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Prog. Theor. Phys. Vol. 52 No. 6 (1974) pp. 1819-1840

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Theory of Collective Excitations in Spherical Odd-Mass Nuclei. IV

— Formulation in the General Many-j-Shell Model —

Atsushi Kuriyama, Toshio Marumori,* Kenichi Matsuyanagi** and Ryoji Okamoto

Department of Physics, Kyushu University, Fukuoka 812
*Institute for Nuclear Study, University of Tokyo, Tanashi, Tokyo 188
**Department of Physics, Kyoto University, Kyoto 606

(Received May 22, 1974)

Abstract:

The aim of this paper is to give a systematic formulation of microscopic description of the collective excitations in spherical odd-mass nuclei. The theory can be regarded as a natural extension of the conventional quasi-particle-random-phase approximation for spherical even-mass nuclei into the case of spherical odd-mass nuclei. In the same manner as the conventional random-phase approximation for even-mass nuclei leads us to the concept of “phonon”, the theory necessarily leads us to the concept of a new kind of fermion-type collective excitation mode. Recent rapid accumulation of experimental data seems to be revealing the systematic presence of this kind of collective mode in many odd-mass nuclei.


URL : http://ptp.ipap.jp/link?PTP/52/1819/
DOI : 10.1143/PTP.52.1819

[ Full Text PDF : FREE ACCESS (1621K) ] Citation:


References:

  1. N. Kanesaki, A. Kuriyama, T. Marumori, K. Matsuyanagi, F. Sakata and K. Takada, Proceedings of the Symposium on In-Beam Spectroscopy with Heavy Ions, September 1972; IPCR Cyclotron Progress Report, Supplement 2 (1973), 69.
  2. A. Kuriyama, T. Marumori and K. Matsuyanagi, Prog. Theor. Phys. 45 (1971), 784[PTP].
  3. A. Kuriyama, T. Marumori and K. Matsuyanagi, Prog. Theor. Phys. 47 (1972), 498[PTP].
  4. A. Kuriyama, T. Marumori and K. Matsuyanagi, Prog. Theor. Phys. 51 (1974), 779[PTP].
  5. A. Kuriyama, T. Marumori, K. Matsuyanagi and R. Okamoto, Prog. Theor. Phys. 53 (1975), 489[PTP].
    References on the experimental data are found in this paper.
  6. For exmple, see R. D. Lawson and M. H. Macfarlane, Nucl. Phys. 66 (1965), 80[CrossRef];
    M. Ichimura, Progress in Nuclear Physics (Pergamon Press), Vol. 10 (1969), p. 307.
  7. L. S. Kisslinger and R. A. Sorensen, Rev. Mod. Phys. 35 (1963), 853[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 53 No. 2 (1975) pp. 489-503 :
    Microscopic Structure of a New Type of Collective Excitation in Odd-Mass Mo, Ru, I, Cs and La Isotopes
    Atsushi Kuriyama, Toshio Marumori, Kenichi Matsuyanagi and Ryoji Okamoto
  2. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1691-1710 :
    Gamow-Teller Beta Decay in Spherical Odd-Mass Nuclei
    Masahiko Fuyuki
  3. Progress of Theoretical Physics Supplement No.58 (1975) pp. 1-8 :
    Introduction
    Atsushi Kuriyama, Toshio Marumori and Kenichi Matsuyanagi
  4. Progress of Theoretical Physics Supplement No.60 (1976) pp. 56-62 :
    Gamow-Teller Beta Transition between Collective and Single-Particle States in Spherical Odd-Mass Nuclei
    Masahiko Fuyuki