Prog. Theor. Phys. Vol. 80 No. 4 (1988) pp. 678-693
Extraction of Dynamical Collective Subspace for Large-Amplitude Collective Motion
— Application to Simple Solvable Model
Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188
*Institute of Physics, University of Tsukuba, Tsukuba 305
(Received March 18, 1988)
It is the purpose of the present paper to illustrate the quantum
theory of dynamical collective subspace, which has been proposed in a
previous paper to describe the large-amplitude collective motion, by
using a simple four-level model with the pairing interactions. The
quantum theory provides us a prescription to dynamically specify a set
of "global" collective operators as well as the "optimum" dynamical
collective subspace spanned by them. This prescription is applied to
the simple model, and the results thus obtained are compared with
exact numerical solutions. It is shown that the results by our theory
are in excellent agreement with the exact solutions, not only in
the low-lying collective states in the vicinity of the "vacuum" with
the stable mean-field but also in the higher excited collective
states far from it. Through the investigation, it is demonstrated that
our theory is quite powerful in disclosing microscopic structure of
transfiguration of collectivity near the critical point of the
"phase transition". It is the essential statement derived by our
theory that the conventional (local) collective operators based on the
Tamm-Dancoff approximation or the random phase approximation should be
replaced by relevant (global) collective operators with
changeable microscopic structure depending on the amplitude of
collective motion, in order to properly specify a set of collective
DOI : 10.1143/PTP.80.678
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Citing Article(s) :
Progress of Theoretical Physics Vol. 82 No. 5 (1989) pp. 965-987
Breking of Separability Condition for Dynamical Collective Subspace
Fumihiko Sakata, Yoshifumi Yamamoto, Toshio Marumori, Shinji Iida and Hidehiko Tsukuma
Progress of Theoretical Physics Vol. 85 No. 6 (1991) pp. 1235-1270
Microscopic Description of Nuclear Collective Rotation by Means of the Self-Consistent Collective Coordinate Method
Jun Terasaki, Toshio Marumori and Fumihiko Sakata