Abstract
Large amplitude collective motion is investigated for a model pairing Hamiltonian containing an avoided level crossing. A classical theory of collective motion for the adiabatic limit is applied utilizing either a time-dependent mean-field theory or a direct parametrization of the time-dependent Schrödinger equation. A modified local harmonic equation is formulated to take account of the Nambu-Goldstone mode. It turns out that in some cases the system selects a diabatic path. Requantizing the collective Hamiltonian, a reasonable agreement with an exact calculation for the low-lying levels is obtained for both weak and strong pairing force. This improves on results of the conventional Born-Oppenheimer approximation.
| Original language | English |
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| Pages (from-to) | 1192-1203 |
| Number of pages | 11 |
| Journal | Physical Review C - Nuclear Physics |
| Volume | 57 |
| Issue number | 3 |
| Publication status | Published - Mar 1998 |