dorsal/arxiv
View SchemaUnified semiclassical approach to isoscalar collective modes in heavy nuclei
| Authors | V. I. Abrosimov, A. Dellafiore, F. Matera |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407015 |
| URL | https://arxiv.org/abs/nucl-th/0407015 |
| DOI | 10.1142/9789812702265_0047 |
Abstract
A semiclassical model based on the solution of the Vlasov equation for finite systems with a sharp moving surface has been used to study the isoscalar quadrupole and octupole collective modes in heavy spherical nuclei. Within this model, a unified description of both low-energy surface modes and higher-energy giant resonances has been achieved by introducing a coupling between surface vibrations and the motion of single nucleons. Analytical expressions for the collective response functions of different multipolarity can be derived by using a separable approximation for the residual interaction between nucleons. The response functions obtained in this way give a good qualitative description of the quadrupole and octupole response in heavy nuclei. Although shell effects are not explicitly included in the theory, our semiclassical response functions are very similar to the quantum ones. This happens because of the well known close relation between classical trajectories and shell structure. The role played by particular nucleon trajectories and their connection with various features of the nuclear response is displayed most clearly in the present approach, we discuss in some detail the damping of low-energy octupole vibrations and give an explicit expression showing that only nucleons moving on triangular orbits can contribute to this damping.
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"abstract": "A semiclassical model based on the solution of the Vlasov equation for finite\nsystems with a sharp moving surface has been used to study the isoscalar\nquadrupole and octupole collective modes in heavy spherical nuclei. Within this\nmodel, a unified description of both low-energy surface modes and higher-energy\ngiant resonances has been achieved by introducing a coupling between surface\nvibrations and the motion of single nucleons. Analytical expressions for the\ncollective response functions of different multipolarity can be derived by\nusing a separable approximation for the residual interaction between nucleons.\nThe response functions obtained in this way give a good qualitative description\nof the quadrupole and octupole response in heavy nuclei. Although shell effects\nare not explicitly included in the theory, our semiclassical response functions\nare very similar to the quantum ones. This happens because of the well known\nclose relation between classical trajectories and shell structure. The role\nplayed by particular nucleon trajectories and their connection with various\nfeatures of the nuclear response is displayed most clearly in the present\napproach, we discuss in some detail the damping of low-energy octupole\nvibrations and give an explicit expression showing that only nucleons moving on\ntriangular orbits can contribute to this damping.",
"arxiv_id": "nucl-th/0407015",
"authors": [
"V. I. Abrosimov",
"A. Dellafiore",
"F. Matera"
],
"categories": [
"nucl-th"
],
"doi": "10.1142/9789812702265_0047",
"title": "Unified semiclassical approach to isoscalar collective modes in heavy nuclei",
"url": "https://arxiv.org/abs/nucl-th/0407015"
},
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