Relativistic Regge Approach from the Bethe-Salpeter Equation
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概要
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The Bethe-Salpeter equation of the Wick-Cutkosky model for the scattering amplitude is investigated by means of the stereographic projection method, which leads us to the O(4) invariant transformation property of the equation in all energy regions. This transformation property enables us to decompose the scattering amplitude into the partial wave amplitude with the four-dimensional angular momentum quantum number L. By the analysis of the scattering amplitude in the form of the Khuri representation in the complex L plane, we can show that the series of the parent trajectories themselves constitute the cancellation mechanism of the Khuri satellite poles at s=(m_1-m_2)^2 in the same manner as Freedman and Wang obtained the series of daughter trajectories.
- 理論物理学刊行会の論文
- 1968-09-25
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