A search for the self-consistent solutions for the chiral rotational
bands in the 
isotones, 
Cs, 
La, 
Pr and
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 considered four
isotones, self-consistent chiral solutions are obtained only in
La. The microscopic calculations are compared with the
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 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.
P. Olbratowski, J. Dobaczewski, J. Dudek
isotones
valence nucleons and of the core
-symmetric potential
