dorsal/arxiv
View SchemaStudy of Superdeformation in Non-rotating States using the Skyrme-Hartree-Fock Method
| Authors | Satoshi Takahara, Naoki Tajima, Naoki Onishi |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9803037 |
| URL | https://arxiv.org/abs/nucl-th/9803037 |
| DOI | 10.1016/S0375-9474(98)00535-1 |
| Journal | Nucl.Phys. A642 (1998) 461-479 |
Abstract
The superdeformation (SD) in non-rotating states is studied with the HF+BCS method using the Skyrme interaction. In applying the BCS theory, the seniority pairing force is employed, of which strengths are determined in order to reproduce the empirical pairing gap formula, $\bar{\Delta} = 12 A^{-1/2}$ MeV, through a smooth level density obtained in the Thomas-Fermi approximation. Properties of superdeformation are investigated by calculating potential energy surfaces (PES) for various sets of the pairing force strengths and the Skyrme force parameter for 194Hg and 236,238U. The best results are obtained using both the SkM* force and the pairing force strength determined in this paper. By making use of this set of forces, a systematic calculation of SD states is carried out extensively for even-even nuclei for 20 <= Z <= 82. From our calculation, the barriers preventing the decay into the normally deformed states are about twice as high as those predicted by Krieger et al., who used the same Skyrme interaction but a pairing force stronger than ours. The differences of the present results from the Nilsson-Strutinsky calculation are analyzed.
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"abstract": "The superdeformation (SD) in non-rotating states is studied with the HF+BCS\nmethod using the Skyrme interaction. In applying the BCS theory, the seniority\npairing force is employed, of which strengths are determined in order to\nreproduce the empirical pairing gap formula, $\\bar{\\Delta} = 12 A^{-1/2}$ MeV,\nthrough a smooth level density obtained in the Thomas-Fermi approximation.\nProperties of superdeformation are investigated by calculating potential energy\nsurfaces (PES) for various sets of the pairing force strengths and the Skyrme\nforce parameter for 194Hg and 236,238U. The best results are obtained using\nboth the SkM* force and the pairing force strength determined in this paper. By\nmaking use of this set of forces, a systematic calculation of SD states is\ncarried out extensively for even-even nuclei for 20 \u003c= Z \u003c= 82. From our\ncalculation, the barriers preventing the decay into the normally deformed\nstates are about twice as high as those predicted by Krieger et al., who used\nthe same Skyrme interaction but a pairing force stronger than ours. The\ndifferences of the present results from the Nilsson-Strutinsky calculation are\nanalyzed.",
"arxiv_id": "nucl-th/9803037",
"authors": [
"Satoshi Takahara",
"Naoki Tajima",
"Naoki Onishi"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(98)00535-1",
"journal_ref": "Nucl.Phys. A642 (1998) 461-479",
"title": "Study of Superdeformation in Non-rotating States using the Skyrme-Hartree-Fock Method",
"url": "https://arxiv.org/abs/nucl-th/9803037"
},
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