Abstract
Collective vibrations in atomic nuclei are studied, assuming a time-dependent nuclear well potential. The collective frequencies (and the collective paramters B λ and C λ ) are obtained by imposing the condition of time-independence on the expectation value of the energy. The calculations are carried through without the use of the adiabatic approximation. For some closed-shell nuclei it is found that the lowest vibrational state should not be of the quadrupole type. The life-times of vibrational states are also calculated. The related problem of static deformations of a finite well potential is discussed. Some numerical results for the quadrupole and octupole vibrations in O 16 and the quadrupole vibration in Si 28 are given.
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