Symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations for exotic shapes in N=Z nuclei from 64Ge to 84Mo

Abstract By performing fully 3D symmetry-unrestricted Skyrme–Hartree–Fock–Bogoliubov calculations, we discuss shape coexistence and possibility of exotic deformations simultaneously breaking the reflection and axial symmetries in proton-rich N=Z nuclei: 64Ge, 68Se, 72Kr, 76Sr, 80Zr and 84Mo. Results of calculation indicate that the oblate ground state of 68Se is extremely soft against the Y 33 triangular deformation, and that the low-lying spherical minimum coexisting with the prolate ground state in 80Zr is extremely soft against the Y 32 tetrahedral deformation.