BCS-pairing and nuclear vibrations

Abstract

On the basis of time-dependent mean-field picture, we discuss the nature of the low-frequency quadrupole vibrations from small-amplitude to large-amplitude regimes as representatives of surface shape vibrations of a superfluid droplet (nucleus). We consider full five-dimensional quadrupole dynamics including three-dimensional rotations restoring the broken symmetries as well as axially symmetric and asymmetric shape fluctuations. We show that the intimate connections between the BCS pairing and collective vibrations reveal through the inertial masses governing their collective kinetic energies.

Comments: 15 pages, 2 figures, chapter in "Fifty Years of Nuclear BCS", eds. R.A. Broglia and V.Zelevinsky; typos corrected