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Prog. Theor. Phys. Vol. 57 No. 1 (1977) pp. 112-123

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A Microscopic Theory of Large Amplitude Nuclear Collective Motion

Toshio Marumori

Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188

(Received August 21, 1976)

Abstract:

An approach toward microscopic description of large amplitude nuclear collective motion is proposed, with the aim of going beyond the situations which are described by the random phase approximation, i.e., by small amplitude harmonic oscillations about equilibrium.


URL : http://ptp.ipap.jp/link?PTP/57/112/
DOI : 10.1143/PTP.57.112

[ Full Text PDF : FREE ACCESS (851K) ] Citation:


References:

  1. M. Baranger, J. de Phys. Suppl. 33 (1972), 61.
    F. Villars, in Dynamic Structure of Nuclear States, ed. by D. J. Rowe (University of Tronto Press, 1972).
  2. G. Holzwarth and T. Yukawa, Nucl. Phys. A 219 (1974), 125[CrossRef].
    J. H. Hetherington, Nucl. Phys. A 204 (1973), 110[CrossRef].
  3. K. Sawada, Phys. Rev. 106 (1957), 372[APS].
  4. K. Sawada, Butsuri (in Japanese) 16 (1961), 446.
    K. Sawada, Many Body Problem (in Japanese) (Iwanami Publishing Company, Tokyo, 1971).
  5. T. Marumori, in Theory of Nucleus (in Japanese), ed. by H. Yukawa, S. Takagi and T. Marumori (Iwanami Publishing Company, Tokyo, 1973).
  6. R. J. Glauber, Phys. Rev. 131 (1963), 2766[APS].
  7. F. Villars, Proceedings of the International School of Physics “Enrico Fermi”, Course XXIII (1961) and Course XXVI (1965) (Academic Press, New York).
  8. F. Villars, Proceedings of the International Conference on Nuclear Self-Donsistent Fields, Trieste, (1975), ed. by G. Ripka and M. Porneuf, 3.
  9. T. Yukawa and G. Holzwarth, “A Microscopic Theory of Large Amplitude Collective Motions”, Saclay preprint, DPh-T/75/46.
  10. D. J. Rowe, Proceedings of the International Symposium on Nuclear Structure, Budapest (1975), p. 57.
    D. J. Rowe and R. Bassermann, “Coherent State Theory of Large Amplitude Collective Motion”, preprint, Dec. 1975.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 58 No. 1 (1977) pp. 366-368 :
    Positive Definite Mass Parameter for Large Amplitude Monopole Motion and Non-Adiabatic Effect
    Atsushi Kuriyama
  2. Progress of Theoretical Physics Vol. 63 No. 3 (1980) pp. 1063-1066 :
    A Large Amplitude Collective Motion in a Nontrivial Schematic Model
    Akihisa Hayashi and Saburo Iwasaki
  3. Progress of Theoretical Physics Vol. 63 No. 5 (1980) pp. 1576-1598 :
    Concept of a Collective Subspace Associated with the Invariance Principle of the Schrödinger Equation
    Toshio Marumori, Akihisa Hayashi, Toshiaki Tomoda, Atsushi Kuriyama and Toshihide Maskawa
  4. Progress of Theoretical Physics Vol. 64 No. 4 (1980) pp. 1294-1314 :
    Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion
    Toshio Marumori, Toshihide Maskawa, Fumihiko Sakata and Atsushi Kuriyama
  5. Progress of Theoretical Physics Vol. 64 No. 6 (1980) pp. 2076-2090 :
    Collective Subspace and Canonical System with Constraints
    Atsushi Kuriyama
  6. 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
  7. Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1450-1453 :
    A Semiclassical Treatment of Transition Phenomena by Coherent-State Path Integral
    Yutaka Mizobuchi
  8. Progress of Theoretical Physics Vol. 70 No. 1 (1983) pp. 163-175 :
    Maximally-Decoupled Collective Submanifold in a Simple Solvable Model
    Fumihiko Sakata, Yukio Hashimoto, Toshio Marumori and Tsutomu Une
  9. Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 424-438 :
    Geometry of the Self-Consistent Collective-Coordinate Method for the Large-Amplitude Collective Motion
    Fumihiko Sakata, Toshio Marumori, Yukio Hashimoto and Tsutomu Une
  10. Progress of Theoretical Physics Vol. 74 No. 2 (1985) pp. 288-300 :
