Abstract
The simplest type of vibration, that in which the nucleus makes surface oscillations about an equilibrium spherical shape, is reviewed in light of current nuclear literature. Such a model, based on purely harmonic vibrations, shares some success with other models in describing the origin of nuclear level schemes. However, a detailed examination of known nuclear spectra and recent measurements of quadrupole moments and transition probabilities suggest that this approach is only semivalid, emphasizing the need to include anharmonicity in the vibrational Hamiltonian.
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