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Prog. Theor. Phys. Vol. 33 No. 2 (1965) pp. 199-214

[ Full Text PDF : FREE ACCESS (925K) ]

On the Phonon-Quasiparticle Interactions in Spherical Odd Nuclei

Masatoshi Yamamura

Department of Physics, Kyoto University, Kyoto

(Received October 23, 1964)

Abstract:

A systematical method which enables us to derive the phonon-quasiparticle interactions in spherical odd nuclei from the original nuclear Hamiltonian is developed from the standpoint of the microscopic theory. The fundamental idea is an extension, to the spherical odd nuclei, of the method which has been proposed by Marumori, Tokunaga and the present author with the purpose of analysing the “anharmonicity” on the collective oscillations in spherical even nuclei. In the conventional model of spherical odd nuclei, only one type of the interaction is assumed. According to our theory, however, we can find the existence of various types of the interactions some of which seem to have interesting physical meaning. It is not our purpose to go into detailed quantitative calculations, but rather to develop the basic idea.


URL : http://ptp.ipap.jp/link?PTP/33/199/
DOI : 10.1143/PTP.33.199

[ Full Text PDF : FREE ACCESS (925K) ] Citation:

References:

  1. T. Marumori, Prog. Theor. Phys. 24 (1960), 331[PTP].
    R. Arvieu and M. Venevori, Compt. rend. 250 (1960), 992; ibid. 250 (1960), 2155.
    M. Baranger, Phys. Rev. 120 (1960), 957[APS].
    S. T. Beliaev, Sov. Phys. -JETP 12 (1961), 968.
  2. S. Yoshida, Nucl. Phys. 38 (1962), 380[CrossRef].
    L. S. Kisslinger and R. A. Sorensen, Rev. Mod. Phys. 35 (1963), 853[APS].
    (The other papers on this problem are listed in this paper.)
  3. T. Marumori, M. Yamamura and Tokunaga, Prog. Theor. Phys. 31 (1964), 1009[PTP].
  4. T. Usui, Prog. Theor. Phys. 23 (1960), 787[PTP].
  5. S. T. Beliaev and V. G. Zelevinsky, Nucl. Phys. 39 (1962), 582[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1680-1683 :
    Representation of Nucleon Operators in the Product Space Composed of Pairing Bosons and “Quasi-Particles”
    Tōru Suzuki
  2. Progress of Theoretical Physics Vol. 56 No. 4 (1976) pp. 1156-1173 :
    Interplay of Pairing and Intrinsic Modes of Excitation in Nuclei. I
    Tōru Suzuki and Kenichi Matsuyanagi
  3. Progress of Theoretical Physics Vol. 63 No. 2 (1980) pp. 486-497 :
    A Possible Quantization of Time-Dependent Hartree-Bogoliubov Theory Based on the SO(2N+1) Algebra
    Masatoshi Yamamura
  4. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 2130-2146 :
    Boson Expansion for Many-Fermion System as a Canonical Theory with Constraints. I
    Atsushi Kuriyama and Masatoshi Yamamura
  5. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 2147-2160 :
    Boson Expansion for Many-Fermion System as a Canonical Theory with Constraints. II
    Masatoshi Yamamura and Atsushi Kuriyama
  6. Progress of Theoretical Physics Vol. 67 No. 3 (1982) pp. 852-865 :
    A Classical Theory of Pairing Rotation and Intrinsic Degrees of Freedom
    Masatoshi Yamamura and Atsushi Kuriyama
  7. Progress of Theoretical Physics Vol. 82 No. 2 (1989) pp. 338-359 :
    Collective Vibrations of Spherical Nuclei in Dynamical Nuclear Field Theory
    Teruo Kishimoto and Tetsuo Kammuri
  8. Progress of Theoretical Physics Vol. 86 No. 1 (1991) pp. 151-166 :
    Boson-Fermion Expansion of Correlated Pair Modes
    Kimikazu Taniguchi and Yoshinao Miyanishi
  9. Progress of Theoretical Physics Supplement No.58 (1975) pp. 138-159 :
    Chapter 5. Microscopic Structure of Breaking and Persistency of “Phonon-plus-Odd-Quasi-Particle Picture”
    Atsushi Kuriyama, Toshio Marumori, Kenichi Matsuyanagi, Ryoji Okamoto and Tōru Suzuki
  10. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 89-114 :
    Boson-Fermion Expansions
    E. R. Marshalek
  11. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 271-281 :
    An Extension of TDHF and Boson-Fermion Expansion
    Masatoshi Yamamura
  12. 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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