HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 76 (1986) > Number 2
| Next Article >

Prog. Theor. Phys. Vol. 76 No. 2 (1986) pp. 372-386

[ Full Text PDF : FREE ACCESS (771K) ]

Treatment of Nucleon-Number Conservation in the Selfconsistent Collective-Coordinate Method

— Coupling between Large-Amplitude Collective Motion and Pairing Rotation —

Masayuki Matsuo

Department of Physics, Kyoto University, Kyoto 606

(Received March 20, 1986)

Abstract:

The selfconsistent collective-coordinate (SCC) method is extended in order to microscopically describe large-amplitude collective motions in superconducting nuclei. To restore the nucleon-number conservation violated by the use of the quasipartcle representation, the collective variables representing the pairing rotation are explicitly introduced. The coupling between the large-amplitude collective motion and the pairing rotation is treated in such a way that unphysical deviation of the average nucleon number from the ground-state value is eliminated automatically. It is shown that the basic equations of the extended version of the SCC method can be solved by an iterative method similar to the well-known (η*, η) expansion. Applicability of the proposed method is investigated for an O(4) model.


URL : http://ptp.ipap.jp/link?PTP/76/372/
DOI : 10.1143/PTP.76.372

[ Full Text PDF : FREE ACCESS (771K) ] Citation:

References:

  1. T. Marumori, T. Maskawa, F. Sakata and A. Kuriyama, Prog. Theor. Phys. 64 (1980), 1294[PTP].
  2. M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 74 (1985), 1227[PTP].
    M. Matsuo, Y. R. Shimizu and K. Matsuyanagi, Proc. of the Niels Bohr Centenial Conference on Nuclear Structure, Coopenhagen 1985, ed. R. Broglia, G. Hageman and B. Herskind (North-Holland, 1985), p. 161.
    M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 76 (1986), 93[PTP].
  3. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. 67 (1982), 852[PTP].
    A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 67 (1982), 1122[PTP].
  4. A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 70 (1983), 1675[PTP].
    M. Yamamura, A. Kuriyama and S. Iida, Prog. Theor. Phys. 71 (1984), 109[PTP].
  5. T. Marumori, Prog. Theor. Phys. 57 (1977), 112[PTP].
  6. R. Piepenbring, B. Silvestre-Brac and Z. Szymanski, Nucl. Phys. A439 (1980), 77[Elsevier].
  7. K. Matsuyanagi, Prog. Theor. Phys. 67 (1982), 1441[PTP].
  8. Y. Mizobuchi, Prog. Theor. Phys. 65 (1981), 1450[PTP].
  9. M. Matsuo and K. Matsuyanagi, Prog. Theor. Phys. 74 (1985), 288[PTP].
  10. G. Holzwarth, D. Jansen and R. V. Jolos, Nucl. Phys. A261 (1976), 1[Elsevier].
  11. S. Iwasaki, F. Sakata and K. Takada, Prog. Theor. Phys. 57 (1977), 1289[PTP].
  12. S. G. Lie and G. Holzwarth, Phys. Rev. C12 (1975), 1035[APS].
  13. S. Iida and M. Yamamura, Prog. Theor. Phys. 70 (1985), 790[PTP].
    S. Iida, Prog. Theor. Phys. 73 (1985), 374[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 77 No. 5 (1987) pp. 1192-1208 :
    Non-Unitary Realization of the Selfconsistent Collective-Coordinate Method
    Yoshifumi R. Shimizu and Kenjiro Takada
  2. Progress of Theoretical Physics Vol. 78 No. 3 (1987) pp. 591-608 :
    Microscopic Description of Anharmonic Gamma-Vibrations by Means of the Selfconsistent-Collective-Coordinate Method. III
    Masayuki Matsuo and Kenichi Matsuyanagai
  3. 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
  4. Progress of Theoretical Physics Vol. 83 No. 3 (1990) pp. 358-362 :
    A Microscopic Description of Two-Phonon States in Ru Isotopes by Means of the Selfconsistent-Collective-Coordinate Method
    Hirokazu Aiba
  5. Progress of Theoretical Physics Vol. 84 No. 5 (1990) pp. 908-930 :
    Microscopic Description of Two-Phonon States in Ru and Se Isotopes by Means of the Selfconsistent-Collective-Coordinate Method
    Hirokazu Aiba
  6. Progress of Theoretical Physics Vol. 85 No. 2 (1991) pp. 281-303 :
    Diabatic Approach to Shape Coexistence Phenomena in Semi-Magic Nuclei. I
    Takahiro Fukui, Masayuki Matsuo and Kenichi Matsuyanagi
  7. Progress of Theoretical Physics Vol. 85 No. 6 (1991) pp. 1235-1270 :
    Microscopic Description of Nuclear Collective Rotation by Means of the Self-Consistent Collective Coordinate Method
    Jun Terasaki, Toshio Marumori and Fumihiko Sakata
  8. Progress of Theoretical Physics Vol. 88 No. 3 (1992) pp. 529-536 :
    A Systematics of Coupling Structure in the S-Band
    Jun Terasaki
  9. Progress of Theoretical Physics Vol. 89 No. 5 (1993) pp. 995-1019 :
    Nuclear Collective Dynamics of Shape Phase Transition. I
    Kazuya Yamada
  10. Progress of Theoretical Physics Vol. 103 No. 5 (2000) pp. 959-979 :
    Adiabatic Selfconsistent Collective Coordinate Method for Large Amplitude Collective Motion in Nuclei with Pairing Correlations
    Masayuki Matsuo, Takashi Nakatsukasa and Kenichi Matsuyanagi
  11. Progress of Theoretical Physics Vol. 110 No. 1 (2003) pp. 65-91 :
    Application of the Adiabatic Self-Consistent Collective Coordinate Method to a Solvable Model of Prolate-Oblate Shape Coexistence
    Masato Kobayasi, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  12. Progress of Theoretical Physics Vol. 113 No. 1 (2005) pp. 129-152 :
    Collective Paths Connecting the Oblate and Prolate Shapes in 68Se and 72Kr Suggested by the Adiabatic Self-Consistent Collective Coordinate Method
    Masato Kobayasi, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  13. Progress of Theoretical Physics Vol. 115 No. 3 (2006) pp. 567-599 :
    Effects of Time-Odd Components in Mean Field on Large Amplitude Collective Dynamics
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  14. Progress of Theoretical Physics Vol. 117 No. 3 (2007) pp. 451-478 :
    Gauge-Invariant Formulation of the Adiabatic Self-Consistent Collective Coordinate Method
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  15. Progress of Theoretical Physics Vol. 119 No. 1 (2008) pp. 59-101 :
    Microscopic Derivation of Collective Hamiltonian by Means of the Adiabatic Self-Consistent Collective Coordinate Method
    Nobuo Hinohara, Takashi Nakatsukasa, Masayuki Matsuo and Kenichi Matsuyanagi
  16. Progress of Theoretical Physics Supplement No.141 (2001) pp. 285-327 :
    Diabatic Mean-Field Description of Rotational Bands in Terms of the Selfconsistent Collective Coordinate Method
    Yoshifumi R. Shimizu and Kenichi Matsuyanagi

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.