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Prog. Theor. Phys. Vol. 58 No. 5 (1977) pp. 1405-1420

[ Full Text PDF : FREE ACCESS (1057K) ]

Description of Pairing Correlation Based on a New Dyson-Like Representation

Munetake Hasegawa and Nobuo Kanesaki

Laboratory of Physics, Fukuoka Dental College, Fukuoka 814

(Received February 25, 1977)

Abstract:

By introduction of the specific operators describing the pairing collective degrees of freedom, a new Dyson-like representation of fermion space is given. The separation of pairing “collective” and “intrinsic” degrees of freedom can be done in the original fermion space. The representation leads to a finite but hermitian Hamiltonian, for example, the pairing Hamiltonian containing at most fourth-order operators. Thus one gets a powerful instrument to deal with the kinematical and dynamical effects of the pairing degrees of freedom. To see the usefulness, the pairing correlation is studied within the framework of this formulation. It is demonstrated that unified description of pairing correlation in both the normal and super-phases is possible.


URL : http://ptp.ipap.jp/link?PTP/58/1405/
DOI : 10.1143/PTP.58.1405

[ Full Text PDF : FREE ACCESS (1057K) ] Citation:

References:

  1. S. Iwasaki, T. Marumori, F. Sakata and K. Takada, Prog. Theor. Phys. 56 (1976), 846[PTP].
  2. B. Sørensen, Nucl. Phys. A 177 (1971), 465[CrossRef].
    R. J. Ascuitto and B. Sørensen, Nucl. Phys. A 186 (1972), 641[CrossRef].
    D. R. Bes, G. G. Dussel, R. A. Broglia, R. Liotta and B. R. Mottelson, Phys. Lett. B 52 (1974), 253[CrossRef].
    D. R. Bes, R. A. Broglia, G. G. Dussel and R. Liotta, Phys. Lett. B 56 (1975), 109[CrossRef].
    D. R. Bes and R. A. Broglia, Phys. Rev. C 3 (1971), 2349[APS].
    R. A. Broglia, V. Paar and D. R. Bes, Phys. Lett. B 37 (1971), 159[CrossRef].
    S. Iwasaki, T. Marumori, F. Sakata and K. Takada, Prog. Theor. Phys. 56 (1976), 1140[PTP].
  3. T. Suzuki, Prog. Theor. Phys. 55 (1976), 1680[PTP].
    T. Suzuki and K. Matsuyanagi, Prog. Theor. Phys. 56 (1976), 1156[PTP].
  4. F. J. Dyson, Phys. Rev. 102 (1956), 1217[APS].
  5. T. Holstein and H. Primakoff, Phys. Rev. 58 (1940), 1098[APS].
  6. M. Kleber, Phys. Lett. B 30 (1969), 588[CrossRef].
    B. Sørensen, Nucl. Phys. A 134 (1969), 1[CrossRef].
    D. R. Bes, R. A. Broglia, R. P. J. Perazzo and K. Kumar, Nucl. Phys. A 143 (1970), 1[CrossRef].
    G. Ripka and R. Padjen, Nucl. Phys. A 132 (1969), 489[CrossRef].
    A. Kuriyama, M. Hasegawa, S. Tazaki and R. Okamoto, Prog. Theor. Phys. 46 (1971), 1420[PTP].
  7. G. Do Dang and A. Klein, Phys. Rev. 143 (1966), 735[APS]; ibid. 147 (1966), 689[APS].
    A. Covello and E. Salusti, Phys. Rev. 162 (1967), 859[APS].
  8. Y. Miyanishi, Prog. Theor. Phys. 48 (1972), 459[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 63 No. 2 (1980) pp. 469-485 :
    Modification of Quasi-Particle Theory in Spherical Nuclei. I
    Munetake Hasegawa and Nobuo Kanesaki
  2. Progress of Theoretical Physics Vol. 64 No. 3 (1980) pp. 897-910 :
    Modification of Quasi-Particle Theory in Spherical Nuclei. III
    Munetake Hasegawa and Nobuo Kanesaki
  3. Progress of Theoretical Physics Vol. 68 No. 5 (1982) pp. 1608-1626 :
    A New Operator Representation of Collective States Composed of J=0 and J=2 Nucleon Pairs
    Munetake Hasegawa, Kazunari Kaneko and Nobuo Kanesaki
  4. Progress of Theoretical Physics Vol. 81 No. 1 (1989) pp. 104-116 :
    Mapping Theory for the Interacting-Boson-Model-3
    Munetake Hasegawa

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