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Prog. Theor. Phys. Vol. 46 No. 5 (1971) pp. 1440-1455

[ Full Text PDF : FREE ACCESS (968K) ]

On the Ground-State Correlations of Vibrating Closed-Shell Nucleus Due to the Residual Interaction

Masaharu Iwasaki and Masatoshi Yamamura

Department of Physics, Kyoto University, Kyoto

(Received May 25, 1971)

Abstract:

The strength of ground-state correlations calculated from the RPA with quasi-boson approximation is known to differ by a factor of two from that calculated in various other methods. This contradiction is investigated in detail in the case of closed-shell nucleus with any single multi-pole interaction. It is proved that the ground-state correlations calculated by the RPA with the quasi-boson approximation are correct if only collective states are included, as suggested by Rowe, in the case of negligible exchange matrix elements of the interaction.


URL : http://ptp.ipap.jp/link?PTP/46/1440/
DOI : 10.1143/PTP.46.1440

[ Full Text PDF : FREE ACCESS (968K) ] Citation:

References:

  1. D. J. Rowe, Phys. Rev. 175 (1968), 1283[APS].
  2. R. E. Johnson, R. M. Dreizler and A. Klein, Phys. Rev. 186 (1969), 1289[APS].
  3. J. da Providencia and J. Weneser, Phys. Rev. C 1 (1970), 825[APS].
  4. G. Schalow and M. Yamamura, Nucl. Phys. A 161 (1971), 93[CrossRef].
  5. G. J. Dreiss and A. Klein, Nucl. Phys. A 139 (1969), 81[CrossRef].

Citing Article(s) :

  1. 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
  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. 56 No. 1 (1976) pp. 124-134 :
    An a priori Quantized Time-Dependent Hartree-Bogoliubov Theory
    Masatoshi Yamamura and Seiya Nishiyama
  4. 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
  5. Progress of Theoretical Physics Supplement No.58 (1975) pp. 1-8 :
    Introduction
    Atsushi Kuriyama, Toshio Marumori and Kenichi Matsuyanagi
  6. 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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