dorsal/arxiv
View SchemaCharacteristic Feature of Self-Consistent Mean-Field in Level Crossing Region
| Authors | Lu Guo, Fumihiko Sakata, En-Guang Zhao |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0404036 |
| URL | https://arxiv.org/abs/nucl-th/0404036 |
| DOI | 10.1016/j.nuclphysa.2004.04.117 |
| Journal | Nucl.Phys. A740 (2004) 59-76 |
Abstract
A shape change of the self-consistent mean-field induced by a configuration change is discussed within the conventional constrained Hartree-Fock (CHF) theory. It is stressed that a single-particle level crossing dynamics should be treated carefully, because the shape of the mean-field in such a finite many-body system as the nucleus strongly changes depending on its configuration. This situation is clearly shown by applying an adiabatic assumption, where the most energetically favorable single-particle states are assumed to be occupied. The excited HF states and the continuously-connected potential energy curves are given by applying the configuration dictated CHF method. The effect of pairing correlation is discussed in the level crossing region. Triaxial deformed results in our Hartree-Fock-Bogoliubov (HFB) calculation with Gogny force nicely reproduce the available experimental data of Ge isotopes. From our numerical calculation, it is concluded that the CHFB state is more fragile than the CHF state in the level crossing region.
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"abstract": "A shape change of the self-consistent mean-field induced by a configuration\nchange is discussed within the conventional constrained Hartree-Fock (CHF)\ntheory. It is stressed that a single-particle level crossing dynamics should be\ntreated carefully, because the shape of the mean-field in such a finite\nmany-body system as the nucleus strongly changes depending on its\nconfiguration. This situation is clearly shown by applying an adiabatic\nassumption, where the most energetically favorable single-particle states are\nassumed to be occupied. The excited HF states and the continuously-connected\npotential energy curves are given by applying the configuration dictated CHF\nmethod. The effect of pairing correlation is discussed in the level crossing\nregion. Triaxial deformed results in our Hartree-Fock-Bogoliubov (HFB)\ncalculation with Gogny force nicely reproduce the available experimental data\nof Ge isotopes. From our numerical calculation, it is concluded that the CHFB\nstate is more fragile than the CHF state in the level crossing region.",
"arxiv_id": "nucl-th/0404036",
"authors": [
"Lu Guo",
"Fumihiko Sakata",
"En-Guang Zhao"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2004.04.117",
"journal_ref": "Nucl.Phys. A740 (2004) 59-76",
"title": "Characteristic Feature of Self-Consistent Mean-Field in Level Crossing Region",
"url": "https://arxiv.org/abs/nucl-th/0404036"
},
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