Prog. Theor. Phys. Vol. 73 No. 1 (1985) pp. 100-127

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A Semi-Classical Treatment of the Coupled Channel Equation with Non-Local Interaction. II

— Equivalent Local Potentials to Be Used in the Coupled Channel Treatment —

Kazuhiro Yabana and Hisashi Horiuchi

Department of Physics, Kyoto University, Kyoto 606

(Received June 21, 1984)

Abstract:

We give a prescription how to construct the maximally local equivalent potentials to be used in the coupled channel equation when the coupled channel equation with the non-local potentials is given. In constructing equivalent potentials we make use of the WKB treatment of the coupled channel equation which is given in the first paper of the present series. The diagonal equivalent local potentials by our method are near the corresponding diabatic equivalent local potentials. When the original non-local coupling potentials are not symmetric we are forced to introduce into the equivalent coupling potentials the term depending linearly on the momentum. The coupling equivalent potential contains in it as the multiplicative factor the product of the diabatic Perey factors of the channels which the coupling potential connects.

URL : http://ptp.ipap.jp/link?PTP/73/100/
DOI : 10.1143/PTP.73.100

References:

K. Yabana and H. Horiuchi, Prog. Theor. Phys. 71 (1984), 1275[PTP].
H. Horiuchi, Prog. Theor. Phys. 64 (1980), 184[PTP].
H. L. Berk and D. Pfirsch, J. Math. Phys. 21 (1980), 2054[CrossRef].
H. Horiuchi, Prog. Theor. Phys. 71 (1984), 535[PTP].
H. Horiuchi, K. Aoki and T. Wada, Proc. 1983 RCNP Int. Symp. on Light Ion Reaction Mechanism (May 16-20, 1983, Osaka), p. 806.
K. Aoki and H. Horiuchi, Prog. Theor. Phys. 66 (1981), 1508[PTP]; ibid. 66 (1981), 1903[PTP]; ibid. 67 (1982), 1236[PTP].
K. Aoki and H. Horiuchi, Prog. Theor. Phys. 68 (1982), 1658[PTP]; ibid. 68 (1982), 2028[PTP]; ibid. 69 (1983), 857[PTP]; ibid. 69 (1983), 1154[PTP].
H. Horiuchi, Prog. Theor. Phys. 69 (1983), 886[PTP].
H. Horiuchi, Prog. Theor. Phys. 63 (1980), 725[PTP].
H. Kobayashi, Prog. Theor. Phys. 70 (1983), 1283[PTP].
C. B. Dover and N. V. Giai, Nucl. Phys. A190 (1972), 373[Elsevier].

Citing Article(s) :

Progress of Theoretical Physics Vol. 73 No. 1 (1985) pp. 128-142 :
A Semi-Classical Treatment of the Coupled Channel Equation with Non-Local Interaction. III

Kazuhiro Yabana and Hisashi Horiuchi
Progress of Theoretical Physics Vol. 76 No. 5 (1986) pp. 1071-1088 :
Microscopic Analysis of Inelastic Coupling Potential Based on the Coupled Channel Resonating Group Method. I

Kazuhiro Yabana and Hisashi Horiuchi