Multiple Poles in the Scattering Green's Function and the Lightlike Limit of the Bethe-Salpeter Amplitude
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概要
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It is investigated how the Bethe-Salpeter amplitudes behave, when the bound-state four-momentum tends to a lightlike vector, in the ladder model in which two scalar particles exchange scalar particles having mass μ. For μ≠0 it is inferred that the scattering Green's function has multiple poles at s=0, where s stands for the invariant total energy squared, by proving that certain Bethe-Salpeter amplitudes are missing at s=0 in the equal-mass case. Some evidences of the existence of multiple poles are pointed out also in the unequal-mass case with μ≠0.
- 理論物理学刊行会の論文
- 1968-06-25
著者
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Nakanishi Noboru
Reseach Institure For Mathematical Sciences Kyoto University
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Nakanichi Noboru
Research Institute for Mathematical Sciences, Kyoto University
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