Tetrahedral and Triangular Deformations of $Z=N$ Nuclei in Mass Region $A \sim 60-80$
arXiv:nucl-th/9711012 · doi:10.1016/S0370-2693(98)00545-0
Abstract
We study static non-axial octupole deformations in proton-rich $Z=N$ nuclei, $^{64}$Ge, $^{68}$Se, $^{72}$Kr, $^{76}$Sr, $^{80}$Zr and $^{84}$Mo, by using the Skyrme Hartree-Fock plus BCS calculation with no restrictions on the nuclear shape. The calculation predicts that the oblate ground state in $^{68}$Se is extremely soft for the $Y_{33}$ triangular deformation, and that in $^{80}$Zr the low-lying local minimum state coexisting with the prolate ground state has the $Y_{32}$ tetrahedral deformation.
8 pages, 4 Postscript figures, REVTEX