Search for the Skyrme-Hartree-Fock solutions for chiral rotation in N=75 isotones
- Institute of Theoretical Physics, Warsaw University, ul. Hoza 69, PL-00681, Warsaw (Poland)
- Institut de Recherches Subatomiques IN2P3-CNRS/Universite Louis Pasteur, F-67037 Strasbourg Cedex 2 (France)
A search for self-consistent solutions for the chiral rotational bands in the N=75 isotones {sup 130}Cs, {sup 132}La, {sup 134}Pr, and {sup 136}Pm 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 four isotones considered, self-consistent chiral solutions are obtained only in {sup 132}La. The microscopic calculations are compared with the {sup 132}La 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 Hartree-Fock 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 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.
- OSTI ID:
- 20771529
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 73, Issue 5; Other Information: DOI: 10.1103/PhysRevC.73.054308; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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