Prog. Theor. Phys. Vol. 71 No. 4 (1984) pp. 752-774

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Generalization of Equation of Collective Submanifold

— A Theory of Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom —

Masatoshi Yamamura and Atsushi Kuriyama

Faculty of Engineering, Kansai University, Suita 564

(Received September 27, 1983)

Abstract:

A theory is proposed with the aim of describing large amplitude collective motion and its coupling with intrinsic degrees of freedom. A canonical transformation is investigated in the full time-dependent Hartree-Fock theory, i.e., in the classical image of boson expansion theory. With the aid of the transformation, the whole system is separated into collective and intrinsic degrees of freedom. Under the condition of the unique separation, two types of equations of collective submanifold, which are canonically invariant, are obtained. One is of the same form as that of the conventional equation of collective submanifold. A principle of the specification of coordinate system is discussed.

URL : http://ptp.ipap.jp/link?PTP/71/752/
DOI : 10.1143/PTP.71.752

References:

T. Marumori, T. Maskawa, F. Sakata and A. Kuriyama, Prog. Theor. Phys. 64 (1980), 1294[PTP].
A. K. Mukherjee and M. K. Pal, Phys. Lett. 100B (1981), 457.
M. Yamamura, A. Kuriyama and S. Iida, Prog. Theor. Phys. 71 (1984), 109[PTP].
E. R. Marshalek and G. Holzwarth, Nucl. Phys. A191 (1972), 438[Elsevier].
J. B. Blaizot and E. R. Marshalek, Nucl. Phys. A309 (1978), 422[Elsevier]; ibid. A309 (1978), 453[Elsevier].
M. Yamamura and S. Nishiyama, Prog. Theor. Phys. 56 (1976), 124[PTP].
H. Fukutome, M. Yamamura and S. Nishiyama, Prog. Theor. Phys. 57 (1977), 1554[PTP].
A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 66 (1981), 2130[PTP].
M. Yamamura and A. Kuriyama, Prog. Theor. Phys. 66 (1981), 2147[PTP].
A. Kuriyama, Prog. Theor. Phys. Suppl. Nos. 74 & 75 (1983), 66[PTP].
M. Yamamura, Prog. Theor. Phys. Suppl. Nos. 74 & 75 (1983), 271[PTP].
A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 69 (1983), 681[PTP].
A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 71 (1984), No. 5.
F. Sakata, T. Marumori, Y. Hashimoto and T. Une, Prog. Theor. Phys. 70 (1983), 424[PTP].
J. da Providencia and J. N. Urbano, Proceedings of 1982 INS International Symposium on Dynamics of Nuclear Collective Motion (INS, 1982, July 6-10), p. 361.
A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 71 (1984), 122[PTP].
A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 70 (1983), 1675[PTP].

Citing Article(s) :

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
Progress of Theoretical Physics Vol. 73 No. 2 (1985) pp. 386-396 :
Applicability of the Concept of “Optimal” Collective Submanifold Determined by the Self-Consistent Collective-Coordinate Method

Yukio Hashimoto, Fumihiko Sakata and Toshio Marumori
Progress of Theoretical Physics Vol. 74 No. 1 (1985) pp. 51-65 :
Intrinsic Excitation Modes Compatible with Large-Amplitude Collective Motion in the TDHF Theory

Fumihiko Sakata, Toshio Marumori, Kazuhiro Muramatsu and Yukio Hashimoto
Progress of Theoretical Physics Vol. 74 No. 4 (1985) pp. 693-707 :
A Note on Collective Variables Determined by Equations of Collective Submanifold

Masatoshi Yamamura and Atsushi Kuriyama
Progress of Theoretical Physics Vol. 75 No. 2 (1986) pp. 272-287 :
Equations of Collective Submanifold for Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom. I

Masatoshi Yamamura and Atsushi Kuriyama
Progress of Theoretical Physics Vol. 75 No. 3 (1986) pp. 583-591 :
Equations of Collective Submanifold for Large Amplitude Collective Motion and Its Coupling with Intrinsic Degrees of Freedom. II

Masatoshi Yamamura and Atsushi Kuriyama
Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 387-399 :
Concept of Dynamical Collective Submanifold for Large-Amplitude Collective Motion in the TDHF Theory

Fumihiko Sakata, Toshio Marumori, Yukio Hashimoto, Kazuhiro Muramatsu and Masanori Ogura
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
Progress of Theoretical Physics Supplement No.93 (1987) pp. 1-175 :
Time-Dependent Hartree-Fock Method and Its Extension

Masatoshi Yamamura and Atsushi Kuriyama