Nuclear Tetrahedral Symmetry: Possibly Present Throughout the Periodic Table

Details Nuclear Tetrahedral Symmetry: Possibly Present Throughout the Periodic Table Nuclear Tetrahedral Symmetry: Possibly Present Throughout the Periodic Table

2002-05-21

arxiv.org/abs/nucl-th/0205059v1

Phys.Rev.Lett. 88 (2002) 252502

Physics

Nuclear Physics

Nuclear Theory

4 pages in LaTeX and 4 figures in eps format

Scientific paper

10.1103/PhysRevLett.88.252502

More than half a century after the fundamental, spherical shell structure in nuclei has been established, theoretical predictions indicate that the shell-gaps comparable or even stronger than those at spherical shapes may exist. Group-theoretical analysis supported by realistic mean-field calculations indicate that the corresponding nuclei are characterized by the $T_d^D$ ('double-tetrahedral') group of symmetry, exact or approximate. The corresponding strong shell-gap structure is markedly enhanced by the existence of the 4-dimensional irreducible representations of the group in question and consequently it can be seen as a geometrical effect that does not depend on a particular realization of the mean-field. Possibilities of discovering the corresponding symmetry in experiment are discussed.

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