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Prog. Theor. Phys. Vol. 76 No. 2 (1986) pp. 387-399

[ Full Text PDF : FREE ACCESS (730K) ]

Concept of Dynamical Collective Submanifold for Large-Amplitude Collective Motion in the TDHF Theory

Fumihiko Sakata, Toshio Marumori,* Yukio Hashimoto, Kazuhiro Muramatsu* and Masanori Ogura*

Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188
*Institute of Physics, University of Tsukuba, Ibaraki 305

(Received March 6, 1986)

Abstract:

A systematic microscopic theory of large-amplitude collective motion, which has been recently developed within the framework of the time-dependent Hartree-Fock (TDHF) theory under INS-TSUKUBA joint research project, is reformulated in terms of classical mechanics in the TDHF symplectic manifold. This reformulation clarifies an essential concept in the theory, i.e., an approximate integral surface in the TDHF manifold, which is identified as a dynamical collective submanifold for the large-amplitude collective motion. It is shown that the approximate integral surface must satisfy three dynamical conditions; (a) a stationary condition (i.e., a maximal-decoupling condition), (b) a stability condition and (c) a separability condition between collective and “local” non-collective modes of motion. These three dynamical conditions make clear the concept of “local” intrinsic modes of motion and guarantee that the TDHF-trajectory representing the large-amplitude collective motion under consideration is successfully reproduced on the approximate integral surface.


URL : http://ptp.ipap.jp/link?PTP/76/387/
DOI : 10.1143/PTP.76.387

[ Full Text PDF : FREE ACCESS (730K) ] Citation:

References:

  1. T. Marumori, T. Maskawa, F. Sakata and A. Kuriyama, Prog. Theor. Phys. 64 (1980), 1294[PTP].
    T. Marumori, F. Sakata, T. Maskawa, T. Une and Y. Hashimoto, Proceedings of the 1982 Brasov International School (World Scientific Publishing Co. Pte. Ltd), p. 1.
  2. F. Sakata, T. Marumori, Y. Hashimoto and T. Une, Prog. Theor. Phys. 70 (1983), 424[PTP].
  3. F. Sakata, T. Marumori, K. Muramatsu and Y. Hashimoto, Prog. Theor. Phys. 74 (1985), 51[PTP].
  4. P. G. Reinhard and K. Goeke, Nucl. Phys. A312 (1978), 121[Elsevier].
  5. A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 66 (1981), 2130[PTP].
  6. G. Holzwarth and T. Yukawa, Nucl. Phys. A219 (1974), 125[Elsevier].
  7. D. J. Rowe and R. Basserman, Can. J. Phys. 54 (1976), 1941.
  8. T. Marumori, Prog. Theor. Phys. 57 (1977), 112[PTP].
  9. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. 71 (1984), 752[PTP]; ibid. 75 (1986), 272[PTP].
  10. A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 70 (1983), 1675[PTP].
  11. In preparation.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 400-413 :
    Quantum Theory of Dynamical Collective Subspace for Large-Amplitude Collective Motion
    Fumihiko Sakata, Toshio Marumori and Masanori Ogura
  2. Progress of Theoretical Physics Vol. 77 No. 2 (1987) pp. 347-361 :
    Collective, Dissipative and Stochastic Motions in the TDHF Theory
    Kazuhiro Muramatsu, Fumihiko Sakata, Yoshifumi Yamamoto and Toshio Marumori
  3. Progress of Theoretical Physics Vol. 80 No. 4 (1988) pp. 678-693 :
    Extraction of Dynamical Collective Subspace for Large-Amplitude Collective Motion
    Kazuhiro Muramatsu, Fumihiko Sakata and Toshio Marumori
  4. 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
  5. 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
  6. Progress of Theoretical Physics Supplement No.93 (1987) pp. 1-175 :
    Time-Dependent Hartree-Fock Method and Its Extension
    Masatoshi Yamamura and Atsushi Kuriyama

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