Abstract
The possibility of parity deformation for spherical structures is investigated from various viewpoints. We use several criteria of stability for the spherical Hartree-Fock solution (Thouless condition, critical 0 − states in different approximations) as well as different types of two-body forces (a realistic effective interaction and the OPEP) and single-particle spectra (HF, oscillator, Woods-Saxon and experimental) in order to obtain a complete survey. The result is that parity deformation can be excluded in practically all cases. In addition, the positions of the two critical 0 − states of 16O are in good numerical agreement with experiments if realistic forces and experimental single-particle energies in connection with the random phase or Tamm-Dancoff approximation are used.
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