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Prog. Theor. Phys. Vol. 67 No. 3 (1982) pp. 852-865

[ Full Text PDF : FREE ACCESS (533K) ]

A Classical Theory of Pairing Rotation and Intrinsic Degrees of Freedom

— A Canonical Form with Constraints —

Masatoshi Yamamura and Atsushi Kuriyama*

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

(Received September 9, 1981)

Abstract:

A canonical theory with constraints is proposed, in the classical framework, for describing pairing rotation and intrinsic degrees of freedom. The basic idea is a direct translation of a theory developed by the present authors for the case of particle-hole pair vibration. The total particle-number and the phase angle for the rotation and the Grassmann numbers for the intrinsic degrees of freedom are used as the canonical variables, the number of which exceeds apparently the original one. Certain constraints play the role of avoiding the double counting of the degrees of freedom concerning the extra variables. Hamiltonian and other physical quantities can be expressed in terms of the canonical variables and their forms can be well understood in the language of two-dimensional rotor model.


URL : http://ptp.ipap.jp/link?PTP/67/852/
DOI : 10.1143/PTP.67.852

[ Full Text PDF : FREE ACCESS (533K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 67 No. 4 (1982) pp. 1122-1134 :
    A Quantal Theory of Pairing Rotation, Pairing Vibrations and Independent-Particle Motions
    Atsushi Kuriyama and Masatoshi Yamamura
  2. 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
  3. 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
  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. 70 No. 6 (1983) pp. 1675-1678 :
    Canonicity Condition and Its Favourite Form of Collective Hamiltonian
    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. 76 No. 2 (1986) pp. 372-386 :
    Treatment of Nucleon-Number Conservation in the Selfconsistent Collective-Coordinate Method
    Masayuki Matsuo
  8. 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
  9. 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
  10. 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
  11. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 66-88 :
    A Microscopic Theory of Collective and Independent-Particle Motions
    Atsushi Kuriyama
  12. Progress of Theoretical Physics Supplement No.74 & 75 (1983) pp. 271-281 :
    An Extension of TDHF and Boson-Fermion Expansion
    Masatoshi Yamamura
  13. 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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