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Prog. Theor. Phys. Vol. 28 No. 1 (1962) pp. 87-104

[ Full Text PDF : FREE ACCESS (1257K) ]

On the Collective Motion in Even-Even Deformed Nuclei

Toshio Marumori, Masatoshi Yamamura and Hiroharu Bandō

Department of Physics, Kyoto University, Kyoto

(Received January 19, 1962)

Abstract:

By beginning with a spherically symmetric j-j coupling shell model Hamiltonian with a general effective two-body interaction, formulas for various empirical parameters characterizing the collective motion in even-even deformed nuclei are given with explicit reference to the effective interaction. An assumption made in this paper is the adiabatic approximation which is the same as that underlying Bohr's strong coupling model or its modified ones. Characteristics of various collective modes described in these “phenomenological models” are investigated and the physical implication underlying the models is made clear. Throughout this paper discussions are made in a general form as much as possible and, to make the understanding of our results easier, simple estimates based on the so-called “Pairing plus Quadrupole Force” are made for each case.


URL : http://ptp.ipap.jp/link?PTP/28/87/
DOI : 10.1143/PTP.28.87

[ Full Text PDF : FREE ACCESS (1257K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 30 No. 1 (1963) pp. 60-70 :
    Axially Asymmetric Deformation and Its Stability in sd-Shell Nuclei
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  2. Progress of Theoretical Physics Vol. 33 No. 6 (1965) pp. 1135-1137 :
    Note on the Vibrational Motion in Light Nuclei
    Sinobu Nagata, Kenjiro Takada and Shuji Takagi
  3. Progress of Theoretical Physics Vol. 55 No. 2 (1976) pp. 498-508 :
    Collective Hamiltonian in the Generator Coordinate Method with Local Gaussian Approximation
    Tsutomu Une, Akitsu Ikeda and Naoki Onishi
  4. Progress of Theoretical Physics Vol. 64 No. 3 (1980) pp. 911-926 :
    Application of the Improper Hartree-Bogoliubov Formalism to the Schematic Model of Odd Nuclei
    Seiya Nishiyama, Masaharu Iwasaki, Hideo Fukutome and Masatoshi Yamamura
  5. Progress of Theoretical Physics Vol. 123 No. 1 (2010) pp. 129-155 :
    A Model Analysis of Triaxial Deformation Dynamics in Oblate-Prolate Shape Coexistence Phenomena
    Koichi Sato, Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  6. Progress of Theoretical Physics Vol. 128 No. 4 (2012) pp. 693-715 :
    The BCS-Bogoliubov and the su(2)-Algebraic Approach to the Pairing Model in Many-Fermion System
    Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
  7. 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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