    Applicability of the Canonical Quantization Procedure for the Collective Hamiltonian Derived by the Selfconsistent-Collective-Coordinate Method
    Masayuki Matsuo and Kenichi Matsuyanagi
  11. Progress of Theoretical Physics Vol. 74 No. 6 (1985) pp. 1227-1244 :
    Microscopic Description of Anharmonic Gamma-Vibrations by Means of the Selfconsistent-Collective-Coordinate Method. I
    Masayuki Matsuo and Kenichi Matsuyanagi
  12. Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 372-386 :
    Treatment of Nucleon-Number Conservation in the Selfconsistent Collective-Coordinate Method
    Masayuki Matsuo
  13. Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 387-399 :
    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
  14. 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
  15. 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
  16. Progress of Theoretical Physics Vol. 78 No. 6 (1987) pp. 1351-1363 :
    Extraction of a Collective Submanifold for the Hénon-Heiles System
    Kunio Takabayashi
  17. Progress of Theoretical Physics Vol. 78 No. 6 (1987) pp. 1364-1391 :
    Optimum Collective Submanifold in Resonant Cases by the Self-Consistent Collective-Coordinate Method for Large-Amplitude Collective Motion
    Yukio Hashimoto, Toshio Marumori and Fumihiko Sakata
  18. 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
  19. Progress of Theoretical Physics Vol. 86 No. 2 (1991) pp. 443-467 :
    Time-Dependent Variational Approach in Terms of Squeezed Coherent States
    Yasuhiko Tsue and Yoshikazu Fujiwara
  20. Progress of Theoretical Physics Vol. 103 No. 5 (2000) pp. 959-979 :
    Adiabatic Selfconsistent Collective Coordinate Method for Large Amplitude Collective Motion in Nuclei with Pairing Correlations
    Masayuki Matsuo, Takashi Nakatsukasa and Kenichi Matsuyanagi
  21. Progress of Theoretical Physics Vol. 110 No. 1 (2003) pp. 65-91 :
    Application of the Adiabatic Self-Consistent Collective Coordinate Method to a Solvable Model of Prolate-Oblate Shape Coexistence
    Masato Kobayasi, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  22. Progress of Theoretical Physics Vol. 113 No. 1 (2005) pp. 129-152 :
    Collective Paths Connecting the Oblate and Prolate Shapes in 68Se and 72Kr Suggested by the Adiabatic Self-Consistent Collective Coordinate Method
    Masato Kobayasi, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  23. Progress of Theoretical Physics Vol. 115 No. 3 (2006) pp. 567-599 :
    Effects of Time-Odd Components in Mean Field on Large Amplitude Collective Dynamics
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  24. Progress of Theoretical Physics Vol. 117 No. 3 (2007) pp. 451-478 :
    Gauge-Invariant Formulation of the Adiabatic Self-Consistent Collective Coordinate Method
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  25. Progress of Theoretical Physics Vol. 119 No. 1 (2008) pp. 59-101 :
    Microscopic Derivation of Collective Hamiltonian by Means of the Adiabatic Self-Consistent Collective Coordinate Method
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  26. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 33-65 :
    Time Dependent Hartree-Fock and Beyond
    K. Goeke, R. Y. Cusson, F. Grümmer, P.-G. Reinhard and H. Reinhardt
  27. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 66-88 :
    A Microscopic Theory of Collective and Independent-Particle Motions
    Atsushi Kuriyama
  28. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 221-236 :
    An Attempt toward Quantum Theory of “Maximally-Decoupled” Collective Motion
    Toshio Marumori, Fumihiko Sakata, Tsutomu Une and Yukio Hashimoto
  29. Progress of Theoretical Physics Supplement No.93 (1987) pp. 1-175 :
    Time-Dependent Hartree-Fock Method and Its Extension
    Masatoshi Yamamura and Atsushi Kuriyama
  30. Progress of Theoretical Physics Supplement No.141 (2001) pp. 1-111 :
    Nonlinear Dynamics of Nuclear Collective Motion
    Fumihiko Sakata, Toshio Marumori, Yukio Hashimoto and Shi-Wei Yan