On the Abnormal Solution of Bethe-Salpeter Equation : A Relation between Static and Non-Static Solutions
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概要
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It is shown that the Wick-Cutkosky solution of the covariant Bethe-Salpeter equation has a close connection with that of the static model, that is, the former is a bound state within a potential obtained from the Bethe-Salpeter equation in the static model. Hence the abnormal solution can be understood as a bound state in the physically meaningless potential. Further it is proved that in the case of non-vanishing intermediate boson mass, the covariant equation has no abnormal solution if λ≦1/4. This corresponds to the fact that the redundant potential, the abnormal energy eigenvalue of the fixed source Bethe-Salpeter equation, does not appear when λ≦1/4. The correspondence between the static and the non-static models exists also in the norm of the state vector, which is found to be (-1)^k for both cases.
- 理論物理学刊行会の論文
著者
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WATANABE Keiji
Department of Engineering, Yamagata University
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Watanabe Keiji
Department Of Physics Nagoya University
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Ohnuki Yoshio
Department Of Physics Nagoya University
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