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Prog. Theor. Phys. Vol. 52 No. 2 (1974) pp. 538-549

[ Full Text PDF : FREE ACCESS (1005K) ]

On the New Kinematical Constraints of the Pair Operators in the Algebraic Approach to the Theory of Collective Motion

Masatoshi Yamamura

Department of Physics, Kyoto University, Kyoto

(Received February 12, 1974)

Abstract:

New kinematical constraints of the pair operators in the algebraic approach to the theory of collective motion are proposed. These relations are the natural extension, to the operator forms, of the well-known constraints of the generalized density matrix in the Hartree-Bogoliubov theory. On the basis of the new constraints, a microscopic theory of rotational motion given by Belyaev and Zelevinsky is reconstructed.


URL : http://ptp.ipap.jp/link?PTP/52/538/
DOI : 10.1143/PTP.52.538

[ Full Text PDF : FREE ACCESS (1005K) ] Citation:

References:

  1. T. Marumori, M. Yamamura, Y. Miyanishi and S. Nishiyama, Prog. Theor. Phys. Suppl. Extra Number (1968), 179[PTP]; Yadern. Fis. 9 (1969), 501; Sov. J. Nucl. Phys. 9 (1969), 287.
  2. G. J. Dreiss and A. Klein, Nucl. Phys. A 139 (1969), 81[CrossRef].
    C. Dasso, F. Krejs, A. Klein and P. K. Chattopadhyay, preprint UPR-0017N (1973).
    A. Klein, preprint UPR-0021N (1973).
  3. D. H. E. Gross and M. Yamamura, Nucl. Phys. A 140 (1970), 625[CrossRef].
    M. Yamamura, Prog. Theor. Phys. 46 (1971), 148[PTP]; ibid. 49 (1973), 1052[PTP].
    S. Nishiyama and M. Yamamura, Prog. Theor. Phys. 47 (1972), 134[PTP]; ibid. 47 (1972), 892[PTP]; ibid. 50 (1973), 137[PTP].
    M. Matsuzaki, M. Iwasaki and M. Yamamura, Prog. Theor. Phys. 48 (1972), 2252[PTP]; ibid. 51 (1974), 506[PTP].
  4. A. Kuriyama and T. Marumori, Soryushiron Kenkyu (mimeographed circular in Japanese) 42 (1970), C68.
  5. G. Schalow and M. Yamamura, Nucl. Phys. A 161 (1971), 93[CrossRef].
    M. Iwasaki and M. Yamamura, Prog. Theor. Phys. 46 (1971), 1440[PTP].
  6. S. T. Belyaev and V. G. Zelevinsky, Yadern. Fis. 11 (1970), 741; Sov. J. Nucl. Phys. 11 (1970), 416.
  7. S. T. Belyaev and V. G. Zelevinsky, Nucl. Phys. 39 (1962), 582[CrossRef].
  8. T. Marumori, M. Yamamura and A. Tokunaga, Prog. Theor. Phys. 31 (1964), 1009[PTP].
  9. E. R. Marshalek and G. Holzwarth, Nucl. Phys. A 191 (1972), 438[CrossRef].

Citing Article(s) :

  1. 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
  2. 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
  3. Progress of Theoretical Physics Vol. 55 No. 6 (1976) pp. 1798-1811 :
    A Microscopic Theory of Rotational Motion in Deformed Odd-Mass Nucleus
    Masaharu Iwasaki and Masatoshi Yamamura
  4. 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
  5. 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
  6. Progress of Theoretical Physics Vol. 57 No. 1 (1977) pp. 124-134 :
    A Semi-Microscopic Derivation of Coupling between Rotational and Intrinsic Motions. II
    Atsushi Kuriyama
  7. Progress of Theoretical Physics Vol. 57 No. 5 (1977) pp. 1554-1571 :
    A New Fermion Many-Body Theory Based on the SO(2N+1) Lie Algebra of the Fermion Operators
    Hideo Fukutome, Masatoshi Yamamura and Seiya Nishiyama
  8. Progress of Theoretical Physics Supplement No.58 (1975) pp. 1-8 :
    Introduction
    Atsushi Kuriyama, Toshio Marumori and Kenichi Matsuyanagi
  9. 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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