SHAPES AND SYMMETRIES OF LIGHT NUCLEI

We demonstrate that the existence of symmetries under the operations T, Pexp(-iπJy), and (iπJz) in the Hartree-Fock densities of even-even N=Z nuclei follows directly from two indisputable features of any effective shell-model interaction, viz., the general exchange nature and the short range. We show that this implies that one should not expect parity mixing in Hartree-Fock ground state wave functions for these nuclei. Finally, we demonstrate that these same features of the interaction allow us to predict the shapes of the Hartree-Fock densities. © 1969 The American Physical Society.