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Prog. Theor. Phys. Vol. 62 No. 3 (1979) pp. 690-705

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Dynamical Interplay of Pairing and Quadrupole Modes in Transitional Nuclei. II

Tōru Suzuki, Masahiko Fuyuki* and Kenichi Matsuyanagi*

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606
*Department of Physics, Kyoto University, Kyoto 606

(Received March 27, 1979)

Abstract:

We develop a microscopic method to treat the mode-mode couplings between many-quasiparticle excitations and pairing rotations. The canonical transformation method with auxiliary number- and angle-variables is employed to extract the pairing rotational degree of freedom without violating the Pauli principle. In the case of single j-shell, the mode-mode couplings can be treated exactly, the analytical expressions of which are used to test the convergence of the perturbative expansion of the coupling in terms of 1/ Ω.


URL : http://ptp.ipap.jp/link?PTP/62/690/
DOI : 10.1143/PTP.62.690

[ Full Text PDF : FREE ACCESS (1110K) ] Citation:


References:

  1. T. Suzuki, M. Fuyuki and K. Matsuyanagi, Prog. Theor. Phys. 61 (1979), 1682[PTP].
  2. A. Bohr, Nuclear Structure: Dubna Symposium 1968 (International Atomic Energy Agency, Vienna, 1969), p. 179.
  3. A. Bohr and B. R. Mottelson, Nuclear Structure, vol. II (Benjamin, 1975).
  4. D. R. Bès and R. A. Broglia, Proceedings of the International School of Physics, “Enrico Fermi”, course LXIX (1977), p. 55.
  5. K. Hara and S. Kusuno, Nucl. Phys. A 245 (1975), 147[CrossRef].
  6. E. R. Marshalek and J. Weneser, Phys. Rev. C 2 (1970), 1682[APS].
  7. D. J. Thouless, Nucl. Phys. 21 (1960), 225[CrossRef]; ibid. 22 (1961), 78[CrossRef].
  8. T. Kammuri, Prog. Theor. Phys. 37 (1967), 1131[PTP].
  9. E. R. Marshalek and J. Weneser, Ann. of Phys. 53 (1969), 569[CrossRef].
  10. R. Beck, M. Kleber and H. Schmidt, Z. Phys. 250 (1972), 155.
  11. S. T. Belyaev and V. G. Zelevinsky, Yadern Fiz. 16 (1972), 1195; Sov. J. Nucl. Phys. 16 (1973), 657.
  12. R. V. Jolos, V. G. Kartavenko and V. Rybarska, Teor, Mat. Fiz. 20 (1974), 353; Theor. Math. Phys. 20 (1975), 873.
  13. V. Alessandrini, D. R. Bès and B. Machet, Phys. Lett. B 80 (1978), 9[CrossRef]; Nucl. Phys. B 142 (1978), 489[CrossRef].
  14. S. Hayakawa and T. Marumori, Prog. Theor. Phys. 18 (1957), 396[PTP].
  15. A. Kuriyama, T. Marumori, K. Matsuyanagi, F. Sakata and T. Suzuki, Prog. Theor. Phys. Suppl. No. 58 (1975), 9[PTP].
  16. T. Suzuki and K. Matsuyanagi, Prog. Theor. Phys. 56 (1976), 1156[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1667-1683 :
    Dynamical Interplay of Pairing and Quadrupole Modes in Transitional Nuclei. III
    Tōru Suzuki, Masahiko Fuyuki and Kenichi Matsuyanagi
  2. 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
  3. Progress of Theoretical Physics Vol. 67 No. 5 (1982) pp. 1441-1455 :
    Attenuation Factors for B(E2) in the Microscopic Description of Multiphonon States
    Kenichi Matsuyanagi
  4. Progress of Theoretical Physics Vol. 70 No. 3 (1983) pp. 790-808 :
    A Schematic Model of Large Amplitude Collective Motions with an Exact Classical Solution. I
    Shinji Iida and Masatoshi Yamamura
  5. Progress of Theoretical Physics Vol. 73 No. 2 (1985) pp. 374-385 :
    A Schematic Model of Large Amplitude Collective Motions with an Exact Classical Solution. II
    Shinji Iida
  6. Progress of Theoretical Physics Vol. 74 No. 6 (1985) pp. 1245-1263 :
    Pair Rotation in the Dynamical Nuclear Field Theory
    Teruo Kishimoto and Tetsuo Kammuri
  7. Progress of Theoretical Physics Vol. 77 No. 2 (1987) pp. 332-346 :
    Collective Pair Excitations in Dynamical Nuclear Field Theory. I
    Teruo Kishimoto and Tetsuo Kammuri
  8. Progress of Theoretical Physics Vol. 81 No. 3 (1989) pp. 690-705 :
    Analysis of Collective-Noncollective Couplings in a Degenerate Many j-Shell Model
    Hirokazu Aiba and Kenichi Matsuyanagi
  9. Progress of Theoretical Physics Vol. 83 No. 2 (1990) pp. 175-179 :
    Intrinsic Operators Decoupled with the Pairing Rotation
    Kimikazu Taniguchi and Yoshinao Miyanishi
  10. 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
  11. Progress of Theoretical Physics Supplement No.125 (1996) pp. 49-64 :
    Bosonization from Quasiparticle Representation and Effects of Nucleon-Number Conservation
    Hitoshi Nakada