Ground-State Properties of Nonspherical Nuclei

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Abstract
A knowledge of the wave functions and energy levels for nucleonic motion in a nonspherical force field is a prerequisite to any detailed comparison between the empirical data and the model of Bohr and Mottleson. An extremely simple model for this internal problem is provided by the motion of independent particles in an ellipsoidal oscillator potential. By minimizing the total energy of such a system, we are led to conclude (1) that deformations which possess an axis of symmetry are always preferred by low-lying states, and (2) that this model cannot reproduce the observed preponderance of positive quadrupole moments. This last conclusion is unaltered by the surface tension or Coulomb repulsion.

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