dorsal/arxiv
View SchemaSearch for the Skyrme-Hartree-Fock Solutions for Chiral Rotation in N=75 Isotones
| Authors | P. Olbratowski, J. Dobaczewski, J. Dudek |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0510087 |
| URL | https://arxiv.org/abs/nucl-th/0510087 |
| DOI | 10.1103/PhysRevC.73.054308 |
| Journal | Phys.Rev. C73 (2006) 054308 |
Abstract
A search for the self-consistent solutions for the chiral rotational bands in the N=75 isotones, 130Cs, 132La, 134Pr and 136Pm is performed within the Skyrme-Hartree-Fock cranking approach using SKM* and SLy4 parametrizations. The dependence of the solutions on the time-odd contributions in the energy functional is studied. From among the considered four isotones, self-consistent chiral solutions are obtained only in 132La. The microscopic calculations are compared with the 132La experimental data and with results of a classical model that contains all the mechanisms underlying the chirality of the collective rotational motion. Strong similarities between the HF and classical model results are found. The suggestion formulated earlier by the authors that the chiral rotation cannot exist below a certain critical frequency is further illustrated and discussed, together with the microscopic origin of a transition from the planar to chiral rotation in nuclei. We also formulate the separability rule by which the Tilted-Axis-Cranking solutions can be inferred from three independent Principal-Axis-Cranking solutions corresponding to three different axes of rotation.
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"abstract": "A search for the self-consistent solutions for the chiral rotational bands in\nthe N=75 isotones, 130Cs, 132La, 134Pr and 136Pm is performed within the\nSkyrme-Hartree-Fock cranking approach using SKM* and SLy4 parametrizations. The\ndependence of the solutions on the time-odd contributions in the energy\nfunctional is studied. From among the considered four isotones, self-consistent\nchiral solutions are obtained only in 132La. The microscopic calculations are\ncompared with the 132La experimental data and with results of a classical model\nthat contains all the mechanisms underlying the chirality of the collective\nrotational motion. Strong similarities between the HF and classical model\nresults are found. The suggestion formulated earlier by the authors that the\nchiral rotation cannot exist below a certain critical frequency is further\nillustrated and discussed, together with the microscopic origin of a transition\nfrom the planar to chiral rotation in nuclei. We also formulate the\nseparability rule by which the Tilted-Axis-Cranking solutions can be inferred\nfrom three independent Principal-Axis-Cranking solutions corresponding to three\ndifferent axes of rotation.",
"arxiv_id": "nucl-th/0510087",
"authors": [
"P. Olbratowski",
"J. Dobaczewski",
"J. Dudek"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.054308",
"journal_ref": "Phys.Rev. C73 (2006) 054308",
"title": "Search for the Skyrme-Hartree-Fock Solutions for Chiral Rotation in N=75 Isotones",
"url": "https://arxiv.org/abs/nucl-th/0510087"
},
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