Prog. Theor. Phys. Vol. 73 No. 1 (1985) pp. 128-142

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

— Perey Effect and Flux Conservation —

Kazuhiro Yabana and Hisashi Horiuchi

Department of Physics, Kyoto University, Kyoto 606

(Received July 9, 1984)

Abstract:

Wave functions of the coupled channel system with the equivalent potentials are compared with the wave functions generated by the original non-local potentials. The equivalent potentials to be used in the coupled channel equation are constructed by using the WKB prescription proposed in a previous paper of this series. Under a condition which is usually satisfied, the Perey factors of the coupled channel system are found to be given by the diabatic Perey factors. Although the probability densities and the velocities due to the equivalent potentials are different from the corresponding densities and velocities due to the original non-local potentials, the probability flux by the equivalent potentials is found to have the same value in each channel as the probability flux by the original non-local potentials.

URL : http://ptp.ipap.jp/link?PTP/73/128/
DOI : 10.1143/PTP.73.128

References:

K. Yabana and H. Horiuchi, Prog. Theor. Phys. 73 (1985), 100[PTP].
K. Yabana and H. Horiuchi, Prog. Theor. Phys. 71 (1984), 1275[PTP].
H. Horiuchi, Prog. Theor. Phys. 71 (1984), 535[PTP].
H. Horiuchi, Prog. Theor. Phys. 63 (1980), 725[PTP]; ibid. 64 (1980), 184[PTP].
H. Horiuchi, K. Aoki and T. Wada, Proc. 1983 RCNP Int. Symp. on Light Ion Reaction Mechanism (1983, Osaka), p. 806.

Citing Article(s) :

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