TETRAHEDRAL SYMMETRY IN NUCLEI: NEW PREDICTIONS BASED ON THE COLLECTIVE MODEL

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 (alpha(20)) vs. tetrahedral (alpha(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.