Continuation of S-Matrix into Second Riemann Sheet

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概要

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• In the framework of relativistic dispersion theory it is shown that the S-matrix continued into the second Riemann sheet is just the inverse of the one on the first Riemann sheet. This formula is used for deriving a dispersion-like relation between the real and imaginary parts of the scattering phase shift and also the product expansion for the S-matrix. It is noted that these results are generalizations of van Kampen's formulae in the theory of nonrelativistic potential scattering to those in the relativistic field theory. The so-called Castillejo-Dalitz-Dyson ambiguity is discussed on the basis of our S-matrix. Relations connecting the sum of the oscillator strengths with scattering lengths are also derived in generalized forms.

• 理論物理学刊行会の論文
• 1962-02-25

著者

• Ogimoto Takesi

  Department Of Physics Osaka University

関連論文

• Maximum Analyticity in Angular Momentum and Energy of the Bethe-Salpeter Scattering Amplitudes
• Macroscopic Causality and Lower Limit for the Momentum Derivative of the Scattering Phase Shift
• Quantum Theory in Pseudo-Hilbert Space. II
• Goldberger-Treiman Relation in the Unitary Symmetry Model
• Anti-Shrinkage of the p-p^^- Diffraction Scattering
• Quantum Theory in Pseudo-Hilbert Space
• Continuation of S-Matrix into Second Riemann Sheet
• Construction of the Jost Function Including Inelastic Processes
• Macroscopic Causality and Lower Limit for the Energy Derivative of the Scattering Phase Shift : Relativistic Case

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