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

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

2006-04-19

arxiv.org/abs/nucl-th/0604047v3

Phys. Rev. C74 (2006) 051302(R)

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.74.051302

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.

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