Shortening the Way to Experimental Evidence for High-rank Symmetries in Atomic Nuclei: Researcher Instructions

Abstract

We discuss criteria for experimental identification of the nuclear tetrahedral and octahedral so-called high-rank symmetries based on the meanfield and group representation theories. We examine the possibly largest search zones on the (Z;N)-plane: in addition to traditionally discussed areas of even–even nuclei with proton and neutron numbers surrounding the tetrahedral magic ones (Zt0 ;Nt 0 = 32, 40, 56, 64, 70, 90, 112, 136), we discuss also the odd–even and even–odd nuclei for which the identification criteria non-trivially differ from those for the even–even ones. We also propose the appropriately chosen particle–hole excited states to profit from the deformation driving mechanism contributed by combinations of certain orbitals. The discussion is summarised in the form of a series of ‘user’ instructions.