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Prog. Theor. Phys. Vol. 64 No. 4 (1980) pp. 1294-1314

[ Full Text PDF : FREE ACCESS (1263K) ]

Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion

Toshio Marumori, Toshihide Maskawa,* Fumihiko Sakata* and Atsushi Kuriyama**

Institute of Physics, University of Tsukuba, Ibaraki 305
and
Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188
*Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188
**Department of Physics, Kyushu University, Fukuoka 812

(Received April 24, 1980)

Abstract:

This is the second in a series of papers which intends to develop a new microscopic theory capable by itself to select the “optimum” collective path or, more generally, the “optimum” collective submanifold in the many-particle Hilbert space. The main content of this paper consists of i) a restatement of the baisc equations of the theory, derived from the fundamental principle which leads us to the “maximal decoupling” between the collective and intrinsic modes and is called the “invariance principle of the Schrödinger equation”, and ii) a proposal of a method of solving the basic equations in an appropriate way for the large-amplitude and highly non-linear collective vibrations about the Hartree-Fock ground state with a spherically symmetric equilibrium.


URL : http://ptp.ipap.jp/link?PTP/64/1294/
DOI : 10.1143/PTP.64.1294

[ Full Text PDF : FREE ACCESS (1263K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 64 No. 6 (1980) pp. 2076-2090 :
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  2. Progress of Theoretical Physics Vol. 65 No. 2 (1981) pp. 550-564 :
    A Microscopic Theory of Collective and Independent-Particle Motions
    Masatoshi Yamamura and Atsushi Kuriyama
  3. Progress of Theoretical Physics Vol. 65 No. 2 (1981) pp. 755-758 :
    An Approximate Solution of Equation of Collective Path and Random Phase Approximation
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    Quantum Theory of Collective Motion
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  7. Progress of Theoretical Physics Vol. 67 No. 3 (1982) pp. 852-865 :
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  8. Progress of Theoretical Physics Vol. 69 No. 2 (1983) pp. 681-684 :
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    Diabatic Mean-Field Description of Rotational Bands in Terms of the Selfconsistent Collective Coordinate Method
    Yoshifumi R. Shimizu and Kenichi Matsuyanagi

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