Nuclear tetrahedral states and high-spin states studied using the quantum number projection method

We have recently developed an efficient method for performing the full quantum number projection from the most general mean-field (Hartree-Fock- Bogoliubov-type) wavefunctions including the angular momentum and parity, as well as the proton and neutron particle numbers. With this method, we have investigated several nuclear structure mechanisms. In this paper, we discuss the quantum rotational spectra obtained for the tetrahedral nuclear states, formulating certain experimentally verifiable criteria for the high-spin states, focusing on the wobbling bands and chiral bands, and for the drip-line nuclei, as illustrative examples.