dorsal/arxiv
View SchemaMicroscopic Determinations of Fission Barriers, (MEAN-Field and Beyond)
| Authors | A. Dobrowolski, H. Goutte, J. -F. Berger |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0611072 |
| URL | https://arxiv.org/abs/nucl-th/0611072 |
| DOI | 10.1142/S0218301307005867 |
| Journal | Int.J.Mod.Phys.E16:431-442,2007 |
Abstract
With a help of the selfconsistent Hartree-Fock-Bogoliubov (HFB) approach with the D1S effective Gogny interaction and the Generator Coordinate Method (GCM) we incorporate the transverse collective vibrations to the one-dimensional model of the fission-barrier penetrability based on the traditional WKB method. The average fission barrier corresponding to the least-energy path in the two-dimensional potential energy landscape as function of quadrupole and octupole degrees of freedom is modified by the influence of the transverse collective vibrations along the nuclear path to fission. The set of transverse vibrational states built in the fission valley corresponding to a successively increasing nuclear elongation produces the new energy barrier which is compared with the least-energy barrier. These collective states are given as the eigensolutions of the GCM purely vibrational Hamiltonian. In addition, the influence of the collective inertia on the fission properties is displayed, and it turns out to be the decisive condition for the possible transitions between different fission valleys.
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"abstract": "With a help of the selfconsistent Hartree-Fock-Bogoliubov (HFB) approach with\nthe D1S effective Gogny interaction and the Generator Coordinate Method (GCM)\nwe incorporate the transverse collective vibrations to the one-dimensional\nmodel of the fission-barrier penetrability based on the traditional WKB method.\nThe average fission barrier corresponding to the least-energy path in the\ntwo-dimensional potential energy landscape as function of quadrupole and\noctupole degrees of freedom is modified by the influence of the transverse\ncollective vibrations along the nuclear path to fission. The set of transverse\nvibrational states built in the fission valley corresponding to a successively\nincreasing nuclear elongation produces the new energy barrier which is compared\nwith the least-energy barrier. These collective states are given as the\neigensolutions of the GCM purely vibrational Hamiltonian. In addition, the\ninfluence of the collective inertia on the fission properties is displayed, and\nit turns out to be the decisive condition for the possible transitions between\ndifferent fission valleys.",
"arxiv_id": "nucl-th/0611072",
"authors": [
"A. Dobrowolski",
"H. Goutte",
"J. -F. Berger"
],
"categories": [
"nucl-th"
],
"doi": "10.1142/S0218301307005867",
"journal_ref": "Int.J.Mod.Phys.E16:431-442,2007",
"title": "Microscopic Determinations of Fission Barriers, (MEAN-Field and Beyond)",
"url": "https://arxiv.org/abs/nucl-th/0611072"
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