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Prog. Theor. Phys. Vol. 78 No. 6 (1987) pp. 1364-1391
Optimum Collective Submanifold in Resonant Cases by the Self-Consistent Collective-Coordinate Method for Large-Amplitude Collective Motion
Yukio Hashimoto,
Toshio Marumori and
Fumihiko Sakata†
Institute of Physics, University of Tsukuba, Ibaraki 305
†Institute for Nuclear Study, University of Tokyo,
Tanashi, Tokyo 188
(Received June 22, 1987)
Abstract:
With the purpose of clarifying characteristic difference of the optimum collective submanifolds between in nonresonant and resonant cases, we propose an improved method of solving the basic equations of the self-consistent collective-coordinate (SCC) method, which describes optimum (“maximally-decoupled”) large-amplitude collective motion within the time-dependent Hartree-Fock theory. It is shown that, in the resonant cases, there inevitably arise essential coupling terms which break the maximal-decoupling property of the collective motion, so that we have to extend the optimum collective submanifold so as to properly treat the degrees of freedom bringing about the resonances. An illustrative example is given with a simple model Hamiltonian.
URL :
http://ptp.ipap.jp/link?PTP/78/1364/
DOI : 10.1143/PTP.78.1364
References:
- T. Marumori, T. Maskawa, F. Sakata and A. Kuriyama, Prog. Theor. Phys. 64 (1980), 1294[PTP].
- T. Marumori, F. Sakata, T. Maskawa, T. Une and Y. Hashimoto, Nuclear Collective Dynamics (Lecture of the 1982 International Summer School of Nuclear Physics, Brasov, Romania), ed. D. Bucurescu, V. Ceausescu and N. V. Zamfir (World Scientific, 1985), p. 1.
- T. Marumori and F. Sakata, Particles and Nuclei, ed. H. Terazawa (World Scientific, 1986), p. 207.
- M. Matsuo and K. Matsuyanagi, Kyoto Univ. Preprint KUNS 861.
- A. Klein, Dynamical Structure of Nuclear States, ed. D. J. Rowe (University of Toronto Press, 1972), p. 38.
- T. Marumori, A. Hayashi, T. Tomoda, A. Kuriyama and T. Maskawa, Prog. Theor. Phys. 63 (1980), 1576[PTP].
- A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 66 (1981), 2130[PTP]; ibid. 66 (1981), 2147[PTP].
F. Sakata, T. Marumori, Y. Hashimoto and T. Une, Prog. Theor. Phys. 70 (1983), 424[PTP].
-
S. T. Beliaev and V. G. Zelevinsky, Nucl. Phys. 39 (1962), 582[CrossRef].
T. Marumori, M. Yamamura and A. Tokunaga, Prog. Theor. Phys. 31 (1964), 1009[PTP].
E. R. Marshalek, Nucl. Phys. A347 (1980), 253.
P. Ring and P. Shuck, The Nuclear Many-Body Problem (Springer-Verlag, 1980), Chap. 9.
T. Marumori, K. Takada and F. Sakata, Prog. Theor. Phys. Suppl. No. 71 (1981), 1[PTP].
T. Marumori, K. Takada and F. Sakata, Proceedings of the Winter College on Fundamental Nuclear Physics, ed. K. Dietrich, M. Di Toro and H. J. Mang (World Scientific, 1985), p. 897.
- T. Marumori, Prog. Theor. Phys. 57 (1977), 112[PTP].
- A. Kuriyama and M. Yamamura, Prog. Theor. Phys. 70 (1983), 1675[PTP].
- G. D. Birkhoff, Dynamical Systems (Am. Math. Soc. New York, 1927), vol. IX.
F. G. Gustavson, Astron. J. 71 (1966), 670.
