dorsal/arxiv
View SchemaThe nuclear scissors mode within two approaches (Wigner function moments versus RPA)
| Authors | E. B. Balbutsev, P. Schuck |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0502036 |
| URL | https://arxiv.org/abs/nucl-th/0502036 |
| DOI | 10.1134/1.2053333 |
| Journal | Phys.Atom.Nucl. 68 (2005) 1497-1509; Yad.Fiz. 68 (2005) 1555-1567 |
Abstract
Two complementary methods to describe the collective motion, RPA and Wigner function moments method, are compared on an example of a simple model - harmonic oscillator with quadrupole-quadrupole residual interaction. It is shown that they give identical formulae for eigenfrequencies and transition probabilities of all collective excitations of the model including the scissors mode, which here is the subject of our special attention. The exact relation between the variables of the two methods and the respective dynamical equations is established. The normalization factor of the "synthetic" scissors state and its overlap with physical states are calculated analytically. The orthogonality of the spurious state to all physical states is proved rigorously.
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"abstract": "Two complementary methods to describe the collective motion, RPA and Wigner\nfunction moments method, are compared on an example of a simple model -\nharmonic oscillator with quadrupole-quadrupole residual interaction. It is\nshown that they give identical formulae for eigenfrequencies and transition\nprobabilities of all collective excitations of the model including the scissors\nmode, which here is the subject of our special attention. The exact relation\nbetween the variables of the two methods and the respective dynamical equations\nis established. The normalization factor of the \"synthetic\" scissors state and\nits overlap with physical states are calculated analytically. The orthogonality\nof the spurious state to all physical states is proved rigorously.",
"arxiv_id": "nucl-th/0502036",
"authors": [
"E. B. Balbutsev",
"P. Schuck"
],
"categories": [
"nucl-th"
],
"doi": "10.1134/1.2053333",
"journal_ref": "Phys.Atom.Nucl. 68 (2005) 1497-1509; Yad.Fiz. 68 (2005) 1555-1567",
"title": "The nuclear scissors mode within two approaches (Wigner function moments versus RPA)",
"url": "https://arxiv.org/abs/nucl-th/0502036"
},
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