4,762 research outputs found
Solid weak BCC-algebras
We characterize weak BCC-algebras in which the identity is
satisfied only in the case when elements belong to the same branch
Nuclei with Tetrahedral Symmetry
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.Comment: 18 pages, 4 figures, submitted to International Journal of Modern
Physics
Atomic Nuclei with Tetrahedral and Octahedral Symmetries
We present possible manifestations of octahedral and tetrahedral symmetries
in nuclei. These symmetries are associated with the OhD and TdD double point
groups. Both of them have very characteristic finger-prints in terms of the
nucleonic level properties - unique in the Fermionic universe. The tetrahedral
symmetry leads to the four-fold degeneracies in the nucleonic spectra; it does
not preserve the parity. The octahedral symmetry leads to the four-fold
degeneracies in the nucleonic spectra as well but it does preserve the parity.
Microscopic predictions have been obtained using mean-field theory based on
the relativistic equations and confirmed by using 'traditional' Schroedinger
equation formalism. Calculations are performed in multidimensional deformation
spaces using newly designed algorithms.
We discuss some experimental fingerprints of the hypothetical new symmetries
and possibilities of their verification through experiments.Comment: 24 pages, LaTeX, Invited lecture on the XXXVII School of Nuclear
Physics, Zakopane 2002, Polan
- …