diabatic and Adiabatic Collective Motion in a Model Pairing System",
"url": "https://arxiv.org/abs/nucl-th/9710037"
},
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