Diabatic and adiabatic collective motion in a model pairing system

Takashi Nakatsukasa, Niels R. Walet

    Research output: Contribution to journalArticlepeer-review


    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 languageEnglish
    Pages (from-to)1192-1203
    Number of pages11
    JournalPhysical Review C - Nuclear Physics
    Issue number3
    Publication statusPublished - Mar 1998


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