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arXiv · 1301.3278

Efficient Method for Quantum Number Projection and Its Application to Tetrahedral Nuclear States

S. Tagami·Y. R. Shimizu·J. Dudek
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Abstract

We have developed an efficient method for quantum number projection from most general HFB type mean-field states, where all the symmetries like axial symmetry, number conservation, parity and time-reversal invariance are broken. Applying the method, we have microscopically calculated, for the first time, the energy spectra based on the exotic tetrahedral deformation in $^{108,110}$Zr. The nice low-lying rotational spectra, which have all characteristic features of the molecular tetrahedral rotor, are obtained for large tetrahedral deformation, $α_{32} \gtsim 0.25$, while the spectra are of transitional nature between vibrational and rotational with rather high excitation energies for $α_{32}\approx 0.1-0.2$

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S. Tagami, Y. R. Shimizu, J. Dudek. 2013-01-15. Efficient Method for Quantum Number Projection and Its Application to Tetrahedral Nuclear States. https://doi.org/10.1143/ptps.196.334

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