Effects of Time-Odd Components in Mean Field on Large Amplitude Collective Dynamics

Abstract

We apply the adiabatic self-consistent collective coordinate (ASCC) method to the multi-O(4) model and study the collective mass (inertia function) of many-body tunneling motion. Comparing the results with those obtained from the exact diagonalization, we show that the ASCC method is capable of describing the gradual change of the excitation spectra from an anharmonic vibration about a spherical shape to a doublet pattern associated with a deformed double-well potential possessing oblate-prolate symmetry. It is found that the collective mass is significantly increased by the quadrupole-pairing contribution to time-odd components of the moving mean field. In contrast, the cranking (Inglis-Belyaev) mass based on the constrained mean field, which ignores the time-odd components, is smaller than the ASCC mass and fails to reproduce the exact spectra.