HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 67 (1982) > Number 4
| Next Article >

Prog. Theor. Phys. Vol. 67 No. 4 (1982) pp. 1135-1148

[ Full Text PDF : FREE ACCESS (542K) ]

A Possible Canonical Theory for Description of Pairing Correlation

— Comparison with the BCS Plus RPA Approach —

Masatoshi Yamamura and Atsushi Kuriyama*

Department of Physics, Kyoto University, Kyoto 606
*Department of Physics, Kyushu University 33, Fukuoka 812

(Received October 22, 1981)

Abstract:

In order to go beyond the conventional BCS plus RPA approach for the description of pairing correlation, we have developed a possible canonical theory. In this theory, we can exactly get rid of the well-known difficulty of the particle-number non-conservation in the BCS approximation. We give, in this paper, its approximate form in order to clarify the relation with the conventional approach. We show that our theory in its approximate form can reproduce the same result as that obtained by the BCS plus RPA approach. The equivalence between the approach developed by Suzuki et al. and the present one is also shown, within the RPA order at least. We give some perspective for the description of higher-order non-linear effect, such as the coupling between the pairing rotation and pairing vibration, in conclusion.


URL : http://ptp.ipap.jp/link?PTP/67/1135/
DOI : 10.1143/PTP.67.1135

[ Full Text PDF : FREE ACCESS (542K) ] Citation:

References:

  1. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. 65 (1981), 550[PTP]; ibid. 65 (1981), 755[PTP]; ibid. 66 (1981), 2147[PTP].
    A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 65 (1981), 759[PTP]; ibid. 65 (1981) 1094[PTP]; ibid. 66 (1981), 2130[PTP].
  2. P. A. M. Dirac, Can. J. Math. 2 (1950), 129.
  3. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. 67 (1982), 852[PTP].
  4. A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 67 (1982), 1122[PTP].
  5. T. Suzuki, M. Fuyuki and K. Matsuyanagi, Prog. Theor. Phys. 65 (1981), 1667[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 69 No. 2 (1983) pp. 681-684 :
    A Canonical Coordinate System Suitable for Adiabatic Treatment of Collective Motion
    Atsushi Kuriyama and Masatoshi Yamamura
  2. 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
  3. Progress of Theoretical Physics Vol. 70 No. 6 (1983) pp. 1675-1678 :
    Canonicity Condition and Its Favourite Form of Collective Hamiltonian
    Atsushi Kuriyama and Masatoshi Yamamura
  4. Progress of Theoretical Physics Vol. 72 No. 3 (1984) pp. 513-533 :
    Generalized Center of Mass and Relative Motions in Classical Many-Body System
    Masatoshi Yamamura, Atsushi Kuriyama and Shinji Iida
  5. 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
  6. Progress of Theoretical Physics Vol. 82 No. 4 (1989) pp. 744-759 :
    An Application of the Extended TDHF Method to the 0+ Intruder States in Even Pb Nuclei
    Masatoshi Yamamura, Marc Huyse, Piet Van Duppen, and Kris Heyde
  7. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 66-88 :
    A Microscopic Theory of Collective and Independent-Particle Motions
    Atsushi Kuriyama
  8. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 271-281 :
    An Extension of TDHF and Boson-Fermion Expansion
    Masatoshi Yamamura
  9. Progress of Theoretical Physics Supplement No.93 (1987) pp. 1-175 :
    Time-Dependent Hartree-Fock Method and Its Extension
    Masatoshi Yamamura and Atsushi Kuriyama

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.