Tetrahedral symmetry in nuclei: New predictions based on the collective model

摘要

We apply the standard collective nuclear Hamiltonian derived in the literature with the help of the Adiabatic Time Dependent Hartree-Fock (ATDHF) theory. We use a schematic two-dimensional collective space spanned by the axial-quadrupole (α_(20)) vs. tetrahedral (α_(32)) deformations together with the potential energy surfaces calculated microscopically. We illustrate and discuss the collective-model solutions suggesting that the tetrahedral-symmetry nuclei may generate sizeable quadrupole transitions: this result is in contrast to the previous expectations and/or predictions.