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Prog. Theor. Phys. Vol. 49 No. 1 (1973) pp. 181-205

[ Full Text PDF : FREE ACCESS (2206K) ]

A Microscopic Theory of the So-Called “Two-Phonon” States in Even-Even Nuclei. I

— Basic Ideas —

Nobuo Kanesaki, Toshio Marumori,* Fumihiko Sakata and Kenjiro Takada

Department of Physics, Kyushu University, Fukuoka 812
*Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188

(Received June 2, 1972)

Abstract:

It is the main purpose of this series of papers to propose a new microscopic theory of discribing the so-called “two-phonon” states in even-even nuclei, within the framework of the quasi-particle-new-Tamm-Dancoff method (including the ground-state correlations). The theorty can clearly overcome the well-known difficulties of the higher-random-phase approximation (HRPA), which have so far arrested the further development of the essential merit of HRPA superior to the boson expansion method. In addition, the spurious-state difficulty (due to the nucleon-number non-conservation of the quasi-particle representation) does not arise at all in the theory.
It is not the purpose of this paper, part I, to present a clear-out formulation of the theory, but rather to put an emphasis on the explanation of the basic idea.


URL : http://ptp.ipap.jp/link?PTP/49/181/
DOI : 10.1143/PTP.49.181

[ Full Text PDF : FREE ACCESS (2206K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 50 No. 3 (1973) pp. 867-890 :
    A Microscopic Theory of the So-Called “Two-Phonon” States in Even-Even Nuclei. II
    Nobuo Kanesaki, Toshio Marumori, Fumihiko Sakata and Kenjiro Takada
  2. Progress of Theoretical Physics Vol. 51 No. 3 (1974) pp. 779-810 :
    Theory of Collective Excitations in Spherical Odd-Mass Nuclei. III
    Atsushi Kuriyama, Toshio Marumori and Kenichi Matsuyanagi
  3. Progress of Theoretical Physics Vol. 56 No. 3 (1976) pp. 846-859 :
    In What Sense Does the “Phonon” Picture Persist in Spherical Even-Even Nuclei?
    Saburo Iwasaki, Toshio Marumori, Fumihiko Sakata and Kenjiro Takada
  4. Progress of Theoretical Physics Vol. 56 No. 4 (1976) pp. 1140-1155 :
    Structure of the Anomalous 0+' Excited States in Spherical Even-Even Nuclei with N or Z ≈40
    Saburo Iwasaki, Toshio Marumori, Fumihiko Sakata and Kenjiro Takada
  5. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 451-464 :
    Reordering into Normal Products, the Commutation Relation and the Particle-Hole Relation in the Many-Body Shell Model Bases
    Masao Nomura
  6. Progress of Theoretical Physics Vol. 61 No. 6 (1979) pp. 1649-1665 :
    The Influence of the Pairing Degrees of Freedom on the Collective Excited States
    Fumihiko Sakata and G. Holzwarth
  7. Progress of Theoretical Physics Vol. 61 No. 6 (1979) pp. 1666-1681 :
    Quasiparticle-Shell-Model Calculations of So-Called Two-Phonon States in Cd and Sn Isotopes
    Kenjiro Takada and Shigeru Tazaki
  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
  10. Progress of Theoretical Physics Supplement No.71 (1981) pp. 48-70 :
    Chapter 2. Outline of the Mode-Mode Coupling Theory
    Fumihiko Sakata, Toshio Marumori and Kenjiro Takada
  11. Progress of Theoretical Physics Supplement No.71 (1981) pp. 71-122 :
    Chapter 3. A New Microscopic Method for Describing the Elementary Modes of Excitation in the Intrinsic Subspace
    Kenjiro Takada, Kazunari Kaneko, Fumihiko Sakata and Shigeru Tazaki
  12. Progress of Theoretical Physics Supplement No.71 (1981) pp. 123-179 :
    Chapter 4. Dynamical Interplay between Pairing and Quadrupole Correlations
    Shigeru Tazaki, Kenjiro Takada, Kazunari Kaneko and Fumihiko Sakata

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