# Non-Axial Octupole Deformations and Tetrahedral Symmetry in Heavy Nuclei

Abstract : The total energies of about 120 nuclei in the Thorium region have been calculated within the macroscopic-microscopic method in the 5-dimensional space of deformation parameters \alpha_{20}, \alpha_{22}, \alpha_{30}, \alpha_{32} and \alpha_{40}. The macroscopic energy term contains the nuclear surface-curvature dependence as proposed within the LSD approach. The microscopic energies are calculated with the Woods-Saxon single particle potential employing the universal set of parameters.We study a possible presence of the octupole axial and non-axial degrees of freedom all-over in the ($\beta,\gamma$)-plane focussing on the ground-states, secondary minima and in the saddle points. In fact, a competition between axial and tri-axial octupole deformation parameters is obtained at the saddle points and in the secondary minima for many isotones with N > 136. The presence of the tetrahedral symmetry minima is predicted in numerous nuclei in the discussed region, although most of the time at relatively high excitation energies.
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Conference papers

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Submitted on : Thursday, January 25, 2007 - 4:50:47 PM
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### Citation

K. Mazurek, J. Dudek. Non-Axial Octupole Deformations and Tetrahedral Symmetry in Heavy Nuclei. International Symposium on Exotic Nuclear Systems ENS'05, Jun 2005, Debrecen, Hungary. pp.153-156, ⟨10.1063/1.2140643⟩. ⟨in2p3-00126688⟩

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