**J. DUDEK, J. DOBACZEWSKI, N. DUBRAY,
A. GÓZDZ,
V. PANGON, and N. SCHUNCK**

We discuss a point-group-theory based method of searching for new regions of nuclear stability. We illustrate the related strategy with realistic calculations employing the tetrahedral and the octahedral point groups. In particular, several nuclei in the Rare Earth region appear as excellent candidates to study the new mechanism.

- Introduction
- Symmetry Arguments - Qualitatively
- Realistic Mean-Field Hamiltonian and Method
- Nuclear Surfaces Invariant Under Symmetry Point-Groups
- Interplay Between Tetrahedral and Octahedral Symmetries

- Tetrahedral Magic Numbers in Rare Earth and Actinide Nuclei

- Tetrahedral and Octahedral Symmetry Instabilities
- Tetrahedral and Octahedral Instabilities within Self-Consistent HFB Method
- Summary and Conclusions
- Bibliography
- About this document ...

Jacek Dobaczewski 2006-10-30