New nuclear stability islands of octahedral and tetrahedral shapes

International audienceLarge scale calculations based on the microscopic-macroscopic method with Woods-Saxon single particle potential guided by the use of the discrete point group symmetries allow us to find the new islands of nuclear stability. These new stability regions are the consequence of particularly strong shell effects which are obtained in the calculations when the nuclear mean field is allowed to deform by respecting some special symmetries related to the so called high-rank point groups. The underlying mechanism is illustrated together with the full chain of the symmetry-associated magic number