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Efficient Method for Quantum Number Projection and Its Application to Tetrahedral Nuclear States
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
Zr. The nice low-lying rotational spectra, which have all
characteristic features of the molecular tetrahedral rotor, are obtained for
large tetrahedral deformation, \alpha_{32} \gtsim 0.25, while the spectra are
of transitional nature between vibrational and rotational with rather high
excitation energies for Comment: Trivial mistakes are correcte
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