Abstract

The vibrational levels of non-spherical nuclei are studied by a semi-classical method analogous to the cranking model for rotation. The method of Green's one-particle functions is used to describe the superfluidity of nuclei. A dispersion equation is obtained for determining the eigenvalues of frequencies of the proper vibrations of the mass multipole moments. The mass coefficient for multipole vibrations, obtained with the help of this equation, contains an additional term which makes it possible to derive the hydrodynamic limit.

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