Tetrahedral correlations in ${}^{80}$Zr and ${}^{98}$Zr

Abstract

Axial octupole and tetrahedral correlations in ${}^{80}$Zr and ${}^{98}$Zr have been investigated using the generator coordinate method, applied to a basis generated by Skyrme HF+BCS calculations. We focus on the possible presence of states with tetrahedral symmetry and their stability with respect to octupole vibrations. We show that pairing significantly reduces the stability of the tetrahedral configuration and that a shallow mean-field tetrahedral minimum coexists with an axial octupole minimum. The contributions to the correlation energies coming from the tetrahedral degree of freedom and octupole axial deformation are discussed.

arXiv comment5 pages, 3 figures, references and minor details corrected, discussion on GCM and pairing added, conclusions unchanged

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• Multiple shape coexistence in the nucleus ${}^{80}$Zr
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• Multi-dimensional constraint relativistic mean field model and applications in actinide and transfermium nuclei
• A New Evidence of Interplay Between Tetrahedral and Octahedral Symmetries and Symmetry Breaking: Exotic Rotational Bands in ${}^{152}$Sm
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