S-Matrix and Abnormal Solutions of the Bethe-Salpeter Equation

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概要

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• We consider, in the ladder approximation, the S-matrix for two spinless particles interacting through a massive scalar field. Residues of poles in the S-matrix are expressed in terms of normalized Bethe-Salpeter amplitudes on the mass shell. In particular, residues are evaluated for zero energy-momentum states and some of them are rigorously shown to be non-zero. Furthermore, it is proved in the equal-mass case that residues for massive bound states can be obtained from those for zero energy-momentum bound states, by means of a series expansion in powers of the bound state mass. In other words, any "massive state" of even p_<0^->-parity is observable as a pole of the S-matrix, when the corresponding "zero energy-momentum state" has a non-vanishing residue.

• 理論物理学刊行会の論文
• 1968-09-25

著者

• Naito Seiichi

  Department Of Physics Defense Academy

• Naito Seiichi

  Department Of Physics University Of Tokyo

関連論文

• Linear Responses of Metal-Insulator-Metal Tunnel Junctions to Step Input Voltage
• Broken Symmetry and the Stability of Particle-like States
• S-Matrix and Abnormal Solutions of the Bethe-Salpeter Equation
• Spectra of Massless and Zero Energy-Momentum Solutions of the Bethe-Salpeter Equation

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