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Prog. Theor. Phys. Vol. 50 No. 1 (1973) pp. 137-146

[ Full Text PDF : FREE ACCESS (778K) ]

A Note on Microscopic Description of Rotational Motion

Masatoshi Yamamura and Seiya Nishiyama*

Department of Physics, Kyoto University, Kyoto
*Department of Physics, Kochi University, Kochi

(Received February 5, 1973)

Abstract:

Theoretical framework of the method developed by Gross and one of the present authors (M. Y.) for the description of rotational motion is shown to be completely equivalent to that of Bohr's rotational model for the case of ground-state rotational band of deformed even nuclei. For simplicity, we restrict ourselves to the case of single-j shell system of even identical particles with a quadrupole interaction.


URL : http://ptp.ipap.jp/link?PTP/50/137/
DOI : 10.1143/PTP.50.137

[ Full Text PDF : FREE ACCESS (778K) ] Citation:

References:

  1. D. H. E. Gross and M. Yamamura, Nucl. Phys. A 140 (1970), 625 [CrossRef](referred to as (I)).
  2. M. Yamamura, Prog. Theor. Phys. 46 (1971), 148[PTP].
  3. S. Nishiyama and M. Yamamura, Prog. Theor. Phys. 47 (1972), 134[PTP].
  4. M. Matsuzaki, M. Iwasaki and M. Yamamura, Prog. Theor. Phys. 48 (1972), 2252[PTP].
  5. A. Bohr, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 26 (1952), nr. 14.
    A. Bohr and B. Mottelson, Kgl. Danske Videnskab. Selskab, Mat.-fys. Medd. 27 (1953), nr. 16.
  6. M. Yamamura and S. Nishiyama, Prog. Theor. Phys. 47 (1972), 892[PTP].
  7. Y. Shono, Prog. Theor. Phys. 29 (1963), 562[PTP]; ibid. 44 (1970), 553[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 51 No. 2 (1974) pp. 506-517 :
    A Microscopic Theory of Rotational Motion in Deformed Odd-Mass Nuclei. II
    Masaharu Iwasaki, Moichiro Matsuzaki and Masatoshi Yamamura
  2. Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 538-549 :
    On the New Kinematical Constraints of the Pair Operators in the Algebraic Approach to the Theory of Collective Motion
    Masatoshi Yamamura
  3. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1392-1405 :
    A Microscopic Description of Nuclear Rotational Motion in Terms of Solid Harmonics Expansion of the Pair Operator. I
    Akihisa Hayashi and Masatoshi Yamamura
  4. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1146-1155 :
    On an Algebraic Foundation of Kinematical Constraints of Pair Operators in a Many-Nucleon System
    Seiya Nishiyama
  5. Progress of Theoretical Physics Vol. 56 No. 1 (1976) pp. 124-134 :
    An a priori Quantized Time-Dependent Hartree-Bogoliubov Theory
    Masatoshi Yamamura and Seiya Nishiyama
  6. Progress of Theoretical Physics Vol. 56 No. 6 (1976) pp. 1786-1801 :
    A Semi-Microscopic Derivation of Coupling between Rotational and Intrinsic Motions. I
    Atsushi Kuriyama
  7. Progress of Theoretical Physics Supplement No.58 (1975) pp. 1-8 :
    Introduction
    Atsushi Kuriyama, Toshio Marumori and Kenichi Matsuyanagi
  8. Progress of Theoretical Physics Supplement No.71 (1981) pp. 1-47 :
    Chapter 1. Present Status of the Microscopic Study of Low-Lying Collective States in Spherical and Transitional Nuclei
    Toshio Marumori, Kenjiro Takada and Fumihiko Sakata

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