Application of Time-Dependent Hartree-Fock Theory to Ne20: Odd-Parity Bands
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The constraint that the O16 "core" be inert with respect to particle-hole excitations in Ne20, imposed in a recent calculation, is relaxed. In this time-dependent Hartree-Fock treatment of Ne20, excitations are considered in which a particle from the energetically highest level in the core is promoted to a level in the s-d shell. The wave function describing the core particle is assumed to be given by the shell model. The single-particle wave functions and energy spectra ascribed to the outer four particles are those obtained by a static Hartree-Fock calculation done previously. Such excitations give rise to excited "intrinsic" states of odd parity, the lowest lying of which correspond to the observed odd-parity rotational bands. The agreement between the observed and calculated band positions gives credence to the assumption, proposed in the earlier calculation, that the O16 core is nearly spherical in Ne20 despite the deformation of the orbitals of the outer particles. 1964 The American Physical Society.
