dorsal/arxiv
View SchemaKinetic-theory approach to low-energy collective modes in nuclei
| Authors | V. Abrosimov, A. Dellafiore, F. Matera |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9907031 |
| URL | https://arxiv.org/abs/nucl-th/9907031 |
| DOI | 10.1016/S0375-9474(99)00193-1 |
| Journal | Nucl.Phys. A653 (1999) 115-129 |
Abstract
Two different solutions of the linearized Vlasov equation for finite systems, characterized by fixed and moving-surface boundary conditions, are discussed in a unified perspective. A condition determining the eigenfrequencies of collective nuclear oscillations, that can be obtained from the moving-surface solution, is studied for isoscalar vibrations of lowest multipolarity. Analytic expressions for the friction and mass parameters related to the low-enegy surface excitations are derived and their value is compared to values given by other models. Both similarities and differences are found with respect to the other approaches, however the close agreement obtained in many cases with one of the other models suggests that, in spite of some important differences, the two approaches are substantially equivalent. The formalism based on the Vlasov equation is more transparent since it leads to analytical expressions that can be a basis for further improvement of the model.
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"abstract": "Two different solutions of the linearized Vlasov equation for finite systems,\ncharacterized by fixed and moving-surface boundary conditions, are discussed in\na unified perspective. A condition determining the eigenfrequencies of\ncollective nuclear oscillations, that can be obtained from the moving-surface\nsolution, is studied for isoscalar vibrations of lowest multipolarity. Analytic\nexpressions for the friction and mass parameters related to the low-enegy\nsurface excitations are derived and their value is compared to values given by\nother models. Both similarities and differences are found with respect to the\nother approaches, however the close agreement obtained in many cases with one\nof the other models suggests that, in spite of some important differences, the\ntwo approaches are substantially equivalent. The formalism based on the Vlasov\nequation is more transparent since it leads to analytical expressions that can\nbe a basis for further improvement of the model.",
"arxiv_id": "nucl-th/9907031",
"authors": [
"V. Abrosimov",
"A. Dellafiore",
"F. Matera"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00193-1",
"journal_ref": "Nucl.Phys. A653 (1999) 115-129",
"title": "Kinetic-theory approach to low-energy collective modes in nuclei",
"url": "https://arxiv.org/abs/nucl-th/9907031"
},
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