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Prog. Theor. Phys. Vol. 67 No. 4 (1982) pp. 1122-1134

[ Full Text PDF : FREE ACCESS (459K) ]

A Quantal Theory of Pairing Rotation, Pairing Vibrations and Independent-Particle Motions

Atsushi Kuriyama and Masatoshi Yamamura*

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

(Received September 19, 1981)

Abstract:

A microscopic theory is proposed to describe not only the pairing rotation, the pairing vibrations and the independent-particle motions, but also their mutual couplings in a consistent manner. With the aid of a BCS-type wave packet and a quasi-particle coherent state, the quantal system is translated into a corresponding classical one. First, we develop a canonical form in a classical image. This classical system obeys certain constraints, by which the double counting in the degrees of freedom is avoided. Then, the quantization is performed with the use of the Dirac theory of a canonical system with constraints. The original fermion operators themselves are expressed in terms of three types of degrees of freedom, which correspond to the pairing rotation, the pairing vibrations and the independent-quasi-particle motions, respectively.


URL : http://ptp.ipap.jp/link?PTP/67/1122/
DOI : 10.1143/PTP.67.1122

[ Full Text PDF : FREE ACCESS (459K) ] Citation:

References:

  1. T. Suzuki, M. Fuyuki and K. Matsuyanagi, Prog. Theor. Phys. 65 (1981), 1667[PTP].
  2. M. Yamamura and A. Kuriyama, Prog. Theor. Phys. 67 (1982), 852[PTP].
  3. 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].
  4. P. A. M. Dirac, Can. J. Math. 2 (1950), 129.
  5. R. Casalbuoni, Nuovo Cim. A 33 (1976), 467; ibid. 33 (1976), 482.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 67 No. 4 (1982) pp. 1135-1148 :
    A Possible Canonical Theory for Description of Pairing Correlation
    Masatoshi Yamamura and Atsushi Kuriyama
  2. 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
  3. 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
  4. 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
  5. Progress of Theoretical Physics Vol. 71 No. 1 (1984) pp. 122-130 :
    Canonical Formulation of Time-Dpendent Hartree-Fock Method
    Atsushi Kuriyama and Masatoshi Yamamura
  6. 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
  7. 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
  8. Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 372-386 :
    Treatment of Nucleon-Number Conservation in the Selfconsistent Collective-Coordinate Method
    Masayuki Matsuo
  9. Progress of Theoretical Physics Vol. 76 No. 5 (1986) pp. 1047-1059 :
    An Extension of Time-Dependent Hatree-Fock Theory Including Grassmann Variables. I
    Masatoshi Yamamura and Atsushi Kuriyama
  10. Progress of Theoretical Physics Vol. 77 No. 1 (1987) pp. 94-105 :
    Equations of Collective Submanifold for Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom. III
    Masatoshi Yamamura and Atsushi Kuriyama
  11. 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
  12. 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
  13. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 66-88 :
    A Microscopic Theory of Collective and Independent-Particle Motions
    Atsushi Kuriyama
  14. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 271-281 :
    An Extension of TDHF and Boson-Fermion Expansion
    Masatoshi Yamamura
  15. Progress of Theoretical Physics Supplement No.93 (1987) pp. 1-175 :
    Time-Dependent Hartree-Fock Method and Its Extension
    Masatoshi Yamamura and Atsushi Kuriyama

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