Dynamics of Nuclear Deformation

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Abstract
The droplet model of collective nuclear motions is ordinarily based on the assumption of classical irrotational fluid flow and has been used to obtain both the rotational properties of nuclei associated with a circulating surface wave and the vibrational properties of a surface deformation, though only the rotational results are confirmed experimentally. As a partial justification of the irrotational assumption, the energy of collective rotation of a closed-shell nucleus has been derived from nucleon wave functions in an earlier paper. The vibrational problem is here similarly treated and it is shown that, in contrast to the case of rotation, the vibrational distortion of a closed-shell nucleus is so rapid that the adiabatic treatment used is not valid. The potential energy of distortion calculated with phenomenological nuclear forces is not very different from that calculated by use of the deformed three-dimensional oscillator potential, which verifies that the latter is a fairly good approximation to a "self-consistent field" for a deformed closed-shell nucleus.

